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A three-dimensional semi-analytical model for the composite laminated plates with a stepped lap repair

机译：带阶梯搭接修复的复合层合板的三维半解析模型

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摘要

A three-dimensional semi-analytical model of the static response and sensitivity analysis was established based on the state space methods and meshless method for the composite laminated plates with a stepped lap repair. Firstly, the meshfree formulations of Hamilton canonical equation and the linear spring-layer were deduced by the radial point interpolation method (RPIM) shape functions and the modified Hellinger-Reissner (H-R) variational principle of elastic solids. And then a three-dimensional hybrid governing equation of the static response analysis and sensitivity analysis were developed for the composite laminated plates with a stepped lap repair. The present three-dimensional semi-analytical model with no initial assumptions regarding displacement and stress accounts for the transverse shear deformation and rotary in the governing equation of structure. By using the hybrid governing equation in the response analysis and sensitivity analysis, the convoluted algorithm can be avoided in sensitivity analysis, and the response quantities and the sensitivity coefficients can be obtained simultaneously.
机译：基于状态空间法和无网格法，建立了阶梯搭接修复复合层板的三维静态响应和灵敏度分析的半解析模型。首先，利用径向点插值法（RPIM）形状函数和改进的弹性固体Hellinger-Reissner（H-R）变分原理，推导了汉密尔顿正则方程和线性弹簧层的无网格公式。然后，针对阶梯搭接修复的复合层板，建立了静态响应分析和灵敏度分析的三维混合控制方程。在没有关于位移和应力的初始假设的情况下，本发明的三维半分析模型考虑了结构控制方程中的横向剪切变形和旋转。通过在响应分析和灵敏度分析中使用混合控制方程，可以避免在灵敏度分析中使用复杂的算法，并且可以同时获得响应量和灵敏度系数。

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