Journal ArticleDOI
Nonlinear free vibrations of multispan beams on elastic supports
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TLDR
In this article, a numerical solution for geometrically nonlinear free vibrations of multispan beams on elastic supports is presented, where the horizontally and rotary inertia forces have been neglected and the beams are considered as distributed mass systems.About:
This article is published in Computers & Structures.The article was published on 1989-01-01. It has received 18 citations till now. The article focuses on the topics: Rotary inertia & Finite element method.read more
Citations
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Computational formulation for periodic vibration of geometrically nonlinear structures—part 2: Numerical strategy and examples
TL;DR: In this paper, the numerical strategy for solving the matrix amplitude equation with parameter is discussed in detail, which is the result of application of the Galerkin method for analysis of periodic solutions of the geometrically nonlinear structures.
Journal ArticleDOI
Nonlinear Vibration of Plane Structures by Finite Element and Incremental Harmonic Balance Method
S.H. Chen,Y.K. Cheung,H. X. Xing +2 more
TL;DR: In this article, a nonlinear steady state vibration analysis of a wide class of planestructures is analyzed using finite element method and incremental harmonic balance method, where the usual beam element is adopted in which the nonlinear effect arising from longitudinal stretching has been taken into account based on the geometric nonlinear finite elementanalysis, the non linear dynamic equations including quadratic and cubic nonlinearities are derived These equations are solved by the Incremental harmonic balance (IHB) method.
Journal ArticleDOI
Nonlinear dynamic analysis of Timoshenko beam-columns partially supported on tensionless Winkler foundation
TL;DR: In this paper, a boundary element method is developed for the nonlinear dynamic analysis of beam-columns of arbitrary doubly symmetric simply or multiply connected constant cross section, partially supported on tensionless Winkler foundation, undergoing moderate large deflections under general boundary conditions, taking into account the effects of shear deformation and rotary inertia.
Journal ArticleDOI
Nonlinear vibrations of spring-supported axially moving string
TL;DR: In this article, a multi-supported axially moving string is discussed and a support located at the ends of the string is simple supports, while the support located in the middle section owns the features of a spring.
Journal ArticleDOI
Non-Linear Transverse Vibrations and 3:1 Internal Resonances of a Tensioned Beam on Multiple Supports
TL;DR: In this paper, nonlinear transverse vibrations of a tensioned Euler-Bernoulli beam resting on multiple supports are investigated, where the immovable end conditions due to simple supports cause stretching of neutral axis and introduce cubic nonlinearity to the equations of motion.
References
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Journal ArticleDOI
The Effect of an Axial Force on the Vibration of Hinged Bars
TL;DR: In this paper, it was shown that the vibration of an extensible bar, carrying no transverse load and having the ends fixed at the supports, causes an axial tensile force with a period equal to the half-period of the vibration.
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Nonlinear vibrations of beams with various boundary conditions.
TL;DR: Amplitude frequency relations of nonlinear vibrations in uniform beams with various boundary conditions using perturbation method was studied in this paper, where the amplitude frequency relations were obtained for uniform beams.
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Finite element displacement method for large amplitude free flexural vibrations of beams and plates
TL;DR: In this article, a finite element method to determine the nonlinear frequency of beams and plates for large amplitude free vibrations is presented, which is characterized by the basic stiffness, mass, geometrical stiffness and the associated inplane force matrices.
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Finite element formulation for the large amplitude free vibrations of beams and orthotropic circular plates
TL;DR: In this paper, a finite element formulation for large amplitude free oscillations of beams and orthotropic circular plates is presented, which does not need the knowledge of longitudinal/inplane forces developed due to large displacements and thus avoids the use of corresponding geometric stiffness matrices.
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Effect of longitudinal or inplane deformation and inertia on the large amplitude flexural vibrations of slender beams and thin plates
TL;DR: In this paper, the effect of longitudinal or inplane deformation and inertia on the flexural frequency-amplitude relationship was investigated for the case of thin and circular plates.