{"id":269,"date":"2020-06-24T11:44:27","date_gmt":"2020-06-24T15:44:27","guid":{"rendered":"https:\/\/web.uri.edu\/nld\/?page_id=269"},"modified":"2026-10-10T20:57:46","modified_gmt":"2026-10-11T00:57:46","slug":"home","status":"publish","type":"page","link":"https:\/\/web.uri.edu\/nld\/","title":{"rendered":"Nonlinear Dynamics Laboratory"},"content":{"rendered":"\n<div style=\"background:#132433;padding:40px;display:flex;flex-wrap:wrap;align-items:center;gap:32px;margin:0 0 40px\">\n<div style=\"flex:1 1 320px;min-width:240px\">\n<p style=\"margin:0 0 12px;font-size:13px;line-height:16px;letter-spacing:0.12em;text-transform:uppercase;font-weight:600;color:#A9B6BF\"><span style=\"display:inline-block;width:24px;height:4px;background:#D98A52;vertical-align:middle;margin-right:10px\"><\/span>Nonlinear Dynamics Laboratory<\/p>\n<h2 style=\"color:#F7F6F2;font-size:40px;line-height:46px;margin:0 0 12px\">When amplitude changes the story<\/h2>\n<p style=\"color:#F7F6F2;font-size:21px;line-height:30px;margin:0 0 12px\">In nonlinear structures, amplitude changes frequency, mode shape and stability.<\/p>\n<p style=\"color:#A9B6BF;font-size:17px;line-height:27px;margin:0 0 24px\">We measure, model, and use these effects: nonlinear normal modes, reduced-order models, vibration absorbers, energy harvesters, and engineered structures.<\/p>\n<p style=\"margin:0\"><a href=\"https:\/\/web.uri.edu\/nld\/research\/\" style=\"display:inline-block;background:#D98A52;color:#132433;padding:10px 16px;border-radius:2px;text-decoration:none;font-weight:600;margin:0 8px 8px 0\">Our research<\/a><a href=\"https:\/\/web.uri.edu\/nld\/publications\/\" style=\"display:inline-block;border:1px solid #A9B6BF;color:#F7F6F2;padding:9px 16px;border-radius:2px;text-decoration:none;margin:0 8px 8px 0\">Publications<\/a><a href=\"https:\/\/web.uri.edu\/nld\/join-the-lab\/\" style=\"display:inline-block;border:1px solid #A9B6BF;color:#F7F6F2;padding:9px 16px;border-radius:2px;text-decoration:none;margin:0 8px 8px 0\">Join the lab<\/a><\/p>\n<\/div>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-hero-on-navy.jpg\" alt=\"The NLD mark: the solid common to four cylinders\" width=\"260\" height=\"260\" style=\"flex:0 1 260px;width:260px;max-width:100%;height:auto\">\n<\/div>\n\n\n\n<p style=\"margin:0 0 12px;font-size:13px;line-height:16px;letter-spacing:0.12em;text-transform:uppercase;font-weight:600;color:#5B6168\"><span style=\"display:inline-block;width:24px;height:4px;background:#B4622A;vertical-align:middle;margin-right:10px\"><\/span>Research<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Our research focuses on theoretical, computational, and experimental nonlinear dynamics and vibrations. The central themes are nonlinear modal analysis and experimental characterization of nonlinear normal modes; nonlinear reduced-order modeling and manifold-based reduction; nonlinear system and parameter identification; multivariate signal and time\u2013frequency analysis; and damage diagnosis and prognosis in engineered and natural systems. Current work examines geometry-programmed internal resonance, nonlinear vibration absorption and energy transfer, vibration energy harvesting, and nonlinear mechanical metamaterials. These efforts combine analytical mechanics, nonlinear dynamical-systems theory, numerical continuation, data-driven modeling, and carefully designed experiments to identify mechanisms and physics, construct interpretable reduced-order models, and develop practical methods for prediction, control, and structural-health assessment.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n\n<p style=\"margin:0 0 12px;font-size:13px;line-height:16px;letter-spacing:0.12em;text-transform:uppercase;font-weight:600;color:#5B6168\"><span style=\"display:inline-block;width:24px;height:4px;background:#B4622A;vertical-align:middle;margin-right:10px\"><\/span>Explore<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/research\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-research.jpg\" srcset=\"\" alt=\"Shaker test rig in the Nonlinear Dynamics Laboratory\"><\/div><div class=\"cl-card-container text\"><\/div><div class=\"cl-card-container button\">research<\/div><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/people\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-people-nes.jpg\" srcset=\"\" alt=\"Targeted energy transfer from a primary oscillator to a light nonlinear absorber\"><\/div><div class=\"cl-card-container text\"><\/div><div class=\"cl-card-container button\">people<\/div><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/publications\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-publications-backbone.jpg\" srcset=\"\" alt=\"Frequency responses of a hardening Duffing oscillator bending around the backbone curve\"><\/div><div class=\"cl-card-container text\"><\/div><div class=\"cl-card-container button\">publications<\/div><\/a><\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/news\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-news.jpg\" srcset=\"\" alt=\"Laboratory test setup\"><\/div><div class=\"cl-card-container text\"><\/div><div class=\"cl-card-container button\">news<\/div><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/facilities\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-facilities.jpg\" srcset=\"\" alt=\"Laboratory measurement stand\"><\/div><div class=\"cl-card-container text\"><\/div><div class=\"cl-card-container button\">facilities<\/div><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/teaching-and-resources\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-outreach.jpg\" srcset=\"\" alt=\"Students and faculty of the laboratory\"><\/div><div class=\"cl-card-container text\"><\/div><div class=\"cl-card-container button\">Teaching and outreach<\/div><\/a><\/div><\/div>\n<\/div>\n\n\n\n<p style=\"margin:0 0 12px;font-size:13px;line-height:16px;letter-spacing:0.12em;text-transform:uppercase;font-weight:600;color:#5B6168\"><span style=\"display:inline-block;width:24px;height:4px;background:#B4622A;vertical-align:middle;margin-right:10px\"><\/span>Resources<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/software\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-software-twowell.jpg\" srcset=\"\" alt=\"Delay reconstruction of the measured two-well oscillator record\"><\/div><div class=\"cl-card-container text\"><div class=\"cl-card-text\"><h2>Software and data developed by NLD<\/h2><p>MATLAB and Python code developed for the analysis of nonlinear time series and measured data.<\/p><\/div><\/div><div class=\"cl-card-container button\">Software and data<\/div><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/facilities\/computer-usage-policy\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-policy.jpg\" srcset=\"\" alt=\"Shield with code brackets\"><\/div><div class=\"cl-card-container text\"><div class=\"cl-card-text\"><h2>Software licensing and computer usage policy<\/h2><p>All research associates and students working at NLD must follow this policy without exception.<\/p><\/div><\/div><div class=\"cl-card-container button\">computing policy<\/div><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/home\/monographs-and-interactive-media\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-book-poincare.jpg\" srcset=\"\" alt=\"Stroboscopic sections of the measured two-well oscillator attractor\"><\/div><div class=\"cl-card-container text\"><div class=\"cl-card-text\"><h2>Monographs and interactive media<\/h2><p>Our book draft, monographs, interactive simulations and media for instruction.<\/p><\/div><\/div><div class=\"cl-card-container button\">Monographs and media<\/div><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"cl-wrapper cl-card-wrapper\"><a class=\"cl-card  \" href=\"https:\/\/web.uri.edu\/nld\/writing\/\" title=\"\"><div class=\"cl-card-container media\"><img decoding=\"async\" src=\"https:\/\/web.uri.edu\/nld\/wp-content\/uploads\/sites\/1815\/nld-card-writing-paper.jpg\" srcset=\"\" alt=\"Paper page with a frequency response figure\"><\/div><div class=\"cl-card-container text\"><div class=\"cl-card-text\"><h2>Writing papers and preparing figures<\/h2><p>How we write papers and reports, choose journals, and prepare figures in Python, MATLAB and Mathematica.<\/p><\/div><\/div><div class=\"cl-card-container button\">Writing and figure guides<\/div><\/a><\/div><\/div>\n<\/div>\n\n\n<div class=\"oembed oembed-youtu-be\" style=\"\" data-url=\"https:\/\/youtu.be\/zofsNA6kyfE\"><iframe loading=\"lazy\" title=\"nld logo reveal\" width=\"1000\" height=\"563\" src=\"https:\/\/www.youtube.com\/embed\/zofsNA6kyfE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n\n\n\n<p style=\"margin:0 0 12px;font-size:13px;line-height:16px;letter-spacing:0.12em;text-transform:uppercase;font-weight:600;color:#5B6168\"><span style=\"display:inline-block;width:24px;height:4px;background:#B4622A;vertical-align:middle;margin-right:10px\"><\/span>News<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Latest NLD posts<\/h2>\n\n\n<ul class=\"wp-block-latest-posts__list wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/web.uri.edu\/nld\/new-nld-style-guide-templates-and-figure-guide\/\">New NLD style guide, templates and figure guide<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/web.uri.edu\/nld\/nld-alumnus-collin-treacy-is-2026-orise-fellow\/\">NLD alumnus Collin Treacy named 2026 ORISE fellow<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/web.uri.edu\/nld\/dalton-l-stein-is-the-recepient-of-research-and-scholarship-excellense-award\/\">Dalton L. Stein receives Research and Scholarship Excellence Award<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/web.uri.edu\/nld\/smooth-mode-decomposition-theory-and-its-applications-in-full-field-output-only-modal-analysis\/\">Smooth mode decomposition: Theory and its applications in full-field output-only modal analysis<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/web.uri.edu\/nld\/geometry-informed-phase-space-warping-for-reliable-fatigue-damage-monitoring\/\">Geometry-informed phase space warping for reliable fatigue damage monitoring<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Nonlinear Dynamics Laboratory When amplitude changes the story In nonlinear structures, amplitude changes frequency, mode shape and stability. We measure, model, and use these effects: nonlinear normal modes, reduced-order models, vibration absorbers, energy harvesters, and engineered structures. Our researchPublicationsJoin the lab Research Our research focuses on theoretical, computational, and experimental nonlinear dynamics and vibrations. The [&hellip;]<\/p>\n","protected":false},"author":1291,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-internal-landing.php","meta":{"_acf_changed":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-269","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/pages\/269","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/users\/1291"}],"replies":[{"embeddable":true,"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/comments?post=269"}],"version-history":[{"count":5,"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/pages\/269\/revisions"}],"predecessor-version":[{"id":1905,"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/pages\/269\/revisions\/1905"}],"wp:attachment":[{"href":"https:\/\/web.uri.edu\/nld\/wp-json\/wp\/v2\/media?parent=269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}