{ "cells": [ { "cell_type": "markdown", "id": "e395c0ce", "metadata": {}, "source": [ "# 9 · Contact: Dropping an Elastic Block on the Floor\n", "\n", "Inertia, gravity and contact together: an elastic block is **dropped** onto a flat floor\n", "and bounces. Each Backward-Euler step is one Newton minimization, and we watch the energies\n", "trade off: gravity builds **kinetic** energy on the way down, impact turns it into **contact**\n", "and **elastic** energy, and the rebound hands it back.\n", "\n", "$$\n", "x_{n+1} = \\arg\\min_x\\; \\tfrac{1}{2h^2}\\lVert x - \\tilde{x}\\rVert_M^2\n", " + E_{\\text{elastic}}(x) + E_{\\text{gravity}}(x) + E_{\\text{floor}}(x)\n", "$$" ] }, { "cell_type": "markdown", "id": "87b227e7", "metadata": {}, "source": [ "Imports, and every tunable parameter of this notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "2fd41083", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:30.153698Z", "iopub.status.busy": "2026-09-24T03:44:30.153616Z", "iopub.status.idle": "2026-09-24T03:44:30.700891Z", "shell.execute_reply": "2026-09-24T03:44:30.700041Z" } }, "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 igl\n", "import simkit\n", "import utils\n", "\n", "NOTEBOOK = \"009_contact_plane\" # this file's name\n", "RESULTS_DIR = utils.notebook_results_path(NOTEBOOK) # results/009_contact_plane/\n", "MEDIA_DIR = \"media\" # tracked copies for the website\n", "# block mesh\n", "NX, NY = 10, 8 # grid vertices along x and y\n", "WIDTH, HEIGHT = 0.5, 0.5 # block size (m)\n", "DROP_HEIGHT = 1.0 # initial height of the block's center (m)\n", "# material\n", "MATERIAL = \"macklin-mueller-neo-hookean\"\n", "YM, PR = 1e5, 0.4 # Young's modulus (Pa), Poisson ratio\n", "RHO = 1e3 # density (kg / m^2)\n", "GRAVITY = -9.8 # vertical acceleration (m / s^2)\n", "# floor\n", "FLOOR_POINT = np.array([0.0, -0.6]) # a point on the floor plane\n", "FLOOR_NORMAL = np.array([0.0, 1.0]) # upward floor normal (keep (0, 1): gravity is along -y, plots draw a flat floor)\n", "K_CONTACT = 1e5 # contact penalty stiffness\n", "# time stepping\n", "DT = 0.01 # Backward-Euler timestep (s)\n", "N_STEPS = 130 # number of timesteps\n", "NEWTON_ITERS = 8 # max Newton iterations per step\n", "# validation\n", "FD_STEP = 1e-6 # central-difference step for the gradient check\n", "FD_DEPTH = 0.02 # how far the gradient-check state sinks into the floor (m)\n", "FD_NOISE = 0.01 # random vertex jitter of the gradient-check state (m)\n", "SEED = 0 # RNG seed for that jitter\n", "# plots\n", "FPS = 25 # animation frame rate\n", "VIEW_LIMS = ((-2 * WIDTH, 2 * WIDTH), (FLOOR_POINT[1] - 0.2, DROP_HEIGHT + HEIGHT / 2 + 0.15)) # scene window (m)" ] }, { "cell_type": "markdown", "id": "43c07e3a", "metadata": {}, "source": [ "## The block and the floor\n", "\n", "A libigl grid, centered, scaled to `WIDTH` x `HEIGHT` and lifted to `DROP_HEIGHT`. The figure\n", "shows it at rest above the floor (gray). Nothing is pinned: gravity alone drives the motion." ] }, { "cell_type": "code", "execution_count": 2, "id": "54eea2f0", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:30.703302Z", "iopub.status.busy": "2026-09-24T03:44:30.703090Z", "iopub.status.idle": "2026-09-24T03:44:30.768424Z", "shell.execute_reply": "2026-09-24T03:44:30.767814Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "80 vertices, 126 triangles, bottom of the block 1.35 m above the floor\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "V, T = igl.triangulated_grid(NX, NY) # unit square, NX x NY vertices\n", "X = (V - 0.5) * np.array([WIDTH, HEIGHT]) # centered WIDTH x HEIGHT block\n", "X[:, 1] += DROP_HEIGHT # start up high\n", "n, dim = X.shape\n", "print(f\"{n} vertices, {len(T)} triangles, bottom of the block {((X - FLOOR_POINT) @ FLOOR_NORMAL).min():.2f} m above the floor\")\n", "\n", "fig, ax = plt.subplots(figsize=(4.5, 5))\n", "utils.plot_mesh(ax, X, T, title=\"rest mesh above the floor\", lims=VIEW_LIMS)\n", "ax.axhline(FLOOR_POINT[1], color=\"0.3\", lw=2)\n", "ax.fill_between(VIEW_LIMS[0], VIEW_LIMS[1][0], FLOOR_POINT[1], color=\"0.88\", zorder=1)\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"mesh.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"009_mesh.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "da8cff2c", "metadata": {}, "source": [ "## Constant operators\n", "\n", "Built once from the rest shape: the deformation Jacobian `J`, triangle areas `vol`, Lamé\n", "parameters, the lumped vertex mass `M_n` (and its per-coordinate `M`), and the gravity force\n", "`f_g`. Every triangle has the same area (left), so $m_i$, a third of the mass of the triangles\n", "meeting at vertex $i$, depends only on how many meet there (right). The mass also weights the\n", "floor, $E_{\\text{floor}} = \\tfrac{k}{2}\\sum_i m_i \\min\\!\\big(0,\\, n^\\top(x_i - p)\\big)^2$,\n", "so vertex $i$'s floor spring has stiffness $k\\,m_i$. Interior vertices carry the most mass\n", "(3.97 kg), but only the bottom row ever touches the floor: its edge vertices carry half that\n", "(1.98 kg), and its two corners differ, 0.66 kg on the left (one triangle) vs 1.32 kg on the\n", "right (two)." ] }, { "cell_type": "code", "execution_count": 3, "id": "076d46ac", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:30.769597Z", "iopub.status.busy": "2026-09-24T03:44:30.769507Z", "iopub.status.idle": "2026-09-24T03:44:30.955299Z", "shell.execute_reply": "2026-09-24T03:44:30.954986Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "triangle area from 1.984e-03 to 1.984e-03 m^2, total mass 250.0 kg, vertex mass from 0.66 to 3.97 kg\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "J = simkit.deformation_jacobian(X, T)\n", "vol = simkit.volume(X, T)\n", "mu_s, lam_s = simkit.ympr_to_lame(YM, PR)\n", "mu = np.full((len(T), 1), mu_s)\n", "lam = np.full((len(T), 1), lam_s)\n", "M_n = simkit.massmatrix(X, T, rho=RHO) # (n x n) lumped vertex mass\n", "M = sp.sparse.kron(M_n, sp.sparse.eye(dim)).tocsc() # (n*dim x n*dim)\n", "f_g = simkit.gravity_force(X, T, a=GRAVITY, rho=RHO).reshape(-1, 1)\n", "print(f\"triangle area from {vol.min():.3e} to {vol.max():.3e} m^2, total mass {M_n.diagonal().sum():.1f} kg, \"\n", " f\"vertex mass from {M_n.diagonal().min():.2f} to {M_n.diagonal().max():.2f} kg\")\n", "\n", "fig, (axL, axR) = plt.subplots(1, 2, figsize=(9, 4))\n", "utils.plot_scalar_field(axL, X, T, 1e3 * vol, title=\"triangle area\", vmin=0.0,\n", " cmap=\"viridis\", label=r\"$10^{-3}$ m$^2$\")\n", "utils.plot_scalar_field(axR, X, T, M_n.diagonal(), title=\"lumped vertex mass $m_i$\",\n", " cmap=\"viridis\", label=\"kg\")\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"vertex_mass.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"009_vertex_mass.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9a88e22c", "metadata": {}, "source": [ "## The drop system\n", "\n", "`drop_system(x_curr, x_prev)` is the objective of one Backward-Euler step, one simkit term per\n", "line: elastic, gravity ($-f_g^\\top x$, linear, so no Hessian term), the floor penalty, and\n", "inertia. `kinetic_energy_be` rebuilds the momentum prediction $\\tilde{x} = x_n + h\\,v_n$ with\n", "$v_n = (x_n - x_{n-1})/h$ from the two latest states." ] }, { "cell_type": "code", "execution_count": 4, "id": "791ed2cf", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:30.956407Z", "iopub.status.busy": "2026-09-24T03:44:30.956322Z", "iopub.status.idle": "2026-09-24T03:44:30.959839Z", "shell.execute_reply": "2026-09-24T03:44:30.959455Z" } }, "outputs": [], "source": [ "def drop_system(x_curr, x_prev):\n", " \"\"\"Elastic + gravity + floor contact + Backward-Euler inertia, in stacked positions x.\"\"\"\n", "\n", " def energy_func(x):\n", " E_elastic = simkit.energies.elastic_energy_x(x.reshape(n, dim), J, mu, lam, vol, MATERIAL)\n", " E_gravity = -(f_g.T @ x).item()\n", " E_floor = simkit.energies.contact_springs_plane_energy(x.reshape(n, dim), K_CONTACT, FLOOR_POINT, FLOOR_NORMAL, M=M_n)\n", " E_inertia = simkit.energies.kinetic_energy_be(x, x_curr, x_prev, M, DT)\n", " E_total = E_elastic + E_gravity + E_floor + E_inertia\n", " return E_total\n", "\n", " def gradient_func(x):\n", " g_elastic = simkit.energies.elastic_gradient_x(x.reshape(n, dim), J, mu, lam, vol, MATERIAL)\n", " g_gravity = -f_g\n", " g_floor = simkit.energies.contact_springs_plane_gradient(x.reshape(n, dim), K_CONTACT, FLOOR_POINT, FLOOR_NORMAL, M=M_n)\n", " g_inertia = simkit.energies.kinetic_gradient_be(x, x_curr, x_prev, M, DT)\n", " g_total = g_elastic + g_gravity + g_floor + g_inertia\n", " return g_total\n", "\n", " def hessian_func(x):\n", " H_elastic = simkit.energies.elastic_hessian_x(x.reshape(n, dim), J, mu, lam, vol, MATERIAL, psd=True)\n", " H_floor = simkit.energies.contact_springs_plane_hessian(x.reshape(n, dim), K_CONTACT, FLOOR_POINT, FLOOR_NORMAL, M=M_n)\n", " H_inertia = simkit.energies.kinetic_hessian_be(M, DT)\n", " H_total = H_elastic + H_floor + H_inertia\n", " return H_total\n", "\n", " return energy_func, gradient_func, hessian_func" ] }, { "cell_type": "markdown", "id": "966313ab", "metadata": {}, "source": [ "A central-difference check of `gradient_func` before simulating: we lower the block until its\n", "bottom row is `FD_DEPTH` inside the floor and jitter every vertex, so all four terms, contact\n", "included, are active. The relative error is at round-off level, so the gradient is right." ] }, { "cell_type": "code", "execution_count": 5, "id": "9845d03c", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:30.960735Z", "iopub.status.busy": "2026-09-24T03:44:30.960666Z", "iopub.status.idle": "2026-09-24T03:44:31.003362Z", "shell.execute_reply": "2026-09-24T03:44:31.002853Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "relative gradient error |g_fd - g| / |g| = 4.41e-11\n" ] } ], "source": [ "rng = np.random.default_rng(SEED)\n", "U_test = X + np.array([0.0, FLOOR_POINT[1] - FD_DEPTH - X[:, 1].min()]) # bottom row below the floor\n", "x_test = (U_test + FD_NOISE * rng.standard_normal(X.shape)).reshape(-1, 1)\n", "energy_func, gradient_func, hessian_func = drop_system(U_test.reshape(-1, 1), U_test.reshape(-1, 1))\n", "g_analytic = gradient_func(x_test).ravel()\n", "g_fd = simkit.gradient_cfd(lambda y: np.array(energy_func(y.reshape(-1, 1))), x_test.ravel(), FD_STEP)\n", "print(f\"relative gradient error |g_fd - g| / |g| = {np.linalg.norm(g_fd - g_analytic) / np.linalg.norm(g_analytic):.2e}\")" ] }, { "cell_type": "markdown", "id": "c7912fc1", "metadata": {}, "source": [ "## Run the drop\n", "\n", "The block starts at rest (`x_prev = x_curr`). Every step rebuilds the system around the two\n", "latest states and Newton-solves it. We record the elastic, kinetic $\\tfrac12 v^\\top M v$,\n", "contact and gravitational energies, plus two residuals: the deepest floor penetration and the\n", "gradient norm Newton leaves behind (and how many iterations it took)." ] }, { "cell_type": "code", "execution_count": 6, "id": "3a7789f3", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:31.004629Z", "iopub.status.busy": "2026-09-24T03:44:31.004559Z", "iopub.status.idle": "2026-09-24T03:44:31.443423Z", "shell.execute_reply": "2026-09-24T03:44:31.443012Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "impact near t = 0.55s, peak kinetic 3236 J, peak elastic 1391 J, peak contact 300 J\n", "mechanical energy dissipated by t = 1.30s: 3256 J of the 3312 J released by the fall\n" ] } ], "source": [ "x0 = X.reshape(-1, 1)\n", "x_curr = x0.copy()\n", "x_prev = x0.copy()\n", "states, t_axis = [X.copy()], [0.0]\n", "E_el, E_kin, E_con, E_grav = [0.0], [0.0], [0.0], [0.0]\n", "penetration, grad_norm, newton_iters = [0.0], [], []\n", "for step in range(N_STEPS):\n", " energy_func, gradient_func, hessian_func = drop_system(x_curr, x_prev)\n", " x_next, info = simkit.solvers.newton_solver(x_curr, energy_func, gradient_func, hessian_func,\n", " max_iter=NEWTON_ITERS, do_line_search=True, return_info=True)\n", " U_next = x_next.reshape(n, dim)\n", " v = simkit.energies.velocity_be(x_next, x_curr, DT)\n", " E_el.append(simkit.energies.elastic_energy_x(U_next, J, mu, lam, vol, MATERIAL))\n", " E_kin.append(0.5 * (v.T @ M @ v).item())\n", " E_con.append(simkit.energies.contact_springs_plane_energy(U_next, K_CONTACT, FLOOR_POINT, FLOOR_NORMAL, M=M_n))\n", " E_grav.append(-(f_g.T @ (x_next - x0)).item()) # relative to the start\n", " penetration.append(max(0.0, -((U_next - FLOOR_POINT) @ FLOOR_NORMAL).min()))\n", " grad_norm.append(np.linalg.norm(gradient_func(x_next)))\n", " newton_iters.append(info[\"iters\"] + 1)\n", " states.append(U_next.copy())\n", " t_axis.append((step + 1) * DT)\n", " x_prev, x_curr = x_curr, x_next\n", "\n", "t_axis = np.array(t_axis)\n", "series = {\"elastic\": np.array(E_el), \"kinetic\": np.array(E_kin), \"contact\": np.array(E_con)}\n", "E_mech = series[\"elastic\"] + series[\"kinetic\"] + series[\"contact\"] + np.array(E_grav)\n", "i_impact = int(np.argmax(E_con))\n", "print(f\"impact near t = {t_axis[i_impact]:.2f}s, peak kinetic {series['kinetic'].max():.0f} J, \"\n", " f\"peak elastic {series['elastic'].max():.0f} J, peak contact {series['contact'].max():.0f} J\")\n", "print(f\"mechanical energy dissipated by t = {t_axis[-1]:.2f}s: {-E_mech[-1]:.0f} J \"\n", " f\"of the {-E_grav[-1]:.0f} J released by the fall\")" ] }, { "cell_type": "markdown", "id": "e7587a60", "metadata": {}, "source": [ "Left: kinetic energy grows quadratically in free fall, and impact (contact peaks at 0.55 s) turns it into\n", "elastic and contact energy within a few steps before the rebound. Right: the total mechanical\n", "energy (kinetic + elastic + contact + gravitational), which an exact integrator would keep at\n", "zero. It drifts slowly in free fall ($\\tfrac12 m h^2 g^2 \\approx 1.2$ J per step) and plunges at\n", "each impact, where Backward Euler damps the stiff contact response: the first impact removes\n", "about 2700 of the 3300 J the fall released. By t = 1.3 s, 3256 of the 3312 J released is gone\n", "(printed above), leaving only about 56 J of motion and deformation." ] }, { "cell_type": "code", "execution_count": 7, "id": "d934775b", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:31.444799Z", "iopub.status.busy": "2026-09-24T03:44:31.444701Z", "iopub.status.idle": "2026-09-24T03:44:31.558693Z", "shell.execute_reply": "2026-09-24T03:44:31.558220Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (axL, axR) = plt.subplots(1, 2, figsize=(12, 4.2))\n", "utils.line_plot(t_axis, series, xlabel=\"time (s)\", ylabel=\"energy (J)\",\n", " colors=utils.ENERGY_COLORS, title=\"Energy exchange during the drop\", ax=axL)\n", "utils.line_plot(t_axis, {\"total\": E_mech}, xlabel=\"time (s)\", ylabel=\"energy (J)\",\n", " colors=utils.ENERGY_COLORS, title=\"Total mechanical energy\", ax=axR)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"energy.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"009_energy.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9e103397", "metadata": {}, "source": [ "Two residuals over time. Penalty contact lets vertices sink into the floor while it pushes\n", "back, up to 20 mm at the first impact (left). The gradient Newton leaves behind, relative to\n", "the norm of the nodal gravity forces $\\lVert f_g\\rVert$, is below $10^{-12}$ in free fall and\n", "jumps to about $3\\cdot10^{-4}$ at impact, where Newton uses all `NEWTON_ITERS` iterations\n", "(right, and printed). It stays below $10^{-3}$ throughout, so every step is solved accurately\n", "enough." ] }, { "cell_type": "code", "execution_count": 8, "id": "0ac5373c", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:31.560133Z", "iopub.status.busy": "2026-09-24T03:44:31.560044Z", "iopub.status.idle": "2026-09-24T03:44:31.734738Z", "shell.execute_reply": "2026-09-24T03:44:31.734187Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "steps that used all 8 Newton iterations: t = [0.53 0.54 0.55 0.56] s\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "capped = t_axis[1:][np.array(newton_iters) >= NEWTON_ITERS]\n", "print(f\"steps that used all {NEWTON_ITERS} Newton iterations: t = {np.round(capped, 2)} s\")\n", "\n", "fig, (axL, axR) = plt.subplots(1, 2, figsize=(12, 3.8))\n", "utils.line_plot(t_axis, {\"contact\": 1e3 * np.array(penetration)}, xlabel=\"time (s)\", ylabel=\"penetration (mm)\",\n", " colors=utils.ENERGY_COLORS, title=\"deepest vertex below the floor\", ax=axL)\n", "utils.residual_plot({\"gradient\": np.array(grad_norm) / np.linalg.norm(f_g)}, t_axis[1:], ax=axR,\n", " colors={\"gradient\": \"k\"}, xlabel=\"time (s)\", ylabel=r\"$\\|\\nabla E(x_{n+1})\\| \\,/\\, \\|f_g\\|$\",\n", " title=\"relative gradient norm after Newton\")\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"residuals.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"009_residuals.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "64d1590c", "metadata": {}, "source": [ "## At peak impact\n", "\n", "The frame with the largest contact energy, colored by the per-triangle elastic energy density\n", "$\\psi(F)$ (left) and each vertex's penetration depth (right). The bottom rows, squeezed between\n", "the falling block and the floor, store most of the elastic energy and bulge sideways, and the\n", "whole bottom row sits inside the floor." ] }, { "cell_type": "code", "execution_count": 9, "id": "817e7b28", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:31.735767Z", "iopub.status.busy": "2026-09-24T03:44:31.735681Z", "iopub.status.idle": "2026-09-24T03:44:31.883371Z", "shell.execute_reply": "2026-09-24T03:44:31.882955Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U_impact = states[i_impact]\n", "F_impact = simkit.deformation_gradient(X, T, U_impact)\n", "psi_impact = simkit.energies.elastic_energy_element_F(F_impact, mu, lam, MATERIAL)\n", "depth_impact = np.maximum(0.0, -((U_impact - FLOOR_POINT) @ FLOOR_NORMAL))\n", "\n", "fig, (axL, axR) = plt.subplots(1, 2, figsize=(11, 4.2))\n", "utils.plot_scalar_field(axL, U_impact, T, psi_impact, title=f\"elastic energy density, t = {t_axis[i_impact]:.2f}s\",\n", " cmap=\"magma\", label=r\"$\\psi$ (J / m$^2$)\")\n", "utils.plot_scalar_field(axR, U_impact, T, 1e3 * depth_impact, title=\"penetration depth\",\n", " cmap=\"Reds\", label=\"mm\")\n", "for ax in (axL, axR):\n", " ax.axhline(FLOOR_POINT[1], color=\"0.3\", lw=1.5)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"impact_fields.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"009_impact_fields.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9beb97d6", "metadata": {}, "source": [ "The whole drop, with the energy curves traced in lock-step: a hard first bounce, a much\n", "smaller second one, and the block settling slightly tilted." ] }, { "cell_type": "code", "execution_count": 10, "id": "565f25fa", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:31.884563Z", "iopub.status.busy": "2026-09-24T03:44:31.884474Z", "iopub.status.idle": "2026-09-24T03:44:36.196903Z", "shell.execute_reply": "2026-09-24T03:44:36.196117Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, anim = utils.animate_dynamics(states, T, t_axis, series, lims=VIEW_LIMS,\n", " xlabel=\"time (s)\", ylabel=\"energy (J)\", colors=utils.ENERGY_COLORS, floor_y=FLOOR_POINT[1],\n", " scene_title=\"elastic block dropping on the floor\",\n", " title=\"elastic / kinetic / contact energy\", fps=FPS)\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"contact_plane.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"009_contact_plane.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "601933ea", "metadata": {}, "source": [ "### Takeaways\n", "* Gravity → **kinetic** on the way down; impact → **elastic** + **contact**; the rebound reverses it.\n", "* The **contact** penalty spikes exactly at impact, and lets vertices sink up to 20 mm into the floor.\n", "* Backward Euler damps the stiff impact, so each bounce loses most of the energy and the block\n", " never bounces back to full height." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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 }