【摘要】 本文研究弹性基础上任意四边形中厚板在预加面内荷载作用下的横向振动问题。通过坐标变换将任意四边形区域映照到一个2×2的单位方板区域。用一组数学上完备的二元多项式作为位形函数,采用pb-2Ritz法求得板的自振频率。并通过算例考察了基础刚度参数、预加面内荷载、边界条件、横向剪切变形等对板振动特性的影响。更多还原

【Abstract】 This paper deals with the flexural vibration of arbitrary quadrilateral plates with moderate thickness resting on elastic foundations. The arbitrary quadrilateral plate is first mapped to a 2×2 basic square plate. A set of mathematically complete two- dimensional polynomials is used as the admissible displacement functions and the pb- 2 Ritz method is employed to determine the natural frequencies of the plate. Numerical results are given in tabular forms, showing that the vibration characteristics of the plates are greatly influenced by founda- tion stiffness, initial membrane stresses, boundary conditions and transverse shear deformation.更多还原