摘要
付宝连建立了直角坐标系,建立了有限变形非线性弹性力学的功的互等定理并给出了大挠度弯曲薄板的功的互等定理.应用大挠度弯曲薄板的第二类功的互等定理,求解了在均布载荷作用下三边简支一边固定大挠度弯曲矩形板的挠曲面方程,计算结果表明,该法简单有效.
Reciprocal theorem for non - linear elasticity with finite displacements in rectargular cartesian coordinates is established and reciprocal theorems for bending of thin plates with large deflections are given by Fubaolian. The solutions of thin bending rectangular plate with three edges simply supported and the other fixed, large deflection under uniform pressure is obtained by the Reciprocal Theorem Method in this paper. From the results it can be found that the method is valid.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2005年第6期758-763,共6页
Journal of Natural Science of Heilongjiang University
关键词
有限变形
大挠度弯曲薄板
功的互等定理
基本系统
finite displacement
bending of thin plates with large deflections
reciprocal theorem
the basic system