Nonlinear vibrations analysis of two-directional functionally graded porous cylindrical shells resting on elastic substrates in a thermal environment based on Donnell nonlinear shell theory

IF 1 4区工程技术 Q3 ENGINEERING, AEROSPACE

Proceedings of the Institution of Mechanical Engineers Part G-Journal of Aerospace Engineering Pub Date : 2024-03-05 DOI:10.1177/09544100241234376

Ahmad Ali Rahmani, Farhad Hosseinnejad, Yasser Rostamiyan

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Abstract

The primary objective of this study is to investigate the nonlinear free vibrational characteristics of temperature-dependent two-directional functionally graded porous (TDFGP) cylindrical shells resting on elastic substrates in a thermal environment. To accomplish this, the thermomechanical equations are derived based on the Donnell nonlinear shell theory framework in conjunction with the von Kármán assumption. Two-directional functionally graded porous cylindrical shell models have mechanical properties that can change smoothly and continuously across the length and thickness of the shell. Additionally, it is assumed that the internal porosities in the matrix materials can be dispersed into two independent patterns, either even or uneven porosity distribution. The nonlinearity in free vibration assessed via the nonlinear-to-linear frequency ratio concerning the central deflection amplitude can be gained employing the Galerkin discretization approach and modified Poincare–Lindstedt (P-L) method. The accuracy and effectiveness of the present analytical model are indicated through comparison with existing solutions. Finally, some comprehensive parametric investigations are carried out to gain insight into the impacts of several factors on the nonlinear free vibration characteristics of structures under different conditions. The results of this article demonstrate that parameters such as gradient indices, volume fraction, distribution pattern of porosity, geometric parameters, and ambient temperature rise significantly influence the structure’s nonlinear frequency and free vibration response.

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基于唐奈非线性壳理论的热环境下弹性基底上双向功能分级多孔圆柱壳的非线性振动分析

本研究的主要目的是研究在热环境中，位于弹性基底上的与温度相关的双向功能分级多孔（TDFGP）圆柱壳的非线性自由振动特性。为此，基于唐奈非线性壳理论框架和 von Kármán 假设推导出了热力学方程。双向功能分级多孔圆柱壳模型的力学性能可以在整个壳体的长度和厚度上平滑、连续地变化。此外，还假设基体材料的内部孔隙可以分散成两种独立的模式，即均匀或不均匀的孔隙分布。采用 Galerkin 离散化方法和改进的 Poincare-Lindstedt (P-L) 方法，可以通过有关中心偏转振幅的非线性与线性频率比来评估自由振动的非线性。通过与现有解决方案的比较，说明了本分析模型的准确性和有效性。最后，还进行了一些综合参数研究，以深入了解不同条件下若干因素对结构非线性自由振动特性的影响。本文的研究结果表明，梯度指数、体积分数、孔隙率分布模式、几何参数和环境温升等参数对结构的非线性频率和自由振动响应有显著影响。

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

Proceedings of the Institution of Mechanical Engineers Part G-Journal of Aerospace Engineering 工程技术-工程：机械

CiteScore

2.40

自引率

18.20%

发文量

212

审稿时长

5.7 months

期刊介绍： The Journal of Aerospace Engineering is dedicated to the publication of high quality research in all branches of applied sciences and technology dealing with aircraft and spacecraft, and their support systems. "Our authorship is truly international and all efforts are made to ensure that each paper is presented in the best possible way and reaches a wide audience. "The Editorial Board is composed of recognized experts representing the technical communities of fifteen countries. The Board Members work in close cooperation with the editors, reviewers, and authors to achieve a consistent standard of well written and presented papers."Professor Rodrigo Martinez-Val, Universidad Politécnica de Madrid, Spain This journal is a member of the Committee on Publication Ethics (COPE).