http://www.sklogwiki.org/SklogWiki/index.php?action=history&feed=atom&title=Harmonic_spring_approximation 2026-04-30T22:24:08Z Revision history for this page on the wiki MediaWiki 1.41.0 http://www.sklogwiki.org/SklogWiki/index.php?title=Harmonic_spring_approximation&diff=3476&oldid=prev 2007-07-30T14:41:23Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:41, 30 July 2007</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The &#039;&#039;&#039;Harmonic spring&#039;&#039;&#039; (also known as the &#039;&#039;&#039;Hookean spring&#039;&#039;&#039;) approximation assumes that the  </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The &#039;&#039;&#039;Harmonic spring&#039;&#039;&#039; (also known as the &#039;&#039;&#039;Hookean spring&#039;&#039;&#039;) approximation assumes that the  </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>spring obeys <del style="font-weight: bold; text-decoration: none;">'</del>''Hookes Law'', i.e.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>spring obeys ''Hookes Law'', i.e.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:&lt;math&gt;{\mathbf F} = -k {\mathbf x}&lt;/math&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:&lt;math&gt;{\mathbf F} = -k {\mathbf x}&lt;/math&gt;</div></td></tr> </table>

Carl McBride http://www.sklogwiki.org/SklogWiki/index.php?title=Harmonic_spring_approximation&diff=3474&oldid=prev 2007-07-30T14:40:07Z

<p>New page: The &#039;&#039;&#039;Harmonic spring&#039;&#039;&#039; (also known as the &#039;&#039;&#039;Hookean spring&#039;&#039;&#039;) approximation assumes that the spring obeys &#039;&#039;&#039;Hookes Law&#039;&#039;, i.e. :&lt;math&gt;{\mathbf F} = -k {\mathbf x}&lt;/math&gt; where &#039;&#039;F...</p> <p><b>New page</b></p><div>The &#039;&#039;&#039;Harmonic spring&#039;&#039;&#039; (also known as the &#039;&#039;&#039;Hookean spring&#039;&#039;&#039;) approximation assumes that the <br /> spring obeys &#039;&#039;&#039;Hookes Law&#039;&#039;, i.e.<br /> <br /> :&lt;math&gt;{\mathbf F} = -k {\mathbf x}&lt;/math&gt;<br /> <br /> where &#039;&#039;F&#039;&#039; is the force, &#039;&#039;x&#039;&#039; is the extension of the spring, and &#039;&#039;k&#039;&#039; is the &#039;&#039;spring constant&#039;&#039;.<br /> <br /> This approximation is often used for chemical-bond stretching terms in various [[force fields]]:<br /> <br /> :&lt;math&gt; \Phi_{str} (r_{12}) = \frac{1}{2} K_{str} ( r_{12} - b_0 )^2 &lt;/math&gt;<br /> [[category: classical mechanics]]</div>

Carl McBride