An accurate and straightforward approach to thermo-electro-mechanical vibration of piezoelectric fiber-reinforced composite cylindrical shells. (1st January 2019)

• Record Type: Journal Article
• Authors: Zhou, Zhenhuan; Ni, Yiwen; Zhu, Shengbo; Tong, Zhenzhen; Sun, Jiabin; Xu, Xinsheng
• Is Part Of: Composite structures. Volume 207(2019)
• Page Start: 292
• Page End: 303
• Publication Date: 2019-01-01
• Subjects: Piezoelectric fiber-reinforced composites -- Cylindrical shell -- Thermo-electro-mechanical free vibration -- Analytical solution -- Hamiltonian-based method; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2018.08.076
• Languages: English
• ISSNs: 0263-8223

Abstract

Graphical abstract: Highlights: An analytical method is proposed for free vibration of a PFRC cylindrical shell. Exact solutions are derived in a rigorous way without any trial function. Frequency equations and vibration mode shapes are analytical obtained. A detailed discussion on the expressions of symplectic eigenfunctions are presented. New results are presented and can be used as benchmarks. Abstract: Exact solutions for thermo-electro-mechanical free vibration of a piezoelectric fiber-reinforced composite (PFRC) cylindrical shell is obtained under the framework of Hamiltonian mechanics. Two types of fiber reinforcement including the uniformly distributed in each ply and functionally graded in the thickness direction are taken into considered. Unlike the classical analytical treatment which relies on trial functions, the governing equations in the Hamiltonian form can be directly solved through a rigorous way. Free vibration of PFRC cylindrical shells is reduced into a symplectic eigenproblem which has five kinds of explicit eigenfunctions. Analytical frequency equations and vibration mode shapes are derived simultaneously. In numerical examples, a comparison study is performed to verify the validity of the proposed solution. A detailed discussion is presented to reveal the effects of key influencing factors on the expression of eigenfunctions. Some new results which can be used as benchmarks for the approximate approach are given also.