A meshfree method for thermodynamic analysis of functionally graded elliptical shell with varying thickness in supersonic flow

IF 2.5 3区工程技术 Q2 MECHANICS

Archive of Applied Mechanics Pub Date : 2025-09-11 DOI:10.1007/s00419-025-02938-w

Cholnam Sin, Yujin Kim, Songhun Kwak, Jinsim Kim

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引用次数: 0

Abstract

This study presents a meshfree Jacobi-radial point interpolation (Jacobi-RPI) method for the dynamic analysis of functionally graded elliptical shell with varying thickness (FGESVT) in supersonic flow and thermal environment. The material properties of FGESVT are assumed to vary along the direction perpendicular to the bottom surface. The thermal stress due to the variation of environmental temperature is considered by introducing the nonlinear part of the Green–Lagrange strain. A meshfree shape function is constructed by combining the radial basis with Jacobi polynomials with fast convergence, numerical stability and high accuracy, and the displacement components of the FGESVT are expanded by using the meshfree Jacobi-RPI shape function. The equations of motion of the closed FGESVT are obtained by coupling the equations of several open shells. The accuracy and reliability of the proposed method are validated through a sufficient number of numerical studies for the free vibration and dynamic response analysis of open and closed FGESVT. Finally, the effect of thermal load, thickness variation and boundary condition on the free vibration and dynamic response of the FGESVT are discussed.

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超声速流动中变厚度功能梯度椭圆壳热力学分析的无网格方法

提出了一种无网格雅可比径向点插值（Jacobi-RPI）方法，用于变厚度功能梯度椭圆壳在超音速流动和热环境下的动力学分析。假设FGESVT的材料性能沿垂直于底表面的方向变化。引入格林-拉格朗日应变的非线性部分，考虑了环境温度变化引起的热应力。将径向基与Jacobi多项式相结合，构造了收敛快、数值稳定、精度高的无网格形状函数，并利用该无网格Jacobi- rpi形状函数展开了FGESVT的位移分量。通过对几个开壳的运动方程进行耦合，得到了封闭FGESVT的运动方程。通过对开启和关闭FGESVT的自由振动和动力响应分析，验证了所提方法的准确性和可靠性。最后讨论了热载荷、厚度变化和边界条件对FGESVT自由振动和动力响应的影响。

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来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.