摘要
本文研究受热载荷作用时作平面运动柔性梁的建模理论。从温度的泰勒展开式出发,建立了一维有限元离散的温度与变形相互耦合的热传导方程和柔性梁的动力学方程。将本文一维有限元方法的计算结果与Ansys二维有限元方法进行比较,研究表明在保留泰勒展开式高次项的情况下,本文一维有限元方法具有精度高和计算效率高的特点。在此基础上,进一步研究了热传导方程的变形速度的耦合项,温度变化引起的弹性模量变化和平面转动对温度、弹性变形和轴向应力的影响。
The dynamic modeling for a rotating planar beam applied with thermal load was investigated. Based on Taylor polynomial function, the heat conductive and dynamic equations were derived by using one dimensional finite element method, in which the coupling between temperature and deformation was taken into account. The present results were compared with those obtained by using Ansys Software. It shows that the proposed finite element method is both accurate and computationally efficient for the case that high order polynomial terms are included. Furthermore, the effect of coupling deformation velocity terms in the heat conductive equations, the variation of elastic modulus due to the temperature change and the planar rotation on the temperature, elastic deformation and axial stress were investigated.
出处
《力学季刊》
CSCD
北大核心
2008年第1期58-65,共8页
Chinese Quarterly of Mechanics
基金
国家自然科学基金项目(10472066,50475021)
关键词
热载荷
平面运动
柔性梁
一维有限元方法
弹性模量变化
themal load
planar rotation
flexible beam
one dimensional finite element method
variation of elastic modulus
