CINXE.COM

<!DOCTYPE html>     <html>  <head> <meta charset="ISO-8859-1"> <meta name="viewport" content="width=device-width"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="shortcut icon" href="https://publish.illinois.edu/wp-content/themes/lndvl/favicon.ico"> <link href="https://publish.illinois.edu/wp-content/themes/lndvl/style.css" rel="stylesheet" type="text/css"> <title>Home - Linear and Nonlinear Dynamics and Vibrations Laboratory</title> <meta name='robots' content='max-image-preview:large' /> <link rel="alternate" type="application/rss+xml" title="Linear and Nonlinear Dynamics and Vibrations Laboratory » Home Comments Feed" href="https://lndvl.mechse.illinois.edu/home/feed/" /> <script type="text/javascript"> /* <![CDATA[ */ window._wpemojiSettings = {"baseUrl":"https:\/\/s.w.org\/images\/core\/emoji\/15.0.3\/72x72\/","ext":".png","svgUrl":"https:\/\/s.w.org\/images\/core\/emoji\/15.0.3\/svg\/","svgExt":".svg","source":{"concatemoji":"https:\/\/lndvl.mechse.illinois.edu\/wp-includes\/js\/wp-emoji-release.min.js?ver=6.6.2"}}; /*! This file is auto-generated */ !function(i,n){var o,s,e;function c(e){try{var t={supportTests:e,timestamp:(new Date).valueOf()};sessionStorage.setItem(o,JSON.stringify(t))}catch(e){}}function p(e,t,n){e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(t,0,0);var t=new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data),r=(e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(n,0,0),new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data));return t.every(function(e,t){return e===r[t]})}function u(e,t,n){switch(t){case"flag":return n(e,"\ud83c\udff3\ufe0f\u200d\u26a7\ufe0f","\ud83c\udff3\ufe0f\u200b\u26a7\ufe0f")?!1:!n(e,"\ud83c\uddfa\ud83c\uddf3","\ud83c\uddfa\u200b\ud83c\uddf3")&&!n(e,"\ud83c\udff4\udb40\udc67\udb40\udc62\udb40\udc65\udb40\udc6e\udb40\udc67\udb40\udc7f","\ud83c\udff4\u200b\udb40\udc67\u200b\udb40\udc62\u200b\udb40\udc65\u200b\udb40\udc6e\u200b\udb40\udc67\u200b\udb40\udc7f");case"emoji":return!n(e,"\ud83d\udc26\u200d\u2b1b","\ud83d\udc26\u200b\u2b1b")}return!1}function f(e,t,n){var r="undefined"!=typeof WorkerGlobalScope&&self instanceof WorkerGlobalScope?new OffscreenCanvas(300,150):i.createElement("canvas"),a=r.getContext("2d",{willReadFrequently:!0}),o=(a.textBaseline="top",a.font="600 32px Arial",{});return e.forEach(function(e){o[e]=t(a,e,n)}),o}function t(e){var t=i.createElement("script");t.src=e,t.defer=!0,i.head.appendChild(t)}"undefined"!=typeof Promise&&(o="wpEmojiSettingsSupports",s=["flag","emoji"],n.supports={everything:!0,everythingExceptFlag:!0},e=new Promise(function(e){i.addEventListener("DOMContentLoaded",e,{once:!0})}),new Promise(function(t){var n=function(){try{var e=JSON.parse(sessionStorage.getItem(o));if("object"==typeof e&&"number"==typeof e.timestamp&&(new Date).valueOf()<e.timestamp+604800&&"object"==typeof e.supportTests)return e.supportTests}catch(e){}return null}();if(!n){if("undefined"!=typeof Worker&&"undefined"!=typeof OffscreenCanvas&&"undefined"!=typeof URL&&URL.createObjectURL&&"undefined"!=typeof Blob)try{var e="postMessage("+f.toString()+"("+[JSON.stringify(s),u.toString(),p.toString()].join(",")+"));",r=new Blob([e],{type:"text/javascript"}),a=new Worker(URL.createObjectURL(r),{name:"wpTestEmojiSupports"});return void(a.onmessage=function(e){c(n=e.data),a.terminate(),t(n)})}catch(e){}c(n=f(s,u,p))}t(n)}).then(function(e){for(var t in e)n.supports[t]=e[t],n.supports.everything=n.supports.everything&&n.supports[t],"flag"!==t&&(n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&n.supports[t]);n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&!n.supports.flag,n.DOMReady=!1,n.readyCallback=function(){n.DOMReady=!0}}).then(function(){return e}).then(function(){var e;n.supports.everything||(n.readyCallback(),(e=n.source||{}).concatemoji?t(e.concatemoji):e.wpemoji&&e.twemoji&&(t(e.twemoji),t(e.wpemoji)))}))}((window,document),window._wpemojiSettings); /* ]]> */ </script> <style id='wp-emoji-styles-inline-css' type='text/css'> img.wp-smiley, img.emoji { display: inline !important; border: none !important; box-shadow: none !important; height: 1em !important; width: 1em !important; margin: 0 0.07em !important; vertical-align: -0.1em !important; background: none !important; padding: 0 !important; } </style> <link rel='stylesheet' id='wp-block-library-css' href='https://lndvl.mechse.illinois.edu/wp-includes/css/dist/block-library/style.min.css?ver=6.6.2' type='text/css' media='all' /> <style id='classic-theme-styles-inline-css' type='text/css'> /*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} </style> <style id='global-styles-inline-css' type='text/css'> :root{--wp--preset--aspect-ratio--square: 1;--wp--preset--aspect-ratio--4-3: 4/3;--wp--preset--aspect-ratio--3-4: 3/4;--wp--preset--aspect-ratio--3-2: 3/2;--wp--preset--aspect-ratio--2-3: 2/3;--wp--preset--aspect-ratio--16-9: 16/9;--wp--preset--aspect-ratio--9-16: 9/16;--wp--preset--color--black: #000000;--wp--preset--color--cyan-bluish-gray: #abb8c3;--wp--preset--color--white: #ffffff;--wp--preset--color--pale-pink: #f78da7;--wp--preset--color--vivid-red: #cf2e2e;--wp--preset--color--luminous-vivid-orange: #ff6900;--wp--preset--color--luminous-vivid-amber: #fcb900;--wp--preset--color--light-green-cyan: #7bdcb5;--wp--preset--color--vivid-green-cyan: #00d084;--wp--preset--color--pale-cyan-blue: #8ed1fc;--wp--preset--color--vivid-cyan-blue: #0693e3;--wp--preset--color--vivid-purple: #9b51e0;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple: linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan: linear-gradient(135deg,rgb(122,220,180) 0%,rgb(0,208,130) 100%);--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange: linear-gradient(135deg,rgba(252,185,0,1) 0%,rgba(255,105,0,1) 100%);--wp--preset--gradient--luminous-vivid-orange-to-vivid-red: linear-gradient(135deg,rgba(255,105,0,1) 0%,rgb(207,46,46) 100%);--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray: linear-gradient(135deg,rgb(238,238,238) 0%,rgb(169,184,195) 100%);--wp--preset--gradient--cool-to-warm-spectrum: linear-gradient(135deg,rgb(74,234,220) 0%,rgb(151,120,209) 20%,rgb(207,42,186) 40%,rgb(238,44,130) 60%,rgb(251,105,98) 80%,rgb(254,248,76) 100%);--wp--preset--gradient--blush-light-purple: linear-gradient(135deg,rgb(255,206,236) 0%,rgb(152,150,240) 100%);--wp--preset--gradient--blush-bordeaux: linear-gradient(135deg,rgb(254,205,165) 0%,rgb(254,45,45) 50%,rgb(107,0,62) 100%);--wp--preset--gradient--luminous-dusk: linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%);--wp--preset--gradient--pale-ocean: linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 50%,rgb(51,167,181) 100%);--wp--preset--gradient--electric-grass: linear-gradient(135deg,rgb(202,248,128) 0%,rgb(113,206,126) 100%);--wp--preset--gradient--midnight: linear-gradient(135deg,rgb(2,3,129) 0%,rgb(40,116,252) 100%);--wp--preset--font-size--small: 13px;--wp--preset--font-size--medium: 20px;--wp--preset--font-size--large: 36px;--wp--preset--font-size--x-large: 42px;--wp--preset--spacing--20: 0.44rem;--wp--preset--spacing--30: 0.67rem;--wp--preset--spacing--40: 1rem;--wp--preset--spacing--50: 1.5rem;--wp--preset--spacing--60: 2.25rem;--wp--preset--spacing--70: 3.38rem;--wp--preset--spacing--80: 5.06rem;--wp--preset--shadow--natural: 6px 6px 9px rgba(0, 0, 0, 0.2);--wp--preset--shadow--deep: 12px 12px 50px rgba(0, 0, 0, 0.4);--wp--preset--shadow--sharp: 6px 6px 0px rgba(0, 0, 0, 0.2);--wp--preset--shadow--outlined: 6px 6px 0px -3px rgba(255, 255, 255, 1), 6px 6px rgba(0, 0, 0, 1);--wp--preset--shadow--crisp: 6px 6px 0px rgba(0, 0, 0, 1);}:where(.is-layout-flex){gap: 0.5em;}:where(.is-layout-grid){gap: 0.5em;}body .is-layout-flex{display: flex;}.is-layout-flex{flex-wrap: wrap;align-items: center;}.is-layout-flex > :is(*, div){margin: 0;}body .is-layout-grid{display: grid;}.is-layout-grid > :is(*, div){margin: 0;}:where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;}:where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;}.has-black-color{color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-color{color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-color{color: var(--wp--preset--color--white) !important;}.has-pale-pink-color{color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-color{color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-color{color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-color{color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-color{color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-color{color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-color{color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-color{color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-color{color: var(--wp--preset--color--vivid-purple) !important;}.has-black-background-color{background-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-background-color{background-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-background-color{background-color: var(--wp--preset--color--white) !important;}.has-pale-pink-background-color{background-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-background-color{background-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-background-color{background-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-background-color{background-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-background-color{background-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-background-color{background-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-background-color{background-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-background-color{background-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-background-color{background-color: var(--wp--preset--color--vivid-purple) !important;}.has-black-border-color{border-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-border-color{border-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-border-color{border-color: var(--wp--preset--color--white) !important;}.has-pale-pink-border-color{border-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-border-color{border-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-border-color{border-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-border-color{border-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-border-color{border-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-border-color{border-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-border-color{border-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-border-color{border-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-border-color{border-color: var(--wp--preset--color--vivid-purple) !important;}.has-vivid-cyan-blue-to-vivid-purple-gradient-background{background: var(--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple) !important;}.has-light-green-cyan-to-vivid-green-cyan-gradient-background{background: var(--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan) !important;}.has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange) !important;}.has-luminous-vivid-orange-to-vivid-red-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-orange-to-vivid-red) !important;}.has-very-light-gray-to-cyan-bluish-gray-gradient-background{background: var(--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray) !important;}.has-cool-to-warm-spectrum-gradient-background{background: var(--wp--preset--gradient--cool-to-warm-spectrum) !important;}.has-blush-light-purple-gradient-background{background: var(--wp--preset--gradient--blush-light-purple) !important;}.has-blush-bordeaux-gradient-background{background: var(--wp--preset--gradient--blush-bordeaux) !important;}.has-luminous-dusk-gradient-background{background: var(--wp--preset--gradient--luminous-dusk) !important;}.has-pale-ocean-gradient-background{background: var(--wp--preset--gradient--pale-ocean) !important;}.has-electric-grass-gradient-background{background: var(--wp--preset--gradient--electric-grass) !important;}.has-midnight-gradient-background{background: var(--wp--preset--gradient--midnight) !important;}.has-small-font-size{font-size: var(--wp--preset--font-size--small) !important;}.has-medium-font-size{font-size: var(--wp--preset--font-size--medium) !important;}.has-large-font-size{font-size: var(--wp--preset--font-size--large) !important;}.has-x-large-font-size{font-size: var(--wp--preset--font-size--x-large) !important;} :where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;} :where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;} :root :where(.wp-block-pullquote){font-size: 1.5em;line-height: 1.6;} </style> <link rel='stylesheet' id='dev7-ns-nivoslider-css' href='https://lndvl.mechse.illinois.edu/wp-content/plugins/nivo-slider/assets/css/nivo-slider.css?ver=2.4.7' type='text/css' media='all' /> <link rel='stylesheet' id='afg_colorbox_css-css' href='https://lndvl.mechse.illinois.edu/wp-content/plugins/awesome-flickr-gallery-plugin/colorbox/colorbox.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='afg_css-css' href='https://lndvl.mechse.illinois.edu/wp-content/plugins/awesome-flickr-gallery-plugin/afg.css?ver=6.6.2' type='text/css' media='all' /> <script type="text/javascript" src="https://lndvl.mechse.illinois.edu/wp-includes/js/jquery/jquery.min.js?ver=3.7.1" id="jquery-core-js"></script> <script type="text/javascript" src="https://lndvl.mechse.illinois.edu/wp-includes/js/jquery/jquery-migrate.min.js?ver=3.4.1" id="jquery-migrate-js"></script> <script type="text/javascript" src="https://lndvl.mechse.illinois.edu/wp-content/plugins/awesome-flickr-gallery-plugin/colorbox/jquery.colorbox-min.js?ver=6.6.2" id="afg_colorbox_script-js"></script> <script type="text/javascript" src="https://lndvl.mechse.illinois.edu/wp-content/plugins/awesome-flickr-gallery-plugin/colorbox/mycolorbox.js?ver=6.6.2" id="afg_colorbox_js-js"></script> <link rel="EditURI" type="application/rsd+xml" title="RSD" href="https://lndvl.mechse.illinois.edu/xmlrpc.php?rsd" /> <meta name="generator" content="WordPress 6.6.2" /> <link rel="canonical" href="https://lndvl.mechse.illinois.edu/" /> <link rel='shortlink' href='https://lndvl.mechse.illinois.edu/' /> <link rel="alternate" title="oEmbed (JSON)" type="application/json+oembed" href="https://lndvl.mechse.illinois.edu/wp-json/oembed/1.0/embed?url=https%3A%2F%2Flndvl.mechse.illinois.edu%2F" /> <link rel="alternate" title="oEmbed (XML)" type="text/xml+oembed" href="https://lndvl.mechse.illinois.edu/wp-json/oembed/1.0/embed?url=https%3A%2F%2Flndvl.mechse.illinois.edu%2F&format=xml" /> <script src='https://publish.illinois.edu/?dm=4db78f2fb3cf29e9799e5ff2dbcbf689&action=load&blogid=830&siteid=1&t=121488556&back=https%3A%2F%2Flndvl.mechse.illinois.edu%2F' type='text/javascript' async></script><style type="text/css">/* Start writing your custom CSS here */</style></head> <body class="home page-template-default page page-id-232"> <header> <h1><a href="">Linear and Nonlinear Dynamics and Vibrations Laboratory</a></h1> <a href="http://illinois.edu" id="imark" class="ir">University of Illinois at Urbana-Champaign</a> <div id="department"><a href="http://mechanical.illinois.edu">Department of Mechanical Science and Engineering</a> & <a href="http://www.ae.illinois.edu/">Department of Aerospace Engineering</a></div> <div id="college"><a href="http://engineering.illinois.edu">Engineering</a> at <a href="http://illinois.edu">Illinois</a></div> <nav id="mainmenu" role="navigation"> <h2 class="visuallyhidden">Main Menu</h2> <ul id="menu-main-nav" class="menu"><li id="menu-item-233" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-home current-menu-item page_item page-item-232 current_page_item menu-item-233"><a href="https://lndvl.mechse.illinois.edu/" aria-current="page">Home</a></li> <li id="menu-item-246" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-246"><a href="https://lndvl.mechse.illinois.edu/about/">About LNDVL</a></li> <li id="menu-item-401" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-401"><a>Research</a> <ul class="sub-menu"> <li id="menu-item-403" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-403"><a href="https://lndvl.mechse.illinois.edu/research/">Current Projects</a></li> <li id="menu-item-381" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-381"><a href="https://lndvl.mechse.illinois.edu/research/completed-projects-since-2008/">Completed Projects</a></li> </ul> </li> <li id="menu-item-1109" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-1109"><a href="https://lndvl.mechse.illinois.edu/what-we-do/">What we do</a></li> <li id="menu-item-346" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-346"><a>Publications</a> <ul class="sub-menu"> <li id="menu-item-1204" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-1204"><a href="https://lndvl.mechse.illinois.edu/publications-2021-present/">Publications: 2021-present</a></li> <li id="menu-item-744" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-744"><a href="https://lndvl.mechse.illinois.edu/2015-2020/">Publications: 2015-2020</a></li> <li id="menu-item-254" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-254"><a href="https://lndvl.mechse.illinois.edu/publications-2010-2014/">Publications: 2010-2014</a></li> <li id="menu-item-1211" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-1211"><a href="https://lndvl.mechse.illinois.edu/publications-2005-2010/">Publications: 2005-2009</a></li> <li id="menu-item-256" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-256"><a href="https://lndvl.mechse.illinois.edu/publications-2000-2004/">Publications: 2000-2004</a></li> <li id="menu-item-257" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-257"><a href="https://lndvl.mechse.illinois.edu/publications-1995-1999/">Publications: 1995-1999</a></li> <li id="menu-item-258" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-258"><a href="https://lndvl.mechse.illinois.edu/publications-1990-1994/">Publications: 1990-1994</a></li> <li id="menu-item-259" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-259"><a href="https://lndvl.mechse.illinois.edu/publications-1985-1989/">Publications: 1985-1989</a></li> </ul> </li> <li id="menu-item-344" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-344"><a>People</a> <ul class="sub-menu"> <li id="menu-item-253" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-253"><a href="https://lndvl.mechse.illinois.edu/current-members/">Current Members</a></li> <li id="menu-item-250" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-250"><a href="https://lndvl.mechse.illinois.edu/collaborators/">Collaborators</a></li> <li id="menu-item-252" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-252"><a href="https://lndvl.mechse.illinois.edu/visitors/">Visitors</a></li> <li id="menu-item-251" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-251"><a href="https://lndvl.mechse.illinois.edu/alumni/">Alumni</a></li> <li id="menu-item-249" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-249"><a href="https://lndvl.mechse.illinois.edu/group-pictures/">Group Pictures</a></li> </ul> </li> <li id="menu-item-235" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-235"><a href="https://lndvl.mechse.illinois.edu/links/">Links</a></li> </ul> </nav> </header> <section id="content" role="main" class="clearfix"> <div id="container"> <header><h2>Home</h2></header> <div class="slider-wrapper"><div class="ribbon"></div><div id="nivoslider-6YSSL-585" class="nivoSlider" style="width:600px;height:350px;"><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/12/LNDVL_Baxters-600x350.png" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//img_0628_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_0699_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_0640_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_0676_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_069_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_0652_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_0647_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_0651_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//IMG_0668_600by350px.jpg" alt="" /><img decoding="async" src="https://lndvl.mechse.illinois.edu/files/2013/10//LarryDancing600by350px.jpg" alt="" /></div></div><script type="text/javascript"> jQuery(window).load(function(){ jQuery("#nivoslider-6YSSL-585").nivoSlider({ effect:"slideInLeft", slices:15, boxCols:8, boxRows:4, animSpeed:1000, pauseTime:4000, startSlide:0, directionNav:false, controlNav:false, controlNavThumbs:false, pauseOnHover:true, manualAdvance:false }); }); </script> <p style="border: 3px;border-style: solid;text-align: justify;font-size: 15px;border-color: #FF7733;padding: 1em"><strong>New! You can watch a Nonlinear Dynamics Webinar delivered by Prof. A. Vakakis on 27 Sept. 2023, titled “Passive vibration energy management through intentional nonlinearity” by following the link: <a href="https://cassyni.com/events/RHJjfE4atnTo7qxiCRcfBB?utm_campaign=event-starting-soon&utm_medium=email">https://cassyni.com/events/RHJjfE4atnTo7qxiCRcfBB?utm_campaign=event-starting-soon&utm_medium=email </a></strong></p> <p style="text-align: justify">The Linear and Nonlinear Dynamics and Vibrations Laboratory (LNDVL) at the <a href="http://illinois.edu/">University of Illinois</a> was formed as the result of a merger, in 1998, of <a href="http://mechanical.illinois.edu/directory/faculty/avakakis">Dr. Alexander Vakakis’s</a> and <a href="http://www.ae.uiuc.edu/people/faculty/bergman.html">Dr. Lawrence A. Bergman’s</a> own laboratories. With the addition of <a href="https://netfiles.uiuc.edu/dmmcf/www/">Dr. Michael McFarland</a> to the group, and with the assistance of the Departments of <a href="http://mechanical.illinois.edu/">Mechanical Science and Engineering (MechSE)</a> and <a href="http://www.ae.illinois.edu/">Aerospace Engineering</a>, the College of Engineering, support from federal and industrial sponsors, and numerous graduate and undergraduate students the Laboratory has evolved to its present state.</p> <p style="text-align: justify">Current research thrusts include the implementation of passive nonlinear targeted energy transfer for aeroelastic instability (flutter) suppression, vortex-induced vibration suppression, seismic mitigation, blast protection, and vibration/shock isolation of mechanical and structural components; dynamics of non-smooth dynamical systems, with emphasis to vibro-impacting systems and systems with friction; nonlinear system identification and reduced order modeling; structural health monitoring and damage detection; essentially nonlinear structural acoustics of granular media; strongly nonlinear micro- and nano-resonators; nonlinear vibration energy harvesting; and theoretical studies of dynamical systems and bifurcations in higher dimensional settings.</p> </div> <footer id="sidebar"> <div class="search"> <form id="searchform" method="get"> <label for="s" class="visuallyhidden">Search this site:</label> <input id="s" name="s" value="" type="text"> <input id="searchsubmit" title="Search" value="Search" type="submit"> </form> </div> </footer> </section> <footer> <p id="address"> <a href="">Linear and Nonlinear Dynamics and Vibrations Laboratory</a><br> <a href="http://illinois.edu">University of Illinois at Urbana-Champaign</a><br> 3003 Mechanical Engineering Bldg.<br> 1206 W. Green St.<br> Urbana, IL 61801-2307 </p> <p id="copyright"> © 2013–2025 The Board of Trustees at the University of Illinois. All rights reserved.<br> <a href="https://publish.illinois.edu/lndvlgroup/wp-login.php" title="Login">Login</a> </p> </footer> <script type="text/javascript" src="https://lndvl.mechse.illinois.edu/wp-content/plugins/nivo-slider/assets/js/jquery.nivo.slider.pack.js?ver=2.4.7" id="dev7-ns-nivoslider-js"></script> </body> </html>