摘要
利用弹性理论研究了拉压弹性模量不同曲梁的平面应力及位移的问题,推导出了拉压弹性模量不同曲梁的应力及位移表达式。把该应力及位移表达式的计算结果与有限元法的计算结果进行了比较,验证了该拉压弹性模量不同曲梁的平面应力及位移公式的计算结果是可靠的。算例分析表明,对于拉压弹性模量不同曲梁的平面问题,不宜采用相同弹性模量弹性理论,而应该采用拉压弹性模量不同弹性理论。
It was studied that the plane stress and displacement problem of a curved beam with difference elastic moduli in tension and compression. Meanwhile the stress and displacement formulas were derived. Then the calculation results were compared with those obtained by the finite element method, the reliability of the stress and displacement formulae for a curved beam with difference elastic moduli in tension and compression were verified. The examples indicated that the plane problem of a curved beam with difference elastic moduli in tension and compression may as well not apply classical elastic theory with an identical elastic modulus, and should use elastic theory of difference elastic moduli in tension and compression.
出处
《工程力学》
EI
CSCD
北大核心
2013年第1期76-80,共5页
Engineering Mechanics
基金
湖南省科技计划项目(2008FJ3067)
湖南"十一五"重点建设学科项目(湘教通[2006]180号)
关键词
弹性模量
曲梁
应力
位移
有限元
elastic modulus
curved beam
stress
displacement
finite element
