<!DOCTYPE html
  PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">

<!--
Copyright (c) 2006 UGS Corp.

All Rights Reserved.

This software and related documentation are proprietary to UGS Corp.
-->
<html>
   <head>
      <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
      <title>Gear Tooth with Solid Elements</title>
      <script language="javaScript">
        abridged="false";
        displayConditions=new Array();
      </script>
      <link type="text/css" href="../css/main_styles.css" rel="stylesheet">
   </head>
   <body class="bodydocs" onload="top.pageLoader()" bgcolor="#FFFFFF">
      <div class="title_topic2" id="xps10_pagetitle">Gear Tooth with Solid Elements</div>
      <hr noshade="true"><a name="gsfem_11285"></a><p class="para_topic">In this problem we create a very simple CHEXA solid element model of a gear tooth. In addition, NX Nastran&rsquo;s subcase feature is used to apply two load cases in a single run.</p><a name="gsfem_11287"></a><div class="title_division">Problem Statement</div><a name="gsfem_11291"></a><p class="para_division">Two spur gears are in contact as shown in Figure <a class="links" href="javascript:void(0)" onclick="top.openFile('get_start/03topic_8.html#gsfem_11308');return(false);">2-</a>. The gears are either aligned or misaligned. In the aligned case, a distributed load of 600 N/mm exists across the line of contact between two teeth. The line of contact is located at a radius of 99.6 mm from the gear&rsquo;s center. In the misaligned case, a concentrated load of 6000 N acts at a single point of contact at the edge of a tooth. The gear teeth are 10 mm wide and 23.5 mm high (from base to tip). The gear&rsquo;s material properties are:
      </p>
      <p class="para_division">E = 2.0 x 10<sup class="superscript">5</sup> MPa
      </p>
      <p class="para_division">&nu; = 0.3</p><a name="gsfem_11298"></a><p class="para_division">The goal is to obtain a rough estimate of a gear tooth&rsquo;s peak von Mises stress for each load case. von Mises stress, a commonly used quantity in finite element stress analysis, is given by:</p><a name="gsfem_11302"></a><div class="figure">
         <p align="left"><img align="bottom" src="graphics/gsfem8.gif"></p>
      </div>
      <div class="title_figure">Equation 2-1. </div><a name="gsfem_11308"></a><div class="figure">
         <p align="center"><img align="bottom" src="graphics/gsfem9.gif"></p>
      </div>
      <div class="title_figure">Figure. Spur Gears</div><a class="endOfDocLinks" href="03topic_9.html">The Finite Element Model</a><br><a class="endOfDocLinks" href="03topic_10.html">NX Nastran Results</a><br></body>
</html>