复合材料层合地基大厚度板的静、动力分析

从三维弹性力学动力平衡方程入手，抛弃应力或位移模式的人为假定，利用Fourier双重级数，建立了正交各向异性地基板的状态方程，并分别给出了地基上任意层厚薄板静力问题的统一解析式和动力问题的频率方程。此解包含9个正交异性弹性常量，且满足层间连续性条件，可求出层合地基板的全部位移、应力、地基反力和自振频率。数值计算结果表明：该方法具有计算效率高、精度好、工作量小，且便于多参数输入和多参数输出等优点.

Static and Dynamic Analyses of Thick Laminated Composite Foundation Plates

Based on dynamic equilibrium equations of three dimensional elasticity, a state equation was established for orthotropic foundation plates using double Fourier series, in which no assumption about stress or displacement modes was made. Analytical solutions and frequency equations of unified formulas were presented for thin and thick laminated foundation plates. Nine elastic constants are included in these solutions, furthermore, continuous conditions between players can be satisfied. All the displacements, stress components, foundation reactions and vibrant frequencies can be obtained. Numerical results show that this method has a high efficiency and accuracy but a little amount of calculation work, so it is convenient for parameter input and output.