A meshfree formulation for free vibration and stationary stochastic response analyses of laminated composite annular plate with straight fibers and variable thickness

IF 2.9 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-06-18 DOI:10.1007/s00707-025-04357-y

Juchol Jo, Kwangil Ri, Songhun Kwak, Kisong Yu, Poknam Han

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Abstract

The main aim of the present study is to develop a meshfree Jacobi-radial point interpolation (Jacobi-RPI) method for the free vibration and stochastic response analyses of laminated composite sectorial and annular plates with straight fibers and variable thickness. The Hamilton’s principle is adopted to establish the equations of motion of the laminated composite sectorial plate with straight fiber and variable thickness in framework of first-order shear deformation theory (FSDT). The straight fibers of the laminated sectorial plate are modeled by introducing fiber angles varying with circumferential coordinate, which leads to the loss of symmetry with respect to the rotation axis of the plate. Therefore, the equations of motion of the laminated annular plate with straight fiber are obtained by combining the equations of the several sectorial plates. The displacement components of the plate are approximated by using the meshfree Jacobi-RPI shape function. The accuracy and reliability of the proposed method are validated through a sufficient number of numerical studies. Finally, the effect of fiber direction, thickness parameter and boundary condition on the free vibration and stochastic response of the laminated composite sectorial and annular plates are discussed.

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直纤维变厚度层合复合材料环形板自由振动和平稳随机响应分析的无网格公式

本研究的主要目的是建立一种无网格雅可比径向点插值（Jacobi-RPI）方法，用于直纤维和变厚度的扇形和环形层合复合材料板的自由振动和随机响应分析。在一阶剪切变形理论（FSDT）框架下，采用Hamilton原理建立了变厚度直纤维层合扇形复合材料板的运动方程。通过引入随周向坐标变化的纤维角来模拟层合扇形板的直纤维，这导致纤维角相对于板的旋转轴失去对称性。因此，将多个扇形板的运动方程结合起来，得到了带直纤维的环形层合板的运动方程。采用无网格Jacobi-RPI形状函数对板的位移分量进行了近似。通过大量的数值研究，验证了该方法的准确性和可靠性。最后讨论了纤维方向、厚度参数和边界条件对复合材料扇形板和环形板自由振动和随机响应的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.