{ "cells": [ { "cell_type": "markdown", "id": "000320d1", "metadata": {}, "source": [ "# 19 · Compressed Vibration Modes: trading global modes for *local* ones\n", "\n", "Classical **linear modal analysis (LMA)** describes how an elastic body likes to\n", "vibrate. It diagonalizes the elastic energy against inertia — the generalized\n", "eigenproblem\n", "\n", "$$\n", "H\\,u \\;=\\; \\omega^2\\, M\\,u ,\n", "$$\n", "\n", "with $H$ the (linear-elasticity) **stiffness** and $M$ the **mass** matrix. The\n", "eigenvectors $u$ are the *mode shapes*. They are wonderful, but they share one\n", "stubborn property: **every mode is global**. A low-frequency mode of a beam is a\n", "sine wave that runs the entire length — touch one end and the whole shape\n", "responds. That is exactly the wrong basis if you want to edit, actuate, or\n", "simulate a body *part by part*.\n", "\n", "**Compressed modes** fix this. Following *\"Compressed Vibration Modes of Elastic\n", "Bodies\"* ([Brandt & Hildebrandt,\n", "2017](https://www.sciencedirect.com/science/article/abs/pii/S0167839617300377)),\n", "we add an **$L_1$ penalty** to the modal energy. Each mode now solves\n", "\n", "$$\n", "\\min_{u}\\; \\tfrac12\\, u^\\top H\\, u \\;+\\; \\lambda\\,\\lVert u\\rVert_1\n", "\\qquad\\text{s.t.}\\quad u^\\top M\\,u = 1,\\;\\; u \\perp_M \\{\\text{earlier modes}\\}.\n", "$$\n", "\n", "The quadratic term still rewards smooth, low-energy shapes; the $\\lVert u\\rVert_1$\n", "term rewards shapes that are **exactly zero almost everywhere**. The single knob\n", "$\\lambda$ trades the two off. At $\\lambda = 0$ we recover ordinary LMA (global\n", "modes); as $\\lambda$ grows, each mode shrinks its support and becomes a\n", "**local**, **sparse** bump. `simkit.eigs_iccm` solves this problem — it\n", "iteratively recasts each mode as a convex QP (splitting $u = u_+ - u_-$ to\n", "linearize the $L_1$ term) and deflates against the modes already found.\n", "\n", "In this tutorial we:\n", "1. build a **free-standing** beam (pinned nowhere) and its $H$, $M$ operators,\n", "2. compute the standard LMA modes and watch them oscillate — **global**,\n", "3. crank $\\lambda$ up and watch the same modes **localize**,\n", "4. quantify the sparsity directly.\n", "\n", "All modes are shown by **actuating them sinusoidally**, $x(t) = X + a\\,\\sin(2\\pi\n", "t)\\,u$ — no simulation, just the mode shape breathing in and out." ] }, { "cell_type": "code", "execution_count": 1, "id": "783e5288", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:42:58.283586Z", "iopub.status.busy": "2026-06-09T05:42:58.283440Z", "iopub.status.idle": "2026-06-09T05:42:58.798896Z", "shell.execute_reply": "2026-06-09T05:42:58.798618Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import scipy.sparse as sps\n", "import matplotlib.pyplot as plt\n", "from IPython.display import display\n", "\n", "import simkit\n", "import utils\n", "from simkit.eigs_iccm import eigs_iccm\n", "from simkit.energies.linear_elasticity import linear_elasticity_hessian\n", "\n", "np.random.seed(0)" ] }, { "cell_type": "markdown", "id": "38f2c247", "metadata": {}, "source": [ "## A free-standing beam\n", "\n", "We mesh a long thin rectangle and **pin nothing** — the beam floats in\n", "space. Two matrices drive everything:\n", "\n", "* $H$, the **linear-elasticity stiffness** (the Hessian of small-strain elastic\n", " energy). It is constant and positive *semi*-definite. Because the beam is\n", " unconstrained, $H$ has a 3-dimensional null space: the two rigid translations\n", " and the in-plane rotation cost no energy.\n", "* $M$, the **mass** matrix (lumped per-vertex mass, expanded to $x$/$y$ DOFs).\n", "\n", "These are exactly the ingredients of both LMA and the compressed-mode problem." ] }, { "cell_type": "code", "execution_count": 2, "id": "2613b2cb", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:42:58.800081Z", "iopub.status.busy": "2026-06-09T05:42:58.799998Z", "iopub.status.idle": "2026-06-09T05:42:58.828769Z", "shell.execute_reply": "2026-06-09T05:42:58.828544Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beam: 240 vertices, 390 triangles, 480 DOFs\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, T = utils.triangulated_grid(40, 6, width=6.0, height=0.9)\n", "n, dim = X.shape\n", "\n", "mu = np.ones((T.shape[0], 1)) # unit material; only the *shapes* matter\n", "H = linear_elasticity_hessian(X=X, T=T, mu=mu, lam=mu).tocsc()\n", "M = sps.kron(simkit.massmatrix(X, T), sps.identity(dim)).tocsc()\n", "\n", "print(f\"beam: {n} vertices, {T.shape[0]} triangles, {n*dim} DOFs\")\n", "\n", "fig, ax = plt.subplots(figsize=(7, 1.6))\n", "utils.PolyMeshArtist(ax, X, T)\n", "utils.setup_axes(ax, *utils.auto_limits([X]), title=\"rest beam (free-standing)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3087d137", "metadata": {}, "source": [ "## A tiny helper: actuate a mode sinusoidally\n", "\n", "Every mode is a column $u \\in \\mathbb{R}^{n\\cdot\\text{dim}}$. To *see* it we\n", "reshape it to a per-vertex displacement and sweep an amplitude through a full\n", "sine period, $x(t) = X + a\\,\\sin(2\\pi t)\\,u$. We rescale each mode so its largest\n", "vertex displacement is the same on screen — otherwise mass-normalized modes\n", "would have wildly different visual amplitudes. `mode_panels` packages one beam\n", "per mode for `utils.animate_meshes_grid`, which plays them in sync." ] }, { "cell_type": "code", "execution_count": 3, "id": "f10737d5", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:42:58.829799Z", "iopub.status.busy": "2026-06-09T05:42:58.829747Z", "iopub.status.idle": "2026-06-09T05:42:58.831721Z", "shell.execute_reply": "2026-06-09T05:42:58.831536Z" } }, "outputs": [], "source": [ "def mode_disp(col):\n", " \"(n*dim,) modal column -> (n, dim) per-vertex displacement.\"\n", " return col.reshape(n, dim)\n", "\n", "def mode_panels(B, titles, n_frames=36, target=0.32):\n", " \"One animation panel per column of B: the beam actuated sinusoidally.\"\n", " phases = np.sin(2 * np.pi * np.arange(n_frames) / n_frames)\n", " panels = []\n", " for j in range(B.shape[1]):\n", " d = mode_disp(B[:, j])\n", " amp = target / (np.linalg.norm(d, axis=1).max() + 1e-12) # equal screen amplitude\n", " panels.append({\"states\": [X + (amp * p) * d for p in phases],\n", " \"T\": T, \"title\": titles[j]})\n", " return panels\n", "\n", "def active_fraction(B, thresh=0.05):\n", " \"Fraction of (vertex, mode) pairs that actually move (> 5% of that mode's peak).\"\n", " mag = np.linalg.norm(B.reshape(n, dim, B.shape[1]), axis=1)\n", " return (mag > thresh * mag.max(axis=0)).mean()\n", "\n", "mode_titles = [f\"mode {i+1}\" for i in range(5)]" ] }, { "cell_type": "markdown", "id": "322be069", "metadata": {}, "source": [ "## Standard linear modal analysis — global modes\n", "\n", "`simkit.linear_modal_analysis` solves the plain generalized eigenproblem $Hu =\n", "\\omega^2 M u$ for the lowest modes. The first three come back with eigenvalue\n", "$\\approx 0$: those are the **rigid-body** modes (translate-$x$, translate-$y$,\n", "rotate) that live in the null space of $H$. We drop them and keep the first five\n", "genuine **deformation** modes.\n", "\n", "Watch the animation: every mode is a standing wave that occupies the **whole\n", "beam**. Mode $k$ simply adds another half-wavelength. This is the global\n", "character we want to break." ] }, { "cell_type": "code", "execution_count": 4, "id": "15fb544d", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:42:58.832580Z", "iopub.status.busy": "2026-06-09T05:42:58.832529Z", "iopub.status.idle": "2026-06-09T05:43:00.492341Z", "shell.execute_reply": "2026-06-09T05:43:00.492026Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eigenvalues (omega^2): [-0. 0. 0. 0.0668 0.403 0.7292 1.2043 2.5513] <- first 3 are rigid-body modes\n", "active-vertex fraction: 1.00 (nearly 1.0 - fully global)\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E, Blma = simkit.linear_modal_analysis(X, T, k=8)\n", "print(\"eigenvalues (omega^2):\", np.round(E, 4), \" <- first 3 are rigid-body modes\")\n", "\n", "Blma = Blma[:, 3:8] # first 5 deformation modes\n", "fig, anim = utils.animate_meshes_grid(\n", " mode_panels(Blma, mode_titles), fps=18,\n", " suptitle=\"Linear modal analysis - every mode spans the whole beam\")\n", "print(f\"active-vertex fraction: {active_fraction(Blma):.2f} (nearly 1.0 - fully global)\")\n", "display(utils.show_video(fig, anim, \"media/19_lma_modes.mp4\", fps=18))" ] }, { "cell_type": "markdown", "id": "93f85bb3", "metadata": {}, "source": [ "## Turning on the sparsity knob $\\lambda$\n", "\n", "Now we solve the **compressed**-mode problem with `eigs_iccm`, sweeping $\\lambda$.\n", "Read the animations top to bottom:\n", "\n", "* **$\\lambda = 0.5$** — light pressure. Modes still ripple over much of the\n", " beam, but the ends start going quiet.\n", "* **$\\lambda = 2$** — each mode now lives in a *region* of the beam; the rest\n", " is frozen.\n", "* **$\\lambda = 8$** — strong pressure. Modes collapse to compact, **local**\n", " bumps; only a small patch breathes while the remainder is rigid.\n", "\n", "Same beam, same five modes — the only thing we changed is how much we charge\n", "for *spreading out*." ] }, { "cell_type": "code", "execution_count": 5, "id": "d239307d", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:00.493418Z", "iopub.status.busy": "2026-06-09T05:43:00.493361Z", "iopub.status.idle": "2026-06-09T05:43:03.805260Z", "shell.execute_reply": "2026-06-09T05:43:03.805038Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lambda = 0.5: active-vertex fraction 0.51\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "lambda = 2.0: active-vertex fraction 0.31\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "lambda = 8.0: active-vertex fraction 0.19\n" ] } ], "source": [ "lambdas = [0.5, 2.0, 8.0]\n", "Bs = {}\n", "for l in lambdas:\n", " np.random.seed(0) # deterministic random init per sweep\n", " Bs[l] = eigs_iccm(H, l=l, k=5, M=M, max_iters=25)\n", " print(f\"lambda = {l:>4}: active-vertex fraction {active_fraction(Bs[l]):.2f}\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "816499f9", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:03.806254Z", "iopub.status.busy": "2026-06-09T05:43:03.806188Z", "iopub.status.idle": "2026-06-09T05:43:05.387956Z", "shell.execute_reply": "2026-06-09T05:43:05.387694Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l = 0.5\n", "fig, anim = utils.animate_meshes_grid(\n", " mode_panels(Bs[l], mode_titles), fps=18,\n", " suptitle=f\"Compressed modes, lambda = {l} (active fraction {active_fraction(Bs[l]):.2f})\")\n", "display(utils.show_video(fig, anim, f\"media/19_iccm_l0.5.mp4\", fps=18))" ] }, { "cell_type": "code", "execution_count": 7, "id": "2ad89be8", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:05.388996Z", "iopub.status.busy": "2026-06-09T05:43:05.388909Z", "iopub.status.idle": "2026-06-09T05:43:06.969597Z", "shell.execute_reply": "2026-06-09T05:43:06.969335Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l = 2.0\n", "fig, anim = utils.animate_meshes_grid(\n", " mode_panels(Bs[l], mode_titles), fps=18,\n", " suptitle=f\"Compressed modes, lambda = {l} (active fraction {active_fraction(Bs[l]):.2f})\")\n", "display(utils.show_video(fig, anim, f\"media/19_iccm_l2.0.mp4\", fps=18))" ] }, { "cell_type": "code", "execution_count": 8, "id": "a8ecef78", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:06.970634Z", "iopub.status.busy": "2026-06-09T05:43:06.970554Z", "iopub.status.idle": "2026-06-09T05:43:08.528366Z", "shell.execute_reply": "2026-06-09T05:43:08.528045Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l = 8.0\n", "fig, anim = utils.animate_meshes_grid(\n", " mode_panels(Bs[l], mode_titles), fps=18,\n", " suptitle=f\"Compressed modes, lambda = {l} (active fraction {active_fraction(Bs[l]):.2f})\")\n", "display(utils.show_video(fig, anim, f\"media/19_iccm_l8.0.mp4\", fps=18))" ] }, { "cell_type": "markdown", "id": "99506ffb", "metadata": {}, "source": [ "## Seeing the support shrink directly\n", "\n", "Animations show the *motion*; a heatmap of each mode's per-vertex displacement\n", "magnitude on the **rest** beam shows the *support* at a glance. Bright = the\n", "vertex participates in that mode, black = it stays put. Top row is LMA; each row\n", "below raises $\\lambda$. The bright region contracts monotonically — the\n", "modes are literally becoming sparser." ] }, { "cell_type": "code", "execution_count": 9, "id": "0e5e8ba5", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:08.529510Z", "iopub.status.busy": "2026-06-09T05:43:08.529446Z", "iopub.status.idle": "2026-06-09T05:43:08.707747Z", "shell.execute_reply": "2026-06-09T05:43:08.707540Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def heatmap_row(axes, B):\n", " for ax, j in zip(axes, range(B.shape[1])):\n", " mag = np.linalg.norm(mode_disp(B[:, j]), axis=1)\n", " ax.tripcolor(X[:, 0], X[:, 1], T, mag / (mag.max() + 1e-12),\n", " shading=\"gouraud\", cmap=\"magma\", vmin=0, vmax=1)\n", " ax.set_aspect(\"equal\"); ax.set_xticks([]); ax.set_yticks([])\n", "\n", "rows = [(\"LMA\", Blma)] + [(f\"$\\\\lambda$ = {l}\", Bs[l]) for l in lambdas]\n", "fig, axes = plt.subplots(len(rows), 5, figsize=(13, 1.9 * len(rows)))\n", "for r, (name, B) in enumerate(rows):\n", " heatmap_row(axes[r], B)\n", " axes[r][0].set_ylabel(name, fontsize=12)\n", " if r == 0:\n", " for j in range(5):\n", " axes[0][j].set_title(f\"mode {j+1}\", fontsize=10)\n", "fig.suptitle(\"Mode support shrinks as $\\\\lambda$ grows (bright = moves, black = frozen)\", y=1.01)\n", "fig.tight_layout()\n", "fig.savefig(\"media/19_heatmaps.png\", dpi=110, bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bf7f8288", "metadata": {}, "source": [ "## Quantifying sparsity\n", "\n", "The \"active-vertex fraction\" — the share of vertices whose displacement\n", "exceeds 5% of a mode's peak, averaged over the five modes — falls off\n", "steeply with $\\lambda$. LMA modes touch essentially every vertex; by $\\lambda =\n", "8$ each mode lives on a small fraction of the beam." ] }, { "cell_type": "code", "execution_count": 10, "id": "e712c9de", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:08.708743Z", "iopub.status.busy": "2026-06-09T05:43:08.708691Z", "iopub.status.idle": "2026-06-09T05:43:08.751720Z", "shell.execute_reply": "2026-06-09T05:43:08.751513Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = [\"LMA\\n($\\\\lambda$=0)\"] + [f\"$\\\\lambda$={l}\" for l in lambdas]\n", "ys = [active_fraction(Blma)] + [active_fraction(Bs[l]) for l in lambdas]\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.bar(xs, ys, color=[\"#1f77b4\", \"#9467bd\", \"#d62728\", \"#000000\"])\n", "for i, v in enumerate(ys):\n", " ax.text(i, v + 0.01, f\"{v:.2f}\", ha=\"center\", fontsize=10)\n", "ax.set_ylim(0, 1.05); ax.set_ylabel(\"active-vertex fraction (avg over 5 modes)\")\n", "ax.set_title(\"Compressed modes get sparser as $\\\\lambda$ grows\")\n", "fig.tight_layout(); fig.savefig(\"media/19_sparsity.png\", dpi=110)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "695b32db", "metadata": {}, "source": [ "## Takeaways\n", "\n", "* **LMA modes are global.** They diagonalize $H$ against $M$, and the\n", " low-frequency shapes inevitably span the whole body. Great for spectral\n", " analysis, awkward for local editing.\n", "* **An $L_1$ penalty buys locality.** Minimizing $\\tfrac12 u^\\top H u + \\lambda\n", " \\lVert u\\rVert_1$ (mass-normalized, deflated) keeps the modes smooth where they\n", " live but forces them to zero everywhere else.\n", "* **One knob.** $\\lambda$ slides continuously from global LMA ($\\lambda\\to 0$) to\n", " tightly localized bumps (large $\\lambda$) — we watched both the motion and\n", " the support change with nothing else touched.\n", "* **`simkit.eigs_iccm`** computes these compressed modes for any $(H, M)$ pair,\n", " so the same recipe applies to any mesh, not just this beam.\n", "\n", "Localized modes are a natural basis for **part-based deformation**, **sparse\n", "control / actuation**, and **domain-decomposed** reduced simulation — places\n", "where a global modal basis would couple everything to everything." ] } ], "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 }