Journal ArticleDOI
Spectral finite element analysis of elastically connected double-beam systems
Jun Li,Hongxing Hua +1 more
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TLDR
In this article, a spectral finite element method for two parallel beams connected to each other by the vertical springs uniformly distributed along the beam length is introduced, where the effects of the shear deformation and rotary inertia of the beams are accounted for.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2007-11-01. It has received 51 citations till now. The article focuses on the topics: Spectral element method & Mixed finite element method.read more
Citations
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Nonlocal transverse vibration of double-nanobeam-systems
Tony Murmu,Sondipon Adhikari +1 more
TL;DR: In this article, an analytical method is developed for determining the natural frequencies of the non-local double-nanobeam-systems and explicit closed-form expressions for natural frequencies are derived for the case when all four ends are simply supported.
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Nonlocal elasticity based vibration of initially pre-stressed coupled nanobeam systems
Tony Murmu,Sondipon Adhikari +1 more
TL;DR: In this paper, an analytical method is proposed to obtain natural frequencies of the nonlocal double-nanobeam-system (NDNBS) under initial compressive pre-stressed condition.
Journal ArticleDOI
Dynamical behavior of a double-beam system interconnected by a viscoelastic layer
TL;DR: In this paper, a semi-analytical method was proposed to investigate the natural frequencies and mode shapes of a double-beam system interconnected by a viscoelastic layer, and a specific orthogonality condition was derived to decouple the differential equations of motion.
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Forced transverse vibration of Rayleigh and Timoshenko double-beam system with effect of compressive axial load
TL;DR: In this paper, the effects of compressive axial load on the forced vibrations of a Rayleigh and Timoshenko double-beam system are discussed for three cases of particular excitation loadings.
Journal ArticleDOI
Analytical and numerical method for free vibration of double-axially functionally graded beams
TL;DR: In this article, free vibration analysis of two different double-beam systems is presented, where the ends of the beams are elastically restrained against translation and rotation by a mass-spring system.
References
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Book
Numerical Analysis
TL;DR: This report contains a description of the typical topics covered in a two-semester sequence in Numerical Analysis, and describes the accuracy, efficiency and robustness of these algorithms.
Book
Spectral Element Method in Structural Dynamics
TL;DR: In this paper, the authors present a theoretical analysis of the Spectral Element Method and Spectral Analysis of Signals (SAM) in terms of the following: 1.1 Fourier Series. 2.2 Discrete Fourier Transform and FFT. 3.3 Aliasing. 4.4 Reduction from the Finite Models.
Journal ArticleDOI
Free Transverse Vibrations of Elastically Connected Simply Supported Double-Beam Complex System
TL;DR: In this article, the free vibration analysis of two simply supported beams continuously joined by a Winkler elastic layer is presented, where the motion of the system is described by a homogeneous set of two partial differential equations, which is solved by using the classical Bernoulli-Fourier method.
Journal ArticleDOI
Vibration of a double-beam system
TL;DR: In this paper, an exact method for solving the vibration of a double-beam system subject to harmonic excitation is presented, which involves a simple change of variables and modal analysis to decouple and to solve the governing differential equations respectively.
Journal ArticleDOI
Forced transverse vibrations of an elastically connected complex simply supported double-beam system
TL;DR: In this paper, an analysis of the undamped forced transverse vibrations of an elastically connected complex double-beam system is presented, where the classical modal expansion method is applied to ascertain dynamic responses of beams due to arbitrarily distributed continuous loads.