摘要
采用Ambartsumyan改进的薄板理论,考虑剪切变形、转动惯量及板中性面弯曲正应力影响,分析了移动的荷载引起矩形薄板动力响应问题.荷载、位移采用双Fourier级数法,推导了由位移表示的薄板控制方程.数值计算分析了荷载速度、板尺寸等对板动力响应的影响,同时对比分析了改进薄板理论与经典薄板理论计算结果的差异.
The response of a rectangular plate subjected to a moving load is investigated.An improved plate theory which includes the effects of shear deformation and rotatory inertia as well as normal stress to the plate surface is introduced and the equation of motion in terms of single displacement is derived.Solutions are obtained by applying Fourier transforms.The effects of the approximation methods of the plate theory on the response of the displacement and the stress couples are examined with regard to the load velocity,plate dimensions,etc.,in addition to the comparison with the results deriving frrom the classical plate theory.
出处
《南昌工程学院学报》
CAS
2011年第3期15-20,共6页
Journal of Nanchang Institute of Technology
基金
国家自然科学基金资助项目(50578071)
江西省教育厅青年科学基金项目(GJJ09367)
南昌工程学院首批大学生科研训练计划项目
