A new analytical method to calculate critical velocity for an infinite Bernoulli–Euler beam on a winkle-type elastic foundation subjected to a harmonic moving load

2014 ◽  
Author(s):  
Bin Zhen ◽  
Wei Luo
Keyword(s):  
Elastic Foundation ◽  
Critical Velocity ◽  
Analytical Method ◽  
Moving Load ◽  
Euler Beam

Steady-State Vibrations of Beam on Elastic Foundation for Moving Load

1954 ◽  
Vol 21 (4) ◽  
pp. 359-364
Author(s):  
J. T. Kenney
Keyword(s):  
Steady State ◽  
Elastic Foundation ◽  
Critical Velocity ◽  
Constant Velocity ◽  
Analytic Solution ◽  
Moving Load ◽  
Viscous Damping ◽  
Beam On Elastic Foundation ◽  
Bending Waves ◽  
Free Bending

Abstract This paper presents an analytic solution and resonance diagrams for a constant-velocity moving load on a beam on an elastic foundation including the effect of viscous damping. The limiting cases of no damping and critical damping are investigated. The possible velocities for the propagation of free bending waves are found and their relation to the critical velocity of the beam is studied.

Dynamics of a beam on a bilinear elastic foundation under harmonic moving load

2018 ◽  
Vol 229 (10) ◽  
pp. 4141-4165 ◽  
Author(s):  
Diego Froio ◽  
Egidio Rizzi ◽  
Fernando M. F. Simões ◽  
António Pinto Da Costa
Keyword(s):  
Elastic Foundation ◽  
Moving Load

scholarly journals An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Mustafa Özgür Yayli ◽  
Murat Aras ◽  
Süleyman Aksoy
Keyword(s):  
Elastic Foundation ◽  
Analytical Method ◽  
Vibration Analysis ◽  
Beam On Elastic Foundation ◽  
Fourier Sine Series ◽  
Governing Differential Equation ◽  
General Frequency ◽  
Elastically Restrained ◽  
Foundation Parameters ◽  
Euler Bernoulli Beam

An efficient analytical method for vibration analysis of a Euler-Bernoulli beam on elastic foundation with elastically restrained ends has been reported. A Fourier sine series with Stoke’s transformation is used to obtain the vibration response. The general frequency determinant is developed on the basis of the analytical solution of the governing differential equation for all potential solution cases with rigid or restrained boundary conditions. Numerical analyses are performed to investigate the effects of various parameters, such as the springs at the boundaries to examine how the elastic foundation parameters affect the vibration frequencies.

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