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Journal ArticleDOI

Vibrations of an elastically restrained cantilever beam of varying cross section with tip mass of finite length

P.A.A. Laura, +1 more
- 08 Jul 1986 - 
- Vol. 108, Iss: 1, pp 123-131
TLDR
In this paper, an approximate solution of the title problem is obtained by using the Rayleigh-Schmidt approach, which yields accurate engineering results which in the case of a uniform cantilever beam are in very good agreement with To's eigenvalues.
About
This article is published in Journal of Sound and Vibration.The article was published on 1986-07-08. It has received 67 citations till now. The article focuses on the topics: Cantilever & Cross section (physics).

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Citations
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Journal ArticleDOI

Vibrations of wind-turbines considering soil-structure interaction

TL;DR: In this article, a simplified approach for free vibration analysis of wind turbine towers taking the soil-structure interaction into account is presented, based on an Euler-Bernoulli beam-column with elastic end supports.
Journal ArticleDOI

Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method

TL;DR: In this paper, the free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions were dealt with using the Adomian modified decomposition method (AMDM).
Journal ArticleDOI

Nonlinear vibration of buckled beams: some exact solutions

TL;DR: In this paper, exact solutions for the dynamics of buckled beams with different types of end conditions are obtained by using Jacobi elliptic functions, and the natural frequencies are obtained for the nonlinear problem by using the modes of the corresponding linear problem.
Journal ArticleDOI

Free vibration of Timoshenko beam with finite mass rigid tip load and flexural–torsional coupling

TL;DR: In this paper, the free vibration of a cantilever Timoshenko beam with a rigid tip mass is analyzed, where the mass center of the attached mass need not be coincident with its attachment point to the beam.
Journal ArticleDOI

Free vibration of beams with finite mass rigid tip load and flexural-torsional coupling

TL;DR: In this article, the free vibration of an Euler-Bernoulli beam with a rigid tip mass whose center of gravity need not be coincident with its point of attachment to the beam is examined.
References
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Journal ArticleDOI

Vibration of a cantilever beam with a base excitation and tip mass

TL;DR: In this paper, the frequency and mode shapes of a cantilever beam with a base excitation and tip mass whose center of gravity does not coincide with the point of attachment are derived.
Journal ArticleDOI

Transverse vibrations of tapered beams

TL;DR: In this paper, the first three eigenfrequencies with different values of stiffness ratios (ratio of spring stiffness and beam stiffness at either end) and taper ratio are presented.
Journal ArticleDOI

Transverse vibrations of double‐tapered cantilever beams with end support and with end mass

TL;DR: In this article, the free vibrations of a double-tapered cantilever beam with (1) end support and (2) end mass have been investigated using the Bernoulli-Euler equation.
Journal ArticleDOI

Vibration Frequencies of Tapered Bars With End Mass

TL;DR: Extension des resultats pour une poutre cantilever aux effets d'une masse concentree a l'extremite libre de l'universelle conique as discussed by the authors.
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