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首页> 美国卫生研究院文献>Materials >Application of First-Order Shear Deformation Theory on Vibration Analysis of Stepped Functionally Graded Paraboloidal Shell with General Edge Constraints
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Application of First-Order Shear Deformation Theory on Vibration Analysis of Stepped Functionally Graded Paraboloidal Shell with General Edge Constraints

机译：一阶剪切变形理论在阶梯式功能梯度一般抛物面壳振动分析中的应用

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摘要

The paper introduces a semi-analytical approach to analyze free vibration characteristics of stepped functionally graded (FG) paraboloidal shell with general edge conditions. The analytical model is established based on multi-segment partitioning strategy and first-order shear deformation theory. The displacement components along axial direction are represented by Jacobi polynomials, and the Fourier series are utilized to express displacement components in circumferential direction. Based on penalty method about spring stiffness technique, the general edge conditions of doubly curved paraboloidal shell can be easily simulated. The solutions about doubly curved paraboloidal shell were solved by approach of Rayleigh–Ritz. Convergence study about boundary parameters, Jacobi parameters et al. are carried out, respectively. The comparison with published literatures, FEM and experiment results show that the present method has good convergence ability and excellent accuracy.
机译：本文介绍了一种半分析方法来分析具有一般边缘条件的阶梯式功能梯度（FG）抛物面壳的自由振动特性。基于多段划分策略和一阶剪切变形理论建立了分析模型。沿轴向的位移分量由Jacobi多项式表示，傅立叶级数用于表示沿圆周方向的位移分量。基于弹簧刚度技术的惩罚方法，可以很容易地模拟双曲抛物面壳的一般边缘条件。关于双曲抛物面壳的解决方案是通过瑞利-里兹方法解决的。关于边界参数，Jacobi参数等的收敛性研究。分别进行。与已发表的文献，有限元和实验结果进行比较表明，该方法具有很好的收敛能力和准确性。

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