Winkler-Pasternak地基上四边固支层合板的振动

VIBRATION OF LAMINATED PLATES CLAMPED AT FOUR EDGES RESTING ON WINKLER-PASTERNAK FOUNDATIONS

本文在文的基础上,利用Bolotin方法,在考虑横向剪切变形的情况下,首次获得了Winkler-Pasternak地基上四边固支对称正交铺设层合板自由振动问题的渐近解析解。对于不同层数、不同长厚比的层合板以及在不同地基反力系数的情况下,文中进行了具体的数值计算,给出了相应的数值结果。作为本文一个简化算例,计算了弹性地基上正交各向异性厚板自由振动的固有频率,与其他文献所给结果非常一致。

In this paper, the asymptotic solutions of free vibration of symmetric cross-ply laminated plates clamped at four edges resting on Winkler-Pasternak foundations are obtained under the consideration of transverse shear deformation by using the laminate theory established in [1] and Bolotin's method. The numerical results are presented for laminated plates with different ratios of length and thickness in the case of different elastic and shear moduli of foundations. As a simple example, the frequencies of thick orthotropic plates on elastic foundations are calculated by using the formulae presented in the paper and compared with those given by the other paper. The comparison shows little difference between them.