{ "cells": [ { "cell_type": "markdown", "id": "0885f63d", "metadata": {}, "source": [ "# 14 · Bending Stiffness: a Mass-Spring Beam that Resists Bending\n", "\n", "Tutorial 11 built a mass-spring **cable**: springs only resist *stretch*, so a cable clamped at one\n", "end just flops down. Here we add a **bending** energy on the hinge turning angles, clamp one end (a\n", "cantilever), and watch the beam go from floppy to rigid as the bending stiffness $EI$ grows. Then we\n", "refine the mesh and check that the equilibrium converges to a single shape." ] }, { "cell_type": "markdown", "id": "85b137d1", "metadata": {}, "source": [ "Imports, and every tunable parameter of this notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "ac876f42", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:38.013757Z", "iopub.status.busy": "2026-09-24T03:44:38.013672Z", "iopub.status.idle": "2026-09-24T03:44:38.584371Z", "shell.execute_reply": "2026-09-24T03:44:38.583985Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import os\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import simkit\n", "import utils\n", "\n", "NOTEBOOK = \"014_bending_stiffness\" # this file's name\n", "RESULTS_DIR = utils.notebook_results_path(NOTEBOOK) # results/014_bending_stiffness/\n", "MEDIA_DIR = \"media\" # tracked copies for the website\n", "# continuum beam and load (fixed: only the discretization N changes)\n", "L = 4.0 # beam length\n", "EA = 2.0e4 # axial (stretch) stiffness, EA >> EI so the beam is nearly inextensible\n", "RHO = 0.2 # mass per unit length\n", "G = -9.8 # gravitational acceleration (y)\n", "# discretization and clamp\n", "N = 21 # nodes of the default beam\n", "N_CLAMP = 2 # leftmost nodes pinned: fixes the root position AND tangent\n", "K_PIN = 1e10 # clamp penalty stiffness\n", "EI_DEFAULT = 50.0 # bending stiffness of the default beam\n", "STATIC_ITERS = 200 # Newton iterations for a static equilibrium\n", "FD_STEP = 1e-4 # central-difference step for the gradient check\n", "FD_NOISE = 0.05 # size of the random perturbation for the gradient check\n", "SEED = 0 # random seed for the gradient check\n", "# section 2: bending energy of an arc\n", "MAX_TURN = 2.5 # largest total turning angle (rad)\n", "N_TURNS = 60 # samples of the turning angle\n", "ARC_TURNS = [0.5, 1.5, 2.5] # arcs drawn next to the energy curve\n", "# dynamics (sections 1 and 3)\n", "DT = 0.02 # backward-Euler time step\n", "N_STEPS = 160 # time steps per simulation\n", "N_FRAMES = 60 # frames sampled for the videos\n", "STEP_ITERS = 20 # Newton iterations per time step\n", "FPS = 20 # video frame rate\n", "EI_DYNAMIC = {\"soft\": 2.0, \"medium\": 50.0, \"stiff\": 2000.0} # released under gravity\n", "# section 3: static sweep, section 4: mesh refinement\n", "EI_STATIC = [2.0, 20.0, 200.0, 2000.0] # static equilibria at these stiffnesses\n", "N_REFINE = [5, 9, 17, 33, 65] # node counts for the refinement study\n", "N_REFERENCE = 129 # finest mesh, used as the reference solution" ] }, { "cell_type": "markdown", "id": "8ff0ba11", "metadata": {}, "source": [ "## The cantilever beam\n", "\n", "The beam is a horizontal chain of nodes. Consecutive nodes are joined by **springs** (`E`, stretch), and\n", "every interior node carries a **hinge** triple `C = (i, i+1, i+2)` that measures the turning angle\n", "between its two segments (bend). We clamp the root by pinning the `N_CLAMP = 2` leftmost nodes: two\n", "fixed nodes fix both the position *and* the tangent of the built-in end, which makes it a cantilever\n", "rather than a free pivot. `simkit.uniform_line` gives the nodes and springs, and consecutive springs give\n", "the hinges." ] }, { "cell_type": "code", "execution_count": 2, "id": "f8601f3f", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:38.585912Z", "iopub.status.busy": "2026-09-24T03:44:38.585781Z", "iopub.status.idle": "2026-09-24T03:44:38.589085Z", "shell.execute_reply": "2026-09-24T03:44:38.588338Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "default beam: 21 nodes, 20 springs, 19 hinges, pinned nodes [0 1]\n" ] } ], "source": [ "def beam_mesh(n_nodes):\n", " \"\"\"Straight beam of length L on the x-axis: nodes X, springs E, hinge triples C.\"\"\"\n", " s, E = simkit.uniform_line(n_nodes, return_simplex=True) # s in [0, 1], E = (k, k+1)\n", " X = np.hstack([L * s, np.zeros_like(s)])\n", " C = np.stack([E[:-1, 0], E[:-1, 1], E[1:, 1]], axis=1) # two consecutive springs = one hinge\n", " return X, E, C\n", "\n", "\n", "X, E, C = beam_mesh(N)\n", "pin_idx = np.arange(N_CLAMP)\n", "print(f\"default beam: {len(X)} nodes, {len(E)} springs, {len(C)} hinges, pinned nodes {pin_idx}\")" ] }, { "cell_type": "markdown", "id": "6884b2f5", "metadata": {}, "source": [ "Every beam used below, at rest, with nodes colored by their lumped mass (`simkit.massmatrix` on the\n", "springs). The mass per node shrinks as `N` grows, but the total mass $\\rho L$ stays fixed, one\n", "ingredient of a mesh-independent discretization." ] }, { "cell_type": "code", "execution_count": 3, "id": "51462ef1", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:38.590301Z", "iopub.status.busy": "2026-09-24T03:44:38.590203Z", "iopub.status.idle": "2026-09-24T03:44:38.934387Z", "shell.execute_reply": "2026-09-24T03:44:38.933845Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "meshes = [N] + N_REFINE + [N_REFERENCE]\n", "fig, axes = plt.subplots(len(meshes), 1, figsize=(9, 1.2 * len(meshes)), sharex=True)\n", "for ax, n_nodes in zip(axes, meshes):\n", " Xn, En, _ = beam_mesh(n_nodes)\n", " m = simkit.massmatrix(Xn, En, rho=RHO).diagonal()\n", " utils.plot_spring_network(ax, Xn, En, node_values=m, pins=pin_idx, lims=((-0.2, L + 0.2), (-0.25, 0.25)),\n", " node_size=18, label=\"node mass\",\n", " title=f\"N = {n_nodes} (segment {L / (n_nodes - 1):.3f}, total mass {m.sum():.2f})\")\n", " ax.set_yticks([])\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"beam_meshes.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"014_beam_meshes.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6e319099", "metadata": {}, "source": [ "## The potential\n", "\n", "With flattened node positions $x$, the static potential is a stretch term per spring $e$, a bending term\n", "per hinge $i$ (turning angle $\\theta_i$ from `simkit.dihedral_angles`, rest angle $\\theta_i^0 = 0$), gravity\n", "and the clamp penalty. The coefficients discretize a fixed continuum beam, so refining the mesh converges:\n", "$\\tfrac12 EA\\!\\int\\!\\varepsilon^2 ds$ becomes a spring with stiffness $EA/\\ell_e$ (simkit density\n", "$\\tfrac12 k(\\|d_e\\|-\\ell_e)^2$ with $k = EA/\\ell_e^2$ and quadrature weight $\\ell_e$), $\\tfrac12 EI\\!\\int\\!k^2 ds$\n", "(continuum curvature $k$) becomes a hinge stiffness $\\kappa_i = EI/\\ell_i$ since $\\theta_i \\approx k\\,\\ell_i$, with\n", "$\\ell_i$ the mean length of the hinge's two springs (`simkit.joint_lengths`), and the lumped mass spreads the\n", "fixed total $\\rho L$ over the nodes.\n", "\n", "$$\n", "\\Phi(x) = \\sum_e \\tfrac12\\,\\tfrac{EA}{\\ell_e}\\big(\\|d_e(x)\\|-\\ell_e\\big)^2\n", " + \\sum_i \\tfrac12\\,\\tfrac{EI}{\\ell_i}\\big(\\theta_i(x)-\\theta_i^0\\big)^2\n", " - f_g^\\top x + \\tfrac12 x^\\top Q x + b^\\top x\n", "$$" ] }, { "cell_type": "code", "execution_count": 4, "id": "8eecbf94", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:38.935606Z", "iopub.status.busy": "2026-09-24T03:44:38.935476Z", "iopub.status.idle": "2026-09-24T03:44:38.938648Z", "shell.execute_reply": "2026-09-24T03:44:38.938295Z" } }, "outputs": [], "source": [ "def cantilever_system(X, E, C, EI, pin_idx, psd=True):\n", " \"\"\"Static potential of the clamped beam: springs + hinge bending + gravity + clamp.\n", " psd=True projects each hinge Hessian block to PSD (always a descent direction).\"\"\"\n", " n, dim = X.shape\n", " l0 = simkit.edge_lengths(X, E).reshape(-1, 1) # rest spring lengths l_e\n", " ym = EA / l0 ** 2 # spring stiffness -> EA / l_e per spring\n", " vol = l0 # quadrature weight of each spring\n", " l_hinge = simkit.joint_lengths(X, C).reshape(-1, 1) # length l_i attached to each hinge\n", " kappa = EI / l_hinge # hinge stiffness EI / l_i\n", " theta0 = simkit.dihedral_angles(X, C) # rest turning angles (0: straight beam)\n", " f_g = simkit.gravity_force(X, E, a=G, rho=RHO).reshape(-1, 1)\n", " Q_pin, b_pin = simkit.dirichlet_penalty(pin_idx, X[pin_idx], n, K_PIN)\n", "\n", " def energy_func(x):\n", " E_stretch = simkit.energies.mass_springs_energy_x(x.reshape(n, dim), E, ym, vol, l0)\n", " E_bend = simkit.energies.bending_energy_x(x, C, theta0, kappa)\n", " E_gravity = -(f_g.T @ x).item()\n", " E_pin = simkit.energies.quadratic_energy(x, Q_pin, b_pin)\n", " E_total = E_stretch + E_bend + E_gravity + E_pin\n", " return E_total\n", "\n", " def gradient_func(x):\n", " g_stretch = simkit.energies.mass_springs_gradient_x(x.reshape(n, dim), E, ym, vol, l0)\n", " g_bend = simkit.energies.bending_gradient_x(x, C, theta0, kappa)\n", " g_gravity = -f_g\n", " g_pin = simkit.energies.quadratic_gradient(x, Q_pin, b_pin)\n", " g_total = g_stretch + g_bend + g_gravity + g_pin\n", " return g_total\n", "\n", " def hessian_func(x):\n", " H_stretch = simkit.energies.mass_springs_hessian_x(x.reshape(n, dim), E, ym, vol, l0, psd=True)\n", " H_bend = simkit.energies.bending_hessian_x(x, C, theta0, kappa, psd=psd)\n", " H_pin = simkit.energies.quadratic_hessian(Q_pin)\n", " H_total = H_stretch + H_bend + H_pin\n", " return H_total\n", "\n", " return energy_func, gradient_func, hessian_func" ] }, { "cell_type": "markdown", "id": "db386d44", "metadata": {}, "source": [ "`solve_static` minimizes $\\Phi$ with Newton from the flat rest shape. On the default beam we first check the\n", "analytic gradient against central differences (`simkit.gradient_cfd`) at a randomly bent state (the clamped\n", "nodes stay put, so the check sees springs, hinges and gravity), then solve, once with the PSD-projected hinge\n", "Hessian used throughout the notebook and once with the exact one. The gradient error is tiny, both solves\n", "reach the same tip, and the stretch strain is negligible next to the bending deflection." ] }, { "cell_type": "code", "execution_count": 5, "id": "f4323d80", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:38.939650Z", "iopub.status.busy": "2026-09-24T03:44:38.939581Z", "iopub.status.idle": "2026-09-24T03:44:39.016504Z", "shell.execute_reply": "2026-09-24T03:44:39.016012Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gradient check: |g_fd - g| / |g| = 6.7e-08\n", " PSD hinge Hessian: 35 Newton iterations, |grad| = 2.9e-05, tip = [ 3.83 -1.064]\n", "exact hinge Hessian: 13 Newton iterations, |grad| = 5.0e-06, tip = [ 3.83 -1.064]\n", "max stretch strain = 6.6e-05\n" ] } ], "source": [ "def solve_static(EI, n_nodes=N, psd=True):\n", " \"\"\"Static equilibrium of the n_nodes cantilever: nodes (n, 2) and Newton's per-iteration info.\"\"\"\n", " Xn, En, Cn = beam_mesh(n_nodes)\n", " energy_func, gradient_func, hessian_func = cantilever_system(Xn, En, Cn, EI, pin_idx, psd=psd)\n", " x, info = simkit.solvers.newton_solver(Xn.reshape(-1, 1), energy_func, gradient_func, hessian_func,\n", " max_iter=STATIC_ITERS, do_line_search=True, return_info=True)\n", " return x.reshape(n_nodes, 2), info\n", "\n", "\n", "energy_func, gradient_func, hessian_func = cantilever_system(X, E, C, EI_DEFAULT, pin_idx)\n", "noise = FD_NOISE * np.random.default_rng(SEED).standard_normal(X.shape)\n", "noise[pin_idx] = 0.0\n", "x_test = (X + noise).reshape(-1, 1)\n", "g_fd = simkit.gradient_cfd(lambda y: np.array(energy_func(y)), x_test, FD_STEP)\n", "g_an = gradient_func(x_test).ravel()\n", "print(f\"gradient check: |g_fd - g| / |g| = {np.linalg.norm(g_fd - g_an) / np.linalg.norm(g_an):.1e}\")\n", "\n", "U_default, info_default = solve_static(EI_DEFAULT)\n", "U_exact, info_exact = solve_static(EI_DEFAULT, psd=False)\n", "strain = simkit.edge_lengths(U_default, E) / simkit.edge_lengths(X, E) - 1.0\n", "for name, U, info in [(\"PSD hinge Hessian\", U_default, info_default), (\"exact hinge Hessian\", U_exact, info_exact)]:\n", " print(f\"{name:>19}: {info['iters'] + 1:3d} Newton iterations, \"\n", " f\"|grad| = {np.linalg.norm(gradient_func(U.reshape(-1, 1))):.1e}, tip = {np.round(U[-1], 3)}\")\n", "print(f\"max stretch strain = {strain.max():.1e}\")" ] }, { "cell_type": "markdown", "id": "2151c987", "metadata": {}, "source": [ "Four checks of that equilibrium. **Top left:** the beam colored by its discrete curvature $\\theta_i/\\ell_i$,\n", "largest in magnitude at the clamp (negative: the beam turns clockwise) and near zero at the free tip.\n", "**Top right:** the stretch strain of every spring, a tension below $10^{-4}$ (far smaller than the bending deflection)\n", "that peaks mid-span, where the sloped tangent carries part of the overhang's weight. **Bottom left:** the moment each hinge carries,\n", "$\\kappa_i\\theta_i$, against the gravity moment of the overhang beyond it, $\\sum_{j>i} f_{g,j}\\,(x_j - x_i)$;\n", "torque balance says they must agree, and the printed maximum mismatch (~1e-4 against moments up to ~14) is the\n", "Newton residual. **Bottom right:** Newton's gradient norm per iteration. It first jumps and oscillates while the\n", "line-searched steps swing the beam down from flat; then the exact hinge Hessian converges quadratically, while the\n", "PSD projection (which drops the negative part of the geometric term $\\kappa_i\\theta_i\\,\\partial^2\\theta_i/\\partial x^2$)\n", "converges only linearly, the price of a guaranteed descent direction." ] }, { "cell_type": "code", "execution_count": 6, "id": "ce1eea1a", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:39.017584Z", "iopub.status.busy": "2026-09-24T03:44:39.017507Z", "iopub.status.idle": "2026-09-24T03:44:39.484826Z", "shell.execute_reply": "2026-09-24T03:44:39.484350Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "max |hinge moment - gravity moment| = 1.0e-04\n" ] } ], "source": [ "theta = simkit.dihedral_angles(U_default, C).ravel()\n", "l_hinge = simkit.joint_lengths(X, C)\n", "curvature = np.full(N, np.nan)\n", "curvature[C[:, 1]] = theta / l_hinge\n", "f_g = simkit.gravity_force(X, E, a=G, rho=RHO)\n", "hinge_moment = EI_DEFAULT / l_hinge * theta\n", "gravity_moment = np.array([np.sum(f_g[i + 1:, 1] * (U_default[i + 1:, 0] - U_default[i, 0])) for i in C[:, 1]])\n", "\n", "fig, ((ax_beam, ax_strain), (ax_torque, ax_newton)) = plt.subplots(2, 2, figsize=(14, 8))\n", "utils.plot_spring_network(ax_beam, U_default, E, node_values=curvature, pins=pin_idx, cmap=\"viridis\",\n", " lims=utils.auto_limits([U_default], pad=0.3), label=r\"curvature $\\theta_i/\\ell_i$\",\n", " title=f\"equilibrium, EI = {EI_DEFAULT:g}\")\n", "s_spring = X[E, 0].mean(axis=1) # rest arclength of each spring's midpoint\n", "ax_strain.plot(s_spring, strain, \"o-\", ms=4, color=\"#9467bd\")\n", "ax_strain.set(xlabel=\"arclength s of the spring\", ylabel=\"stretch strain\", title=\"springs barely stretch\")\n", "ax_strain.grid(True, color=\"0.9\")\n", "s_hinge = X[C[:, 1], 0]\n", "ax_torque.plot(s_hinge, hinge_moment, \"o\", ms=6, color=utils.ENERGY_COLORS[\"elastic\"], label=r\"hinge moment $\\kappa_i\\theta_i$\")\n", "ax_torque.plot(s_hinge, gravity_moment, \"-\", lw=2, color=\"k\", label=\"gravity moment of overhang\")\n", "ax_torque.set(xlabel=\"arclength s of the hinge\", ylabel=\"moment\", title=\"torque balance at every hinge\")\n", "ax_torque.grid(True, color=\"0.9\"); ax_torque.legend(fontsize=9)\n", "for info, name, color in [(info_default, \"PSD hinge Hessian (used throughout)\", utils.SOLVER_COLORS[\"Newton\"]),\n", " (info_exact, \"exact hinge Hessian\", \"#ff7f0e\")]:\n", " grad_norms = [np.linalg.norm(g) for g in info[\"g\"]]\n", " ax_newton.semilogy(np.arange(len(grad_norms)), grad_norms, \"-o\", ms=3, color=color, label=name)\n", "ax_newton.legend(fontsize=9)\n", "ax_newton.set(xlabel=\"Newton iteration\", ylabel=r\"$\\|\\nabla\\Phi\\|$\", title=\"static solve convergence\")\n", "ax_newton.grid(True, which=\"both\", color=\"0.9\")\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"static_validation.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"014_static_validation.png\"))\n", "plt.show()\n", "print(f\"max |hinge moment - gravity moment| = {np.abs(hinge_moment - gravity_moment).max():.1e}\")" ] }, { "cell_type": "markdown", "id": "a743a8d8", "metadata": {}, "source": [ "## 1 · Springs alone can't hold a shape\n", "\n", "For dynamics each backward-Euler step minimizes the inertia term plus the static potential,\n", "$\\tfrac{1}{2h^2}\\|x - (2x_t - x_{t-1})\\|_M^2 + \\Phi(x)$. `backward_euler_system` wraps the cantilever\n", "potential with `simkit.energies.kinetic_*_be`, and `simulate` rebuilds it at every step with the two latest\n", "states, releasing the beam from flat and recording frames, kinetic energy and the tip height." ] }, { "cell_type": "code", "execution_count": 7, "id": "175a0c76", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:39.486055Z", "iopub.status.busy": "2026-09-24T03:44:39.485945Z", "iopub.status.idle": "2026-09-24T03:44:39.489272Z", "shell.execute_reply": "2026-09-24T03:44:39.488889Z" } }, "outputs": [], "source": [ "def backward_euler_system(potential, M, x_curr, x_prev, h):\n", " \"\"\"One backward-Euler step as a minimization: inertia + the static potential.\"\"\"\n", " energy_potential, gradient_potential, hessian_potential = potential\n", "\n", " def energy_func(x):\n", " E_inertia = simkit.energies.kinetic_energy_be(x, x_curr, x_prev, M, h)\n", " E_potential = energy_potential(x)\n", " E_total = E_inertia + E_potential\n", " return E_total\n", "\n", " def gradient_func(x):\n", " g_inertia = simkit.energies.kinetic_gradient_be(x, x_curr, x_prev, M, h)\n", " g_potential = gradient_potential(x)\n", " g_total = g_inertia + g_potential\n", " return g_total\n", "\n", " def hessian_func(x):\n", " H_inertia = simkit.energies.kinetic_hessian_be(M, h)\n", " H_potential = hessian_potential(x)\n", " H_total = H_inertia + H_potential\n", " return H_total\n", "\n", " return energy_func, gradient_func, hessian_func\n", "\n", "\n", "def simulate(EI, n_nodes=N):\n", " \"\"\"Release the flat cantilever under gravity; return sampled frames, their times and kinetic\n", " energies, plus the tip height at every step.\"\"\"\n", " Xn, En, Cn = beam_mesh(n_nodes)\n", " potential = cantilever_system(Xn, En, Cn, EI, pin_idx)\n", " M = sp.sparse.kron(simkit.massmatrix(Xn, En, rho=RHO), sp.sparse.eye(2)).tocsc()\n", " x_prev = Xn.reshape(-1, 1).copy()\n", " x_curr = x_prev.copy()\n", " sample = set(np.linspace(0, N_STEPS, N_FRAMES).astype(int))\n", " frames, times, kinetic, tip_y = [Xn.copy()], [0.0], [0.0], [0.0]\n", " for step in range(1, N_STEPS + 1):\n", " step_funcs = backward_euler_system(potential, M, x_curr, x_prev, DT)\n", " x_next = simkit.solvers.newton_solver(x_curr.copy(), *step_funcs, max_iter=STEP_ITERS, do_line_search=True)\n", " x_prev, x_curr = x_curr, x_next\n", " tip_y.append(x_curr[-1, 0])\n", " if step in sample:\n", " v = (x_curr - x_prev) / DT\n", " frames.append(x_curr.reshape(n_nodes, 2).copy())\n", " times.append(step * DT)\n", " kinetic.append(0.5 * (v.T @ M @ v).item())\n", " return frames, np.array(times), np.array(kinetic), np.array(tip_y)" ] }, { "cell_type": "markdown", "id": "9f065dd5", "metadata": {}, "source": [ "Turn bending **off** (`EI = 0`) and release the clamped chain (the view is fitted to every frame). With no\n", "resistance to curvature the chain swings down past vertical like a pendulum and back, exactly the cable behavior\n", "of tutorial 11; the kinetic energy (right) rises and falls with every swing, damped only slowly by backward Euler." ] }, { "cell_type": "code", "execution_count": 8, "id": "38423d54", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:39.490283Z", "iopub.status.busy": "2026-09-24T03:44:39.490209Z", "iopub.status.idle": "2026-09-24T03:44:42.093563Z", "shell.execute_reply": "2026-09-24T03:44:42.093008Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "frames, times, kinetic, _ = simulate(0.0)\n", "x_lims, (y_lo, y_hi) = utils.auto_limits(frames) # fit every frame ...\n", "fig, anim = utils.animate_springs_energy(\n", " frames, E, times, {\"kinetic\": kinetic}, rest=X, lims=(x_lims, (y_lo, y_hi + 0.8)), # ... plus room for the legend\n", " xlabel=\"time (s)\", ylabel=\"kinetic energy\", scene_title=\"springs only (EI = 0): it swings like a chain\",\n", " title=\"kinetic energy\", colors={\"kinetic\": utils.ENERGY_COLORS[\"kinetic\"]}, pin_pts=X[pin_idx])\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"springs_only.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"014_springs_only.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "f206712b", "metadata": {}, "source": [ "## 2 · Bending energy penalizes the turning angle\n", "\n", "The bending energy sums $\\tfrac12\\kappa_i(\\theta_i-\\theta_i^0)^2$ over hinges, so it grows quadratically as we\n", "curl the beam into a circular arc of total turning angle $\\Theta$ (`utils.arc_polyline` gives every hinge the same\n", "angle $\\Theta/(N-1)$). **Left:** three arcs colored by their hinge angle, stacked top to bottom. **Right:** the\n", "energy follows the continuum value $EI\\,\\Theta^2/2L$ (dashed) up to the factor $(N-2)/(N-1)$, because the $N-1$\n", "segments meet at only $N-2$ hinges, which confirms the $\\kappa_i = EI/\\ell_i$ scaling." ] }, { "cell_type": "code", "execution_count": 9, "id": "daaa09b2", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:42.094667Z", "iopub.status.busy": "2026-09-24T03:44:42.094583Z", "iopub.status.idle": "2026-09-24T03:44:42.283093Z", "shell.execute_reply": "2026-09-24T03:44:42.282632Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "theta0 = simkit.dihedral_angles(X, C)\n", "kappa = EI_DEFAULT / simkit.joint_lengths(X, C).reshape(-1, 1)\n", "turns = np.linspace(0.0, MAX_TURN, N_TURNS)\n", "E_arc = [simkit.energies.bending_energy_x(utils.arc_polyline(L, N, t).reshape(-1, 1), C, theta0, kappa) for t in turns]\n", "\n", "arcs, dy = [], 0.0\n", "for t in ARC_TURNS: # stack the arcs top to bottom\n", " arcs.append(utils.arc_polyline(L, N, t) + np.array([0.0, dy]))\n", " dy = arcs[-1][:, 1].min() - 0.5\n", "(x_lo, x_hi), y_lims = utils.auto_limits(arcs, pad=0.3)\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 4.5), gridspec_kw={\"width_ratios\": [1.2, 1]})\n", "for j, (t, A) in enumerate(zip(ARC_TURNS, arcs)):\n", " hinge_angle = np.full(N, np.nan)\n", " hinge_angle[C[:, 1]] = simkit.dihedral_angles(A, C).ravel()\n", " utils.plot_spring_network(axes[0], A, E, node_values=hinge_angle, vmin=0.0, vmax=MAX_TURN / (N - 1),\n", " cmap=\"viridis\", node_size=22, colorbar=(j == 0), label=r\"hinge angle $\\theta_i$ (rad)\",\n", " lims=((x_lo, x_hi + 0.2 * L), y_lims), title=r\"circular arcs of total turn $\\Theta$\")\n", " axes[0].text(A[-1, 0] + 0.12, A[-1, 1], rf\"$\\Theta$ = {t:g}\", va=\"center\", ha=\"left\", fontsize=10)\n", "utils.line_plot(turns, {\"bending energy\": E_arc, r\"continuum $EI\\,\\Theta^2/2L$\": EI_DEFAULT * turns ** 2 / (2 * L)},\n", " xlabel=r\"total turning angle $\\Theta$ (rad)\", ylabel=\"bending energy\", ax=axes[1],\n", " colors={\"bending energy\": utils.ENERGY_COLORS[\"elastic\"], r\"continuum $EI\\,\\Theta^2/2L$\": \"0.4\"},\n", " title=r\"Bending energy is quadratic in curvature ($\\propto \\Theta^2$)\")\n", "axes[1].lines[1].set_linestyle(\"--\")\n", "axes[1].legend(fontsize=9)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"bending_energy.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"014_bending_energy.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7ecc82be", "metadata": {}, "source": [ "## 3 · Flop when soft, hold its shape when stiff\n", "\n", "Release the cantilever under gravity at three bending stiffnesses. The soft beam **flops around**, swinging\n", "down past vertical and curling back; as $EI$ grows the beam **holds its shape**, barely deflecting from\n", "horizontal. Stretching stays stiff throughout ($EA \\gg EI$), so only the resistance to *bending* changes." ] }, { "cell_type": "code", "execution_count": 10, "id": "a77edd98", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:42.284601Z", "iopub.status.busy": "2026-09-24T03:44:42.284492Z", "iopub.status.idle": "2026-09-24T03:44:46.656161Z", "shell.execute_reply": "2026-09-24T03:44:46.655739Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "runs = {name: simulate(EI) for name, EI in EI_DYNAMIC.items()}\n", "panels = [{\"states\": runs[name][0], \"E\": E, \"title\": f\"{name} (EI={EI:g})\"} for name, EI in EI_DYNAMIC.items()]\n", "all_frames = [U for run in runs.values() for U in run[0]] # fit the view to every frame of every run\n", "fig, anim = utils.animate_springs_grid(panels, lims=utils.auto_limits(all_frames), fps=FPS, pin_pts=X[pin_idx],\n", " suptitle=\"Same beam, same gravity: stiffer bending = holds its shape\")\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"flop_to_rigid.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"014_flop_to_rigid.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "35ebb35d", "metadata": {}, "source": [ "The tip height over time for the same three runs, with each beam's static equilibrium (dashed); the right panel\n", "zooms in on the stiffest beam, whose swing of a few hundredths is invisible at the left scale. The medium beam\n", "oscillates about its equilibrium while backward Euler's numerical damping slowly shrinks the swing; the stiff\n", "beam's fast oscillation is damped out within about a second (backward Euler damps high frequencies hardest);\n", "the soft beam swings all the way down to its hanging equilibrium and bounces back, far from settled by the end." ] }, { "cell_type": "code", "execution_count": 11, "id": "1b8277d7", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:46.657678Z", "iopub.status.busy": "2026-09-24T03:44:46.657551Z", "iopub.status.idle": "2026-09-24T03:44:46.902277Z", "shell.execute_reply": "2026-09-24T03:44:46.901781Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_all = DT * np.arange(N_STEPS + 1)\n", "colors = {name: plt.get_cmap(\"tab10\")(j) for j, name in enumerate(EI_DYNAMIC)}\n", "tip_static = {name: solve_static(EI)[0][-1, 1] for name, EI in EI_DYNAMIC.items()}\n", "stiffest = max(EI_DYNAMIC, key=EI_DYNAMIC.get)\n", "fig, (ax, ax_zoom) = plt.subplots(1, 2, figsize=(13, 4.5), gridspec_kw={\"width_ratios\": [1.6, 1]})\n", "for name, EI in EI_DYNAMIC.items():\n", " ax.plot(t_all, runs[name][3], lw=2, color=colors[name], label=f\"{name} (EI={EI:g})\")\n", " ax.axhline(tip_static[name], color=colors[name], ls=\"--\", lw=1.2)\n", "ax_zoom.plot(t_all, runs[stiffest][3], lw=2, color=colors[stiffest])\n", "ax_zoom.axhline(tip_static[stiffest], color=colors[stiffest], ls=\"--\", lw=1.2)\n", "ax.set(xlabel=\"time (s)\", ylabel=\"tip height\", title=\"Dynamic tip height vs static equilibrium (dashed)\")\n", "ax_zoom.set(xlabel=\"time (s)\", ylabel=\"tip height\", title=f\"zoom: {stiffest} beam (EI={EI_DYNAMIC[stiffest]:g})\")\n", "ax.grid(True, color=\"0.9\"); ax_zoom.grid(True, color=\"0.9\"); ax.legend(fontsize=9)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"tip_vs_time.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"014_tip_vs_time.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2547078c", "metadata": {}, "source": [ "The **static equilibria** over a wider sweep tell the same story: the droop shrinks steadily as the bending\n", "stiffness increases." ] }, { "cell_type": "code", "execution_count": 12, "id": "0b09372a", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:46.903368Z", "iopub.status.busy": "2026-09-24T03:44:46.903286Z", "iopub.status.idle": "2026-09-24T03:44:47.109887Z", "shell.execute_reply": "2026-09-24T03:44:47.109504Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7.5, 4.5))\n", "utils.setup_axes(ax, (-0.5, L + 0.5), (-L - 0.2, 0.6), title=\"Static cantilever sag vs bending stiffness\")\n", "cmap = plt.get_cmap(\"viridis\")\n", "for j, EI in enumerate(EI_STATIC):\n", " U = solve_static(EI)[0]\n", " ax.plot(U[:, 0], U[:, 1], \"-o\", ms=3, lw=2, color=cmap(j / (len(EI_STATIC) - 1)), label=f\"EI = {EI:g}\")\n", "ax.scatter(X[pin_idx, 0], X[pin_idx, 1], s=70, marker=\"s\", color=utils.PIN_C, zorder=5, label=\"clamped\")\n", "ax.legend(fontsize=9, loc=\"lower right\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"static_sweep.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"014_static_sweep.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8e446974", "metadata": {}, "source": [ "## 4 · Refine the mesh → convergence to one shape\n", "\n", "Hold the *continuum* beam fixed ($L, EI, EA, \\rho, g$) and change only the number of nodes `N`. Because the\n", "stiffnesses and masses were scaled to be mesh-independent, the discrete equilibria pile up onto a **single\n", "limiting curve**: coarse meshes are too stiff and under-droop (clamping two nodes also freezes the whole first\n", "segment, $L/(N-1)$, visible as the flat root of N = 5), and each refinement moves less than the last." ] }, { "cell_type": "code", "execution_count": 13, "id": "8210d044", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:47.110994Z", "iopub.status.busy": "2026-09-24T03:44:47.110923Z", "iopub.status.idle": "2026-09-24T03:44:47.855677Z", "shell.execute_reply": "2026-09-24T03:44:47.855335Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sols = {n_nodes: solve_static(EI_DEFAULT, n_nodes)[0] for n_nodes in N_REFINE + [N_REFERENCE]}\n", "fig, ax = plt.subplots(figsize=(7.5, 4.5))\n", "utils.setup_axes(ax, *utils.auto_limits(list(sols.values()), pad=0.4),\n", " title=f\"Refining the mesh converges to one shape (EI={EI_DEFAULT:g})\")\n", "cmap = plt.get_cmap(\"plasma\")\n", "for j, n_nodes in enumerate(N_REFINE):\n", " U = sols[n_nodes]\n", " ax.plot(U[:, 0], U[:, 1], \"-o\", ms=3, lw=1.8, color=cmap(j / len(N_REFINE)), label=f\"N = {n_nodes}\")\n", "ax.plot(sols[N_REFERENCE][:, 0], sols[N_REFERENCE][:, 1], \"k--\", lw=1.2, label=f\"N = {N_REFERENCE} (reference)\")\n", "ax.legend(fontsize=9, loc=\"lower left\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"refinement.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"014_refinement.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2bc1a093", "metadata": {}, "source": [ "Measured against the finest mesh, the tip deflection error falls at first order: doubling the number of\n", "segments roughly halves the error (the last point drops a bit faster because the N = 129 reference is itself\n", "only approximate)." ] }, { "cell_type": "code", "execution_count": 14, "id": "198e4dc0", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:47.856782Z", "iopub.status.busy": "2026-09-24T03:44:47.856714Z", "iopub.status.idle": "2026-09-24T03:44:47.963247Z", "shell.execute_reply": "2026-09-24T03:44:47.962835Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "tip error: {5: 0.4697, 9: 0.238, 17: 0.1131, 33: 0.0489, 65: 0.0164}\n" ] } ], "source": [ "tip_ref = sols[N_REFERENCE][-1, 1]\n", "tip_err = [abs(sols[n_nodes][-1, 1] - tip_ref) for n_nodes in N_REFINE]\n", "fig, ax = utils.loglog_plot(np.array(N_REFINE), {\"tip error vs finest\": tip_err},\n", " xlabel=\"number of nodes N\", ylabel=f\"|tip_y(N) - tip_y(N={N_REFERENCE})|\",\n", " colors={\"tip error vs finest\": \"#d62728\"}, ref_slopes={\"O(1/N)\": -1},\n", " title=\"Tip deflection converges as the mesh refines\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"tip_convergence.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"014_tip_convergence.png\"))\n", "plt.show()\n", "print(\"tip error:\", {n_nodes: round(float(err), 4) for n_nodes, err in zip(N_REFINE, tip_err)})" ] }, { "cell_type": "markdown", "id": "c122e8e4", "metadata": {}, "source": [ "## 5 · Aside: the same bending one dimension up\n", "\n", "The hinge angle used here is the **2D** member of one family: discrete bending always lives on a\n", "*codimension-1 hinge* shared by two flaps, and the energy $\\tfrac12\\kappa(\\theta-\\theta_0)^2$ is the same in\n", "every dimension, only the geometry of $\\theta$ changes. `simkit.dihedral_angles(X, C)` infers which one from\n", "the data, and the same `bending_energy_x(x, C, theta0, kappa)` assembles both (the 3D\n", "`discrete_shells_bending_*` functions are thin wrappers over it), so a bending **cloth** only swaps the\n", "connectivity and adds a coordinate.\n", "\n", "| | flaps | shared hinge | connectivity | angle |\n", "|---|---|---|---|---|\n", "| **curve in 2D** (this tutorial) | edges | a **vertex** | triple `(A,B,C)` | hinge turning angle |\n", "| **surface in 3D** (cloth/shells) | triangles | an **edge** | quad `(x0,x1,x2,x3)` | dihedral fold angle |" ] }, { "cell_type": "markdown", "id": "7745d358", "metadata": {}, "source": [ "### Takeaways\n", "* Springs resist stretch; a **bending** energy on the hinge angles is what lets a beam resist *curvature* and\n", " hold a shape.\n", "* Increasing bending stiffness $EI$ takes the cantilever from **floppy** (flops down under gravity) to\n", " **rigid** (holds nearly horizontal).\n", "* Scaling the springs ($EA/\\ell$), hinges ($EI/\\ell$) and masses ($\\rho\\ell$) to a fixed continuum beam makes\n", " the simulation **mesh-independent**: refining `N` converges to one equilibrium at first order.\n", "* The 2D hinge and 3D dihedral bending are the *same* energy one codimension apart, unified behind\n", " `simkit.dihedral_angles` / `bending_energy_x`." ] } ], "metadata": { "kernelspec": { "display_name": "simkit", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }