摘要
利用高阶剪切变形理论研究了双模量梁的弯曲变形问题,推导出了双模量梁的挠曲线方程及弯曲正应力公式.讨论分析了翘曲函数的指数n对挠度、正应力的影响.研究结果表明:拉压弹性模量的差异对梁的弯曲应力有较大影响.把高阶剪切变形理论的计算结果与弹性理论计算结果进行比较,可知该方法计算精度非常高.
The bending deformation of double modulus beam is studied by higher order shear deformation theory.The flexural equation and the bending normal stress formula of double modulus beams are derived.The influence of exponential n of warping function on deflection and normal stress is analyzed.The results show that the difference between elastic modulus of tension and compression has great influence on the bending stress of beam.The comparison between the results of the higher order shear deformation theory and the elastic theory shows that the proposed method possesses excellent accuracy.
作者
吴晓
WU Xiao(College of Mechanical Engineering,Hunan University of Arts and Science,Changde 415000,Hunan,China)
出处
《力学季刊》
CAS
CSCD
北大核心
2023年第1期210-217,共8页
Chinese Quarterly of Mechanics
基金
湖南省教育厅项目(19B383)。
关键词
高阶剪切变形
双模量
梁弯曲
挠度
弹性模量
higher order shear deformation
double modulus
beam bending
deflection
elasticity modulus