摘要
得到了有自由边的各向异性平行四边形板在面内张力和剪力作用下自由振动、屈曲和弯曲问题的精确解析解。首先给出五个重傅里叶级数叠加解,然后通过叠加得到六种不同边界的解,包括悬臂板和四边自由的板等。对一些典型情况考查了其收敛性,结果令人满意。与其它精确解析解比较,其结果非常一致。
The accurate analytical-type solutions are obtained by Fourier series for the free vibration, the buckling and the bending of anisotropic skew plates with free edges subjected to uniformly distributed in-plane normal and shear forces. First five Double-Fourier series-type superposition solutions are given and then six solutions with various boundaries are obtained, including cantilever plate and completely free plate etc., by utilizing the superposition method. The covergence of the solutions is investigated in several typical cases and is found to be satisfactory. The accuracy of the results is campared with that of the exising results based on other accurate analytical-type methods and is found to be in good agreement.
出处
《工程力学》
EI
CSCD
北大核心
2008年第3期31-37,共7页
Engineering Mechanics
