Assessment of Axisymmetric Dynamic Snap-Through and Thermally Induced Vibrations in FGM Cylindrical Shells Under Instantaneous Heating

IF 3 3区工程技术 Q2 ENGINEERING, CIVIL International Journal of Structural Stability and Dynamics Pub Date : 2024-03-07 DOI:10.1142/s0219455425500324

A. Keibolahi, M. R. Eslami, Y. Kiani

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Abstract

This paper addresses the investigation of axisymmetric thermally induced vibrations in Functionally Graded Material (FGM) cylindrical shells. It considers temperature-dependent (TD) properties and geometric non-linearity (the von Karman effect). The study systematically solves a transient heat conduction equation using finite differences method and the Crank–Nicolson method. During the heating stages, the evaluation of thermal forces and moments takes place. Equations of motion are derived through the application of Hamilton’s principle. Spatial dependencies are discretized using the generalized Ritz method, while temporal dependencies are approximated using the $β$ -Newmark method with Newton–Raphson linearization. A comparative analysis validates the procedure’s efficiency and precision. Parametric studies explore the influence of parameters, including the temperature-dependency material properties, geometric nonlinearity, and shell’s power-law index, providing valuable insights into FGM shell behavior under thermal shock.

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评估瞬时加热条件下 FGM 圆柱壳的轴对称动态卡穿和热诱导振动

本文探讨了功能分级材料（FGM）圆柱形壳体中轴对称热诱导振动的研究。它考虑了温度相关 (TD) 特性和几何非线性（von Karman 效应）。研究采用有限差分法和 Crank-Nicolson 法系统地求解了瞬态热传导方程。在加热阶段，对热力和热力矩进行评估。通过应用汉密尔顿原理推导出运动方程。空间依赖关系采用广义里兹法离散化，而时间依赖关系则采用牛顿-拉斐森线性化的 β-Newmark 法近似计算。对比分析验证了该程序的效率和精度。参数研究探讨了各种参数的影响，包括与温度相关的材料特性、几何非线性和壳体的幂律指数，为了解热冲击下的 FGM 壳体行为提供了宝贵的见解。

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来源期刊

International Journal of Structural Stability and Dynamics 工程技术-工程：机械

CiteScore

5.30

自引率

38.90%

发文量

291

审稿时长

4 months

期刊介绍： The aim of this journal is to provide a unique forum for the publication and rapid dissemination of original research on stability and dynamics of structures. Papers that deal with conventional land-based structures, aerospace structures, marine structures, as well as biostructures and micro- and nano-structures are considered. Papers devoted to all aspects of structural stability and dynamics (both transient and vibration response), ranging from mathematical formulations, novel methods of solutions, to experimental investigations and practical applications in civil, mechanical, aerospace, marine, bio- and nano-engineering will be published. The important subjects of structural stability and structural dynamics are placed together in this journal because they share somewhat fundamental elements. In recognition of the considerable research interests and recent proliferation of papers in these subjects, it is hoped that the journal may help bring together papers focused on related subjects, including the state-of-the-art surveys, so as to provide a more effective medium for disseminating the latest developments to researchers and engineers. This journal features a section for technical notes that allows researchers to publish their initial findings or new ideas more speedily. Discussions of papers and concepts will also be published so that researchers can have a vibrant and timely communication with others.