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Resonance - Wikiversity

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.projectbox-image{border:0;text-align:center;width:45px;height:45px}.mw-parser-output .projectbox-text{border:0;font-size:8pt;line-height:1.25em;padding:0.5em}@media screen and (max-width:720px){.mw-parser-output .projectbox{margin:5px 0}}</style> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Resonance.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Resonance.PNG/200px-Resonance.PNG" decoding="async" width="200" height="145" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Resonance.PNG/300px-Resonance.PNG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/07/Resonance.PNG/400px-Resonance.PNG 2x" data-file-width="3249" data-file-height="2351" /></a><figcaption>Resonance effect for various input <a href="/wiki/Frequency" title="Frequency">frequencies</a> and damping coefficients.</figcaption></figure><p>In <a href="/wiki/Physics" title="Physics">physics</a>, <b>resonance</b> is the tendency of a system to <a href="/wiki/Vibration" title="Vibration">vibrate</a> with increasing <a href="/wiki/Amplitude" title="Amplitude">amplitudes</a> at some <a href="/wiki/Frequency" title="Frequency">frequencies</a> of excitation. These are known as the system's <i>resonant frequencies</i> (or <i>resonance frequencies</i>) <sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>. </p><p>An example of useful effect of resonant frequency is a <a href="/wiki/Guitar" title="Guitar">guitar</a> string which makes a characteristic noise when it is touched. The noise depends on how thick or slack the string is. </p><p>In <a href="/wiki/Earthquake_engineering" class="mw-redirect" title="Earthquake engineering">earthquake engineering</a>, on contrary, any possibility of a resonance is detrimental for the <a href="/wiki/Building" title="Building">building structure</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Other_pages">Other pages</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resonance&amp;veaction=edit&amp;section=1" title="Edit section: Other pages" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resonance&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Other pages"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r2576580">.mw-parser-output .side-box{margin:4px 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li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <a href="https://commons.wikimedia.org/wiki/Category:Mechanical_vibrations" class="extiw" title="commons:Category:Mechanical vibrations"><span style="font-style:italic; font-weight:bold;">Mechanical vibrations</span></a>.</div></div> </div> <ul><li><a href="/wiki/Vibration_control" title="Vibration control">Vibration control</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resonance&amp;veaction=edit&amp;section=2" title="Edit section: References" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resonance&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: References"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r2661605">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Tongue, Benson, <i>Principles of Vibration</i>, Oxford University Pres, 2001, <style data-mw-deduplicate="TemplateStyles:r2527938">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output 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