Journal ArticleDOI
Exact frequency equations of free vibration of exponentially non-uniform functionally graded Timoshenko beams
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TLDR
In this article, the free vibration of non-uniform functionally graded beams is analyzed via the Timoshenko beam theory, where bending stiffness and distributed mass density are assumed to obey a unified exponential law.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2014-12-01. It has received 101 citations till now. The article focuses on the topics: Timoshenko beam theory & Vibration.read more
Citations
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Journal ArticleDOI
Nonlinear mechanics of electrically actuated microplates
Hamed Farokhi,Mergen H. Ghayesh +1 more
TL;DR: In this paper, the pull-in characteristics of a microplate-based microelectromechanical system (MEMS) are investigated via a multi-degree freedom energy-based technique where the in-plane and out-of-plane motions are retained in the modelling and simulations.
Journal ArticleDOI
Free vibration analysis of functionally graded Bernoulli-Euler beams using an exact transfer matrix expression
Jung Woo Lee,Jung Youn Lee +1 more
TL;DR: In this paper, an exact transfer matrix method was developed to analyze the free vibration characteristics of a functionally graded beam, which can be used to produce the natural frequencies and mode shapes for such problems in which material properties such as the elastic modulus and density are assumed to vary continuously along the height direction of the beam cross-section depending on a power-law form.
Journal ArticleDOI
Dynamic characteristics analysis of bi-directional functionally graded Timoshenko beams
TL;DR: In this article, the motion differential equations of the bi-directional functionally graded Timoshenko beam are established using Hamilton's principle using variable substitution method, and the influence of gradient parameters α, β on the fundamental frequency, mode shape and frequency response function is analyzed through the establishment of the dynamic stiffness matrix of the overall structure.
Journal ArticleDOI
Free vibration of functionally graded beams and frameworks using the dynamic stiffness method
TL;DR: In this paper, the free vibration analysis of functionally graded beams (FGBs) and frameworks containing FGBs is carried out by applying the dynamic stiffness method and deriving the elements of dynamic stiffness matrix in explicit algebraic form.
Journal ArticleDOI
State of the art in functionally graded materials
Vasavi Boggarapu,Raghavendra Gujjala,Shakuntla Ojha,Sk Acharya,P. Venkateswara babu,Somaiah Chowdary,Dheeraj K. Gara +6 more
TL;DR: In this article, an overview of the recent advancements in functionally graded materials (FGMs) research is presented, along with challenges involved in developing these materials towards various aspects of scientific and technological fields.
References
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Book
Vibration problems in engineering
TL;DR: In this article, the Probleme dynamique and Vibration were used for propagation of ondes reference records created on 2004-09-07, modified on 2016-08-08.
Journal ArticleDOI
Modeling and Analysis of Functionally Graded Materials and Structures
Victor Birman,Larry W. Byrd +1 more
TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
Journal ArticleDOI
Dynamics of transversely vibrating beams using four engineering theories
TL;DR: In this article, the full development and analysis of four models for the transversely vibrating uniform beam are presented, including the Euler-Bernoulli, Rayleigh, shear and Timoshenko models.
Journal ArticleDOI
An elasticity solution for functionally graded beams
TL;DR: In this article, an elasticity solution for a functionally graded beam subjected to transverse loads is obtained, where Young's modulus of the beam is assumed to vary exponentially through the thickness, and the Poisson ratio is held constant.
Journal ArticleDOI
A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams
TL;DR: In this article, a unified approach for analyzing the static and dynamic behaviors of functionally graded beams (FGB) with the rotary inertia and shear deformation included is presented, where all material properties are arbitrary functions along the beam thickness.
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A new approach for free vibration of axially functionally graded beams with non-uniform cross-section
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