{ "cells": [ { "cell_type": "markdown", "id": "2819c073", "metadata": {}, "source": [ "# 18 · Rotation–Strain Coordinates: Rescuing a Linear Mode\n", "\n", "A **linear mode** is the cheapest way to make a shape move: precompute a\n", "displacement field $\\phi$ once, then actuate it as $x(a)=X+a\\,\\phi$. One scalar\n", "$a$ drives the whole deformation. It is *linear* in $a$ — and that is\n", "exactly the problem.\n", "\n", "Real deformation **rotates**. When a cantilever bends, its tip swings along an\n", "**arc**; each little element *turns*. But a linear mode can only translate every\n", "vertex along a fixed straight line $\\phi_i$. For small $a$ a straight line is a\n", "fine approximation to the arc. For large $a$ it is not: the tip shoots off\n", "*tangent* to the arc instead of following it, the beam **stretches**, elements\n", "**shear**, and — pushed far enough — **invert** (negative area, turned\n", "inside-out). These are **linearization artifacts**: spurious *strain* that a true\n", "rotation would never produce.\n", "\n", "**Rotation–strain (RS) coordinates** fix this — not by deleting\n", "strain, but by *upgrading the rotation*. Split each element's displacement\n", "gradient $\\nabla u$ into its two additive parts: an **antisymmetric** piece (the\n", "*rotation generator* — how much the element is turning) and a **symmetric**\n", "piece (the genuine *strain* — how much it is actually stretching). A linear\n", "mode reads the turn back only to first order, $F=I+\\nabla u$, and $I+(\\text{a\n", "small rotation})$ is a lousy rotation: it inflates area. RS coordinates instead\n", "**exponentiate** the rotation generator into a *true finite rotation* $R$\n", "(Rodrigues' formula), reapply it to the genuine stretch $S=I+\\mathrm{sym}(\\nabla\n", "u)$, set the per-element target to $R\\,S-I$, and refit a single displacement\n", "field whose Jacobian reproduces it. The spurious *area inflation from the\n", "linearized turn* disappears; the *real* stretch is kept **exactly**.\n", "\n", "We will (1) pin a beam and pull out its first three linear modes — two\n", "bending modes that are mostly **rotation**, and one longitudinal mode that is\n", "genuine **stretch**; (2) actuate a bending mode sinusoidally with a\n", "swelling-then-shrinking amplitude and watch the shearing / inflation / inversion\n", "artifacts grow; (3) reinterpret that same actuated field through\n", "`rotation_strain_coordinates` and watch the spurious inflation vanish while the\n", "bend follows a true arc; and (4) chart area distortion vs. amplitude across all\n", "three modes to show the punchline — RS **erases** the rotation artifact\n", "(modes 1–2) but **faithfully preserves** genuine strain (mode 3). It fixes\n", "what's fake and keeps what's real." ] }, { "cell_type": "code", "execution_count": 1, "id": "4310897f", "metadata": { "execution": { "iopub.execute_input": "2026-06-10T20:10:01.409095Z", "iopub.status.busy": "2026-06-10T20:10:01.408902Z", "iopub.status.idle": "2026-06-10T20:10:01.928060Z", "shell.execute_reply": "2026-06-10T20:10:01.927784Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.animation import FuncAnimation\n", "from matplotlib.collections import PolyCollection\n", "from matplotlib.colors import TwoSlopeNorm\n", "\n", "import simkit\n", "import utils\n", "\n", "LIN_C = \"#d62728\" # linear mode (raw) -- has artifacts\n", "RS_C = \"#2ca02c\" # rotation-strain corrected\n", "REST_C = \"#bdbdbd\" # ghost of the rest beam\n", "PIN_C = \"#3182bd\" # pinned wall\n", "\n", "\n", "def signed_areas(V, T):\n", " \"\"\"Per-triangle signed area; negative means the element has flipped.\"\"\"\n", " return 0.5 * ((V[T[:, 1], 0] - V[T[:, 0], 0]) * (V[T[:, 2], 1] - V[T[:, 0], 1])\n", " - (V[T[:, 1], 1] - V[T[:, 0], 1]) * (V[T[:, 2], 0] - V[T[:, 0], 0]))\n", "\n", "\n", "class AreaMeshArtist:\n", " \"\"\"A triangle mesh colored per-element by area ratio (deformed / rest).\n", "\n", " Red = inflated, white = volume-preserving (ratio 1, what a rigid rotation\n", " gives), blue = compressed/inverted. ``update`` moves it to a new state.\"\"\"\n", "\n", " def __init__(self, ax, U, T, ratio, vmax=2.0):\n", " self.T = np.asarray(T)\n", " self.norm = TwoSlopeNorm(vmin=0.0, vcenter=1.0, vmax=vmax)\n", " self.coll = PolyCollection([U[f] for f in self.T], array=np.asarray(ratio),\n", " cmap=\"RdBu_r\", norm=self.norm,\n", " edgecolors=\"0.25\", linewidths=0.3, zorder=2)\n", " ax.add_collection(self.coll)\n", "\n", " def update(self, U, ratio):\n", " self.coll.set_verts([U[f] for f in self.T])\n", " self.coll.set_array(np.asarray(ratio))" ] }, { "cell_type": "markdown", "id": "98a23b67", "metadata": {}, "source": [ "## A cantilever beam, pinned on the left\n", "\n", "A right-triangulated rectangular beam, clamped along its left edge. Pinning is\n", "what makes the modes *interesting*: the free end is what swings through a large\n", "angle, so it is where the linear approximation breaks first." ] }, { "cell_type": "code", "execution_count": 2, "id": "dd960606", "metadata": { "execution": { "iopub.execute_input": "2026-06-10T20:10:01.929289Z", "iopub.status.busy": "2026-06-10T20:10:01.929207Z", "iopub.status.idle": "2026-06-10T20:10:01.931214Z", "shell.execute_reply": "2026-06-10T20:10:01.931001Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beam: 336 vertices, 564 triangles, 672 DOFs\n", "pinned (left wall): 7 vertices\n" ] } ], "source": [ "nx, ny = 48, 7\n", "X, T = utils.triangulated_grid(nx, ny, width=4.0, height=0.6)\n", "n, dim = X.shape\n", "pin = np.where(X[:, 0] <= X[:, 0].min() + 1e-6)[0] # clamp the whole left edge\n", "print(f\"beam: {n} vertices, {T.shape[0]} triangles, {n*dim} DOFs\")\n", "print(f\"pinned (left wall): {pin.size} vertices\")" ] }, { "cell_type": "markdown", "id": "d87ec891", "metadata": {}, "source": [ "## The first three linear modes\n", "\n", "`simkit.linear_modal_analysis` solves the generalized eigenproblem\n", "$K\\,\\phi=\\lambda\\,M\\,\\phi$ for the ARAP stiffness $K$ and mass $M$, with the\n", "pinned DOFs eliminated, and returns the lowest modes sorted by eigenvalue\n", "$\\lambda$ (squared frequency). The **first** mode is the softest — the\n", "fundamental bend; the **second** is the next bend (an S-shape with one interior\n", "node); the **third** here is a longitudinal *stretch* mode.\n", "\n", "They are all fixed displacement fields, but they differ in *what their Jacobian\n", "encodes*. The two bending modes are dominated by the **antisymmetric** (rotation)\n", "part of $\\nabla u$ — each element mostly *turns* — while the stretch\n", "mode is dominated by the **symmetric** (strain) part — each element mostly\n", "*stretches*. That distinction is exactly what RS coordinates key off: it fixes\n", "the rotation-dominated modes and leaves the stretch one alone.\n", "\n", "Each $\\phi$ comes out mass-normalized, so we rescale every mode to unit peak\n", "displacement — then an actuation amplitude $a$ reads directly as the\n", "distance, in world units, that the most-displaced vertex moves." ] }, { "cell_type": "code", "execution_count": 3, "id": "68a44700", "metadata": { "execution": { "iopub.execute_input": "2026-06-10T20:10:01.932286Z", "iopub.status.busy": "2026-06-10T20:10:01.932235Z", "iopub.status.idle": "2026-06-10T20:10:02.083666Z", "shell.execute_reply": "2026-06-10T20:10:02.083462Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eigenvalues (squared frequency): [0.0041 0.132 0.4134]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = 3\n", "E, B = simkit.linear_modal_analysis(X, T, k, bI=pin)\n", "modes = [B[:, i].reshape(n, dim) for i in range(k)]\n", "modes = [m / np.abs(m).max() for m in modes] # unit peak displacement\n", "print(\"eigenvalues (squared frequency):\", np.round(E[:k], 4))\n", "\n", "fig, axes = plt.subplots(1, k, figsize=(13, 2.6))\n", "amp_show = 1.0\n", "for i, (ax, m) in enumerate(zip(axes, modes)):\n", " utils.setup_axes(ax, (-2.4, 2.4), (-1.6, 1.6),\n", " title=f\"mode {i+1} ($\\\\lambda$={E[i]:.3f})\", grid=False)\n", " ax.add_collection(PolyCollection([X[f] for f in T], facecolors=\"none\",\n", " edgecolors=REST_C, linewidths=0.6, zorder=1))\n", " Um = X + amp_show * m\n", " ax.add_collection(PolyCollection([Um[f] for f in T], facecolors=\"#a1d99b\",\n", " edgecolors=\"#00441b\", linewidths=0.5,\n", " alpha=0.9, zorder=2))\n", " ax.scatter(X[pin, 0], X[pin, 1], s=22, color=PIN_C, marker=\"s\", zorder=4)\n", "fig.suptitle(\"first three linear (vibration) modes of the pinned beam \"\n", " \"(gray = rest, green = displaced)\")\n", "fig.tight_layout(); fig.savefig(\"media/18_modes.png\", dpi=130, bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6ea1bfba", "metadata": {}, "source": [ "## Actuate the first mode — sinusoidally, swelling then fading\n", "\n", "We drive the fundamental bending mode with\n", "\n", "$$\n", "a(t) \\;=\\; A_{\\max}\\,\\sin\\!\\big(2\\pi t\\big),\\qquad t\\in[0,1],\n", "$$\n", "\n", "one full sine period: the tip swings **up** to $+A_{\\max}$, back through rest,\n", "**down** to $-A_{\\max}$, and home again — the actuation magnitude rising,\n", "then falling, then rising, then falling. We push $A_{\\max}$ deliberately large so\n", "the artifact is unmistakable.\n", "\n", "Each frame is colored by **area ratio** (deformed element area / rest area). A\n", "*rigid rotation preserves area*, so a faithful bend should stay **white**\n", "(ratio 1) everywhere. Watch instead: as the tip swings out, the elements near\n", "it flush **red** — the straight-line mode *stretches* the beam because the\n", "tip leaves along the tangent instead of riding the arc. The trace on the right\n", "tracks the worst element; it spikes at every swing and only returns to 1 as the\n", "beam passes back through rest." ] }, { "cell_type": "code", "execution_count": 4, "id": "aa5cc5a6", "metadata": { "execution": { "iopub.execute_input": "2026-06-10T20:10:02.084613Z", "iopub.status.busy": "2026-06-10T20:10:02.084554Z", "iopub.status.idle": "2026-06-10T20:10:04.525137Z", "shell.execute_reply": "2026-06-10T20:10:04.524873Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "raw linear mode at A_max=3.0: peak area ratio 2.03x min element area ratio +0.82 (negative => inverted elements)\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A_max = 3.0\n", "mode = modes[0]\n", "n_frames = 61\n", "tt = np.linspace(0.0, 1.0, n_frames)\n", "a_t = A_max * np.sin(2.0 * np.pi * tt) # one full sine period\n", "A0 = signed_areas(X, T)\n", "\n", "states_lin, ratio_lin, peak_lin = [], [], []\n", "for a in a_t:\n", " U = X + a * mode\n", " r = signed_areas(U, T) / A0\n", " states_lin.append(U)\n", " ratio_lin.append(r)\n", " peak_lin.append(r.max())\n", "peak_lin = np.array(peak_lin)\n", "print(f\"raw linear mode at A_max={A_max}: peak area ratio {peak_lin.max():.2f}x\"\n", " f\" min element area ratio {min(r.min() for r in ratio_lin):+.2f}\"\n", " f\" (negative => inverted elements)\")\n", "\n", "fig, (axL, axR) = plt.subplots(1, 2, figsize=(13, 4.4),\n", " gridspec_kw={\"width_ratios\": [1.35, 1]})\n", "utils.setup_axes(axL, (-2.4, 4.4), (-3.2, 3.2),\n", " title=\"linear actuation $x=X+a\\\\,\\\\phi$ (color = area ratio)\", grid=False)\n", "art = AreaMeshArtist(axL, states_lin[0], T, ratio_lin[0], vmax=2.0)\n", "axL.scatter(X[pin, 0], X[pin, 1], s=26, color=PIN_C, marker=\"s\", zorder=4)\n", "fig.colorbar(art.coll, ax=axL, fraction=0.046, pad=0.02,\n", " label=\"area ratio (1 = rigid)\")\n", "trace = utils.TracePlot(axR, tt, {\"raw linear mode\": peak_lin},\n", " colors={\"raw linear mode\": LIN_C},\n", " xlabel=\"actuation phase $t$\", ylabel=\"peak area ratio (max over elements)\",\n", " title=\"straight-line actuation inflates area\")\n", "axR.axhline(1.0, color=\"0.5\", ls=\"--\", lw=1.2, zorder=1)\n", "\n", "def update(i):\n", " art.update(states_lin[i], ratio_lin[i])\n", " trace.update(i)\n", " return ()\n", "\n", "anim = FuncAnimation(fig, update, frames=n_frames, interval=1000/20, blit=False)\n", "fig.tight_layout()\n", "update(int(np.argmax(peak_lin))) # freeze on a peak-swing frame for the saved still\n", "fig.savefig(\"media/18_linear_artifacts.png\", dpi=130, bbox_inches=\"tight\")\n", "utils.show_video(fig, anim, \"media/18_linear_artifacts.mp4\", fps=20)" ] }, { "cell_type": "markdown", "id": "e9259679", "metadata": {}, "source": [ "## Reinterpret the actuation in rotation–strain coordinates\n", "\n", "The red flush is **not** real strain — it is the *linearized rotation*\n", "faking it. A true rotation preserves area; the first-order stand-in $I+\\nabla u$\n", "does not. Here is how RS coordinates separate the fake from the real, element by\n", "element:\n", "\n", "1. From the linear field $u=a\\,\\phi$ form the deformation gradient\n", " $F=I+\\nabla u$ on every element (`deformation_jacobian` supplies $\\nabla u$),\n", " and split $\\nabla u$ into its two additive halves:\n", " $$\n", " \\nabla u \\;=\\; \\underbrace{\\mathrm{skew}(\\nabla u)}_{W\\ \\text{(rotation generator)}}\n", " \\;+\\; \\underbrace{\\mathrm{sym}(\\nabla u)}_{\\text{strain}}.\n", " $$\n", "2. **Upgrade the rotation.** $W$ is only an *infinitesimal* rotation — the\n", " axis–angle the linear field encodes. Exponentiate it into a genuine\n", " *finite* rotation $R=\\exp(W)$. In 2D, $W=\\big[\\begin{smallmatrix}0&-w\\\\ w&0\\end{smallmatrix}\\big]$\n", " and $R$ is rotation by the angle $w$; in 3D this is **Rodrigues' formula**.\n", " Unlike $I+W$, the matrix $R$ is a *true* rotation — $\\det R=1$, area\n", " preserved exactly.\n", "3. **Keep the real strain.** Form $S=I+\\mathrm{sym}(\\nabla u)$, set the\n", " per-element target $Y=R\\,S-I$ — *rotation exponentiated, strain\n", " untouched* — and solve one small least-squares fit for the displacement\n", " $u_{\\text{rs}}$ whose Jacobian best matches $Y$ everywhere (a pinned\n", " Poisson-type solve, prefactored once in `RSPrecompute`).\n", "\n", "So RS coordinates read the linear mode's *rotation content* and rebuild it as an\n", "**actual rotation**, while passing genuine stretch through unchanged.\n", "`simkit.rotation_strain_coordinates` returns that $u_{\\text{rs}}$ (and a reusable\n", "precompute). We run it on **every frame of the same actuation** and compare side\n", "by side. Because this bending mode is rotation-dominated, almost all of its\n", "distortion was the linearization artifact — so RS should knock it right\n", "down." ] }, { "cell_type": "code", "execution_count": 5, "id": "a598bc24", "metadata": { "execution": { "iopub.execute_input": "2026-06-10T20:10:04.526209Z", "iopub.status.busy": "2026-06-10T20:10:04.526139Z", "iopub.status.idle": "2026-06-10T20:10:08.115412Z", "shell.execute_reply": "2026-06-10T20:10:08.115134Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "raw linear : peak area ratio 2.03x\n", "RS-corrected: peak area ratio 1.18x (linearized-rotation inflation removed; small genuine bending strain remains)\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "states_rs, ratio_rs, peak_rs = [], [], []\n", "pre = None # RSPrecompute: build once, reuse\n", "for a in a_t:\n", " u = (a * mode).reshape(-1)\n", " u_rs, pre = simkit.rotation_strain_coordinates(X, T, u, pinned=pin, pre=pre)\n", " U = X + u_rs\n", " r = signed_areas(U, T) / A0\n", " states_rs.append(U)\n", " ratio_rs.append(r)\n", " peak_rs.append(r.max())\n", "peak_rs = np.array(peak_rs)\n", "print(f\"raw linear : peak area ratio {peak_lin.max():.2f}x\")\n", "print(f\"RS-corrected: peak area ratio {peak_rs.max():.2f}x \"\n", " f\"(linearized-rotation inflation removed; small genuine bending strain remains)\")\n", "\n", "fig, (axA, axB, axR) = plt.subplots(1, 3, figsize=(15, 4.4),\n", " gridspec_kw={\"width_ratios\": [1, 1, 1.05]})\n", "utils.setup_axes(axA, (-2.4, 4.4), (-3.2, 3.2), title=\"raw linear mode\", grid=False)\n", "utils.setup_axes(axB, (-2.4, 4.4), (-3.2, 3.2), title=\"rotation-strain coordinates\", grid=False)\n", "aA = AreaMeshArtist(axA, states_lin[0], T, ratio_lin[0], vmax=2.0)\n", "aB = AreaMeshArtist(axB, states_rs[0], T, ratio_rs[0], vmax=2.0)\n", "for ax in (axA, axB):\n", " ax.scatter(X[pin, 0], X[pin, 1], s=26, color=PIN_C, marker=\"s\", zorder=4)\n", "fig.colorbar(aB.coll, ax=axB, fraction=0.046, pad=0.02, label=\"area ratio (1 = rigid)\")\n", "trace = utils.TracePlot(axR, tt, {\"raw linear\": peak_lin, \"RS-corrected\": peak_rs},\n", " colors={\"raw linear\": LIN_C, \"RS-corrected\": RS_C},\n", " xlabel=\"actuation phase $t$\", ylabel=\"peak area ratio\",\n", " title=\"RS removes the spurious area inflation\")\n", "axR.axhline(1.0, color=\"0.5\", ls=\"--\", lw=1.2, zorder=1)\n", "\n", "def update(i):\n", " aA.update(states_lin[i], ratio_lin[i])\n", " aB.update(states_rs[i], ratio_rs[i])\n", " trace.update(i)\n", " return ()\n", "\n", "anim = FuncAnimation(fig, update, frames=n_frames, interval=1000/20, blit=False)\n", "fig.tight_layout()\n", "update(int(np.argmax(peak_lin))) # freeze on a peak-swing frame for the saved still\n", "fig.savefig(\"media/18_rs_vs_linear.png\", dpi=130, bbox_inches=\"tight\")\n", "utils.show_video(fig, anim, \"media/18_rs_vs_linear.mp4\", fps=20)" ] }, { "cell_type": "markdown", "id": "5cdd73e5", "metadata": {}, "source": [ "## How bad does it get? Distortion vs. amplitude\n", "\n", "The animation is one amplitude sweep of one mode; this is the whole story in one\n", "chart. For a range of actuation amplitudes $a$ we measure the **worst element\n", "area distortion** $\\max_e |r_e - 1|$ for each of the three modes, raw vs.\n", "RS-corrected.\n", "\n", "The two **bending** modes (1, 2) are rotation-dominated. Their raw distortion\n", "climbs without bound — roughly *linearly* with $a$, fastest for the higher\n", "mode (more curvature, more rotation packed into each element, even flipping them)\n", "— but that distortion is **fake**, a linearization-of-rotation artifact, and\n", "RS collapses it toward flat by exponentiating the turn.\n", "\n", "The **stretch** mode (3) is the control. Its distortion is **genuine** strain,\n", "not a rotation artifact, so there is nothing for RS to remove: the RS curve\n", "**tracks the raw curve almost exactly**. That is the whole point of doing this\n", "correctly — RS erases spurious rotation-stretch and *preserves* real\n", "stretch, rather than bulldozing both to zero. (The old \"rotation-only\" variant\n", "would have wrongly flattened mode 3 too.)" ] }, { "cell_type": "code", "execution_count": 6, "id": "66f437f5", "metadata": { "execution": { "iopub.execute_input": "2026-06-10T20:10:08.116647Z", "iopub.status.busy": "2026-06-10T20:10:08.116570Z", "iopub.status.idle": "2026-06-10T20:10:08.205926Z", "shell.execute_reply": "2026-06-10T20:10:08.205726Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amps = np.linspace(0.0, 3.0, 16)\n", "fig, ax = plt.subplots(figsize=(8.8, 5.0))\n", "pres = [None, None, None]\n", "for i, m in enumerate(modes):\n", " d_lin, d_rs = [], []\n", " for a in amps:\n", " U = X + a * m\n", " d_lin.append(np.abs(signed_areas(U, T) / A0 - 1.0).max())\n", " u_rs, pres[i] = simkit.rotation_strain_coordinates(\n", " X, T, (a * m).reshape(-1), pinned=pin, pre=pres[i])\n", " d_rs.append(np.abs(signed_areas(X + u_rs, T) / A0 - 1.0).max())\n", " ax.plot(amps, d_lin, \"-o\", color=LIN_C, lw=2, ms=4, alpha=0.55 + 0.15*i,\n", " label=\"raw linear\" if i == 0 else None)\n", " ax.plot(amps, d_rs, \"-o\", color=RS_C, lw=2, ms=4, alpha=0.55 + 0.15*i,\n", " label=\"RS-corrected\" if i == 0 else None)\n", " kind = \"stretch\" if i == 2 else \"bend\"\n", " # mode 1's raw endpoint sits just under mode 3's, so drop its label below the\n", " # point (va=\"top\") to keep the two from colliding at the right edge.\n", " ax.annotate(f\"mode {i+1} ({kind})\", (amps[-1], d_lin[-1]), color=LIN_C,\n", " fontsize=9, ha=\"right\", va=\"top\" if i == 0 else \"bottom\")\n", "# Mode 3 is genuine stretch: RS preserves it, so its green (RS) curve lands right\n", "# on top of the red (raw) one -- nothing to remove, unlike the bending modes.\n", "ax.annotate(\"mode 3: RS tracks raw\\n(real stretch -- nothing to fix)\",\n", " xy=(amps[-1], d_rs[-1]), xytext=(1.0, 6.2), color=RS_C, fontsize=9,\n", " ha=\"left\", va=\"center\",\n", " arrowprops=dict(arrowstyle=\"->\", color=RS_C, lw=1.3))\n", "ax.set_xlabel(\"actuation amplitude $a$ (peak displacement, world units)\")\n", "ax.set_ylabel(\"worst element area distortion $\\\\max_e |r_e-1|$\")\n", "ax.set_title(\"RS erases the rotation artifact (modes 1-2), keeps genuine stretch (mode 3)\")\n", "ax.grid(True, color=\"0.9\"); ax.legend(loc=\"upper left\")\n", "fig.tight_layout(); fig.savefig(\"media/18_distortion_vs_amp.png\", dpi=130, bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5b6d0b25", "metadata": {}, "source": [ "### Takeaways\n", "\n", "* A **linear mode** $x=X+a\\,\\phi$ moves every vertex along a fixed straight line.\n", " Cheap and great for small $a$, but rotation is **nonlinear** in position, so at\n", " large $a$ the straight line departs the true arc: the shape **stretches,\n", " shears, and inverts**. These linearization artifacts show up directly as area\n", " ratios far from 1.\n", "* **Rotation–strain coordinates** split the linear field's Jacobian\n", " additively into an antisymmetric **rotation generator** $W=\\mathrm{skew}(\\nabla\n", " u)$ and a symmetric **strain** $\\mathrm{sym}(\\nabla u)$. They *exponentiate* the\n", " rotation generator into a true finite rotation $R=\\exp(W)$ — it had been\n", " read back only to first order, $I+W$, which inflates area — keep the\n", " genuine stretch $S=I+\\mathrm{sym}(\\nabla u)$, and refit a displacement whose\n", " Jacobian is $R\\,S-I$. **The turn is upgraded; the stretch is preserved.**\n", "* The payoff cuts both ways. The same one-scalar actuation now bends the beam\n", " along a *true arc* with the spurious area inflation gone (modes 1–2) —\n", " *and* it does this **without erasing genuine deformation**: a real stretch mode\n", " keeps its stretch (mode 3's RS curve tracks the raw mode). RS removes only the\n", " fake rotation-stretch; it does not flatten real strain.\n", "* Use it whenever a cheap linear subspace has to undergo **large rotation**\n", " — actuated characters, cables, tentacles, modal animation — to get\n", " rotation-aware motion at linear-mode cost. It is the same lesson as the\n", " skinning-eigenmodes tutorial (17), reached from the other direction: there we\n", " *built* a rotation-capable basis; here we *repair* a rotation-blind one after\n", " the fact.\n", "\n", "---\n", "RS coordinates turn a rotation-blind linear mode into a rotation-aware one by\n", "**exponentiating the turn its Jacobian already encodes** — and keeping the\n", "genuine strain intact — the same neo-Hookean-era kinematics (tutorials\n", "1–3), now in service of cheap actuation." ] } ], "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": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }