Journal ArticleDOI
Free vibrations of cylindrical shells with arbitrary boundary conditions: A comparison study
Zhaoye Qin,Fulei Chu,Jean Zu +2 more
TLDR
In this article, the free vibration characteristics of cylindrical shells with arbitrary boundary conditions are investigated, and a unified solution for the three different types of expansion functions is developed using the Rayleigh-Ritz method.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2017-11-01. It has received 187 citations till now. The article focuses on the topics: Chebyshev polynomials & Orthogonal polynomials.read more
Citations
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Journal ArticleDOI
Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets
Yan Qing Wang,Chao Ye,Jean W. Zu +2 more
TL;DR: In this paper, a nonlinear vibration analysis of metal foam circular cylindrical shells reinforced with graphene platelets is performed, and the results demonstrate that GPL reinforced metal foam (GPLRMF) shells exhibit hardening-spring vibration characteristics.
Journal ArticleDOI
Free vibration analysis of rotating functionally graded CNT reinforced composite cylindrical shells with arbitrary boundary conditions
TL;DR: In this article, a general approach is provided for the free vibration analysis of rotating functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shells with arbitrary boundary conditions.
Journal ArticleDOI
A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions
TL;DR: In this paper, a unified method is developed to analyze free vibrations of laminated functionally graded shallow shells reinforced by graphene platelets (GPLs) under arbitrary boundary conditions is proposed.
Journal ArticleDOI
Nonlinear forced vibrations of functionally graded piezoelectric cylindrical shells under electric-thermo-mechanical loads
Yun Fei Liu,Zhaoye Qin,Fulei Chu +2 more
TL;DR: In this article, the authors developed a new solution approach to solve nonlinear forced vibrations of functionally graded (FG) piezoelectric shells in multi-physics fields.
Journal ArticleDOI
Influence of spring-mass systems on frequency behavior and critical voltage of a high-speed rotating cantilever cylindrical three-dimensional shell coupled with piezoelectric actuator:
TL;DR: In this paper, the vibrational behavior and critical voltage of a spinning cylindrical thick shell covered with piezoelectric actuator (PIAC) carrying spring-mass systems are investigated.
References
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Book
A treatise on the mathematical theory of elasticity
TL;DR: Webb's work on elasticity as mentioned in this paper is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity.
Book
Vibration of shells
Arthur W. Leissa,R. P. Nordgren +1 more
TL;DR: In this paper, the vibrational characteristics and mechanical properties of shell structures are discussed, including the fundamental equations of thin shell theory, the characteristics of thin circular cylindrical shells, the complicating effects of noncircular cylinders, the properties of spherical shells and the solution of three-dimensional equations of motion for cylinders.
Journal ArticleDOI
Comments on «natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method»
TL;DR: In this paper, a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method was used to obtain the natural frequencies of rectangular plates. But the results for lower modes were not as good as those obtained by other methods.
Journal ArticleDOI
Natural frequencies of rectangular plates using characteristic orthogonal polynomials in rayleigh-ritz method
TL;DR: In this article, a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method was used to obtain the natural frequencies of rectangular plates. But the results for lower modes were not as good as those obtained by other methods.
Journal ArticleDOI
Free vibrations of beams with general boundary conditions
TL;DR: In this paper, a simple and unified approach for the vibration analysis of a generally supported beam is presented, where the flexural displacement of the beam is sought as the linear combination of a Fourier series and an auxiliary polynomial function.