journal article·2021-10

An accurate model for free vibration of porous magneto-electro-thermo-elastic functionally graded cylindrical shells subjected to multi-field coupled loadings

Yiwen Ni, Shengbo Zhu, Jiabin Sun, Zhenzhen Tong, Zhenhuan Zhou, Xinsheng Xu, Chee Wah Lim

Publisher page

Abstract

An accurate model for vibration of a porous magneto-electro-thermo-elastic functionally graded (METE-FG) cylindrical shell made of barium titanate (BaTiO 3 ) and cobalt diiron tetraoxide (CoFe 2 O 4 ) with magneto-electro-thermal loadings is proposed within the framework of Hamiltonian system. Four types of porosity distribution profiles in the thickness direction are considered. By introducing a new total eigenvector, the higher-order governing differential equations are transformed into a set of lower-order equations. The exact solution for free vibration of METE-FG shells can be expanded in terms of specific symplectic eigenfunctions having seven possible explicit forms. Subsequently, analytical frequency equations and vibration mode shapes for METE-FG shells with various boundary conditions are derived simultaneously. A comparison study is presented to demonstrate the accuracy of the proposed model and very good agreement is observed. The effects of material properties and magneto-electro-thermal loadings on free vibration characteristics of METE-FG cylindrical shells are analyzed and discussed in detail.
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Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Numerical methods in engineering · Railway Engineering and Dynamics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo, P.R. China

State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, International Center for Computational Mechanics, Dalian, P.R. China

State Key Laboratory of Structural Analysis of Industrial Equipment and School of Ocean Science and Technology, Dalian University of Technology, Panjin, Liaoning, P.R. China

College of Locomotive and Rolling Stock Engineering, Dalian Jiaotong University, Dalian, P.R. China

Department of Architecture and Civil Engineering, City University of Hong Kong, Hong Kong SAR, P.R. China

Funding

National Natural Science Foundation of China · Research Grants Council of the Hong Kong Special Administrative Region · dalian science and technology innovation fund · Key Program of Natural Science Foundation of Liaoning Province of China · dalian high-level talent innovation program · fundamental research funds for the central universities

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