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Computational Models for the Static and Dynamic Analyses of Laminated Composite Plates

机译:层压复合板静态和动态分析的计算模型

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The present study is to assess the accuracy of the few computational models based on various shear deformation theories in predicting the static and dynamic behaviour of antisymmetric angle-ply laminated composite plates. In the present investigation two higher order refined computational models incorporate the laminate deformations which account for the effects of both transverse shear and normal deformation and a non-linear variation of in-plane displacements are used. In addition to above, few higher order models and the first order model developed by other investigators and available in the literature are also considered for the evaluation. The equations of equilibrium are obtained using Principle of Minimum Potential Energy and the equations of motion using Hamilton's principle. Solutions are obtained in closed-form using Navier's solution technique. The solutions of the static analysis are obtained by solving the boundary value problem and the natural frequencies are obtained by solving the eigenvalue problem. The accuracy of the solutions obtained from the different models are established by comparing the results with the solutions wherever available in the literature. Results generated independently using the various models are presented for antisymmetric angle ply composite plates which will serve as benchmark solutions for future investigations.
机译:本研究是基于各种剪切变形理论来评估少数计算模型的准确性,以预测防葬角帘布层层压复合板的静态和动态行为。在本研究中,两个高阶精细的计算模型包含用于横向剪切和正常变形的效果的层压变形,并且使用面内位移的非线性变化。除了上述外,还考虑了一些更高阶模型和其他调查人员开发的第一阶模型,并在文献中提供了评估。使用汉密尔顿原则使用最小势能的原理和运动方程的原理获得平衡方程。使用Navier的解决方案技术以封闭式获得解决方案。通过求解边值问题而获得静态分析的解决方案,通过求解特征值问题而获得自然频率。通过将结果与文献中可用的解决方案进行比较,建立从不同型号获得的溶液的精度。对于防反对称角度帘布层,可以作为未来调查的基准解决方案,提出了独立使用各种型号产生的结果。

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