Dynamic response of a beam on elastic foundation of finite depth under a moving force

1993 ◽  
Vol 96 (1-4) ◽  
pp. 67-83 ◽  
Author(s):  
O. R. Jaiswal ◽  
R. N. Iyengar
Keyword(s):  
Dynamic Response ◽  
Elastic Foundation ◽  
Finite Depth ◽  
Moving Force ◽  
Beam On Elastic Foundation

Dynamic Response of Prestressed Rayleigh Beam Resting on Elastic Foundation and Subjected to Masses Traveling at Varying Velocity

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
S. T. Oni ◽  
B. Omolofe
Keyword(s):  
Dynamic Response ◽  
Elastic Foundation ◽  
Resonance Effect ◽  
Transverse Displacement ◽  
Rotatory Inertia ◽  
Perfect Agreement ◽  
Rayleigh Beam ◽  
Moving Force ◽  
Concentrated Masses ◽  
Vibrating Systems

In this study, the dynamic response of axially prestressed Rayleigh beam resting on elastic foundation and subjected to concentrated masses traveling at varying velocity has been investigated. Analytical solutions representing the transverse-displacement response of the beam under both concentrated forces and masses traveling at nonuniform velocities have been obtained. Influence of various parameters, namely, axial force, rotatory inertia correction factor, and foundation modulus on the dynamic response of the dynamical system, is investigated for both moving force and moving mass models. Effects of variable velocity on the vibrating system have been established. Furthermore, the conditions under which the vibrating systems will experience resonance effect have been established. Results arrived at in this paper are in perfect agreement with existing results.

Dynamic response of an orthogonal cable network subjected to a moving force

1992 ◽  
Vol 156 (2) ◽  
pp. 337-347
Author(s):  
Y.K. Cheung ◽  
H.C. Chan ◽  
C.W. Cai
Keyword(s):  
Dynamic Response ◽  
Cable Network ◽  
Moving Force

scholarly journals Multi-moving Loads Induced Vibration of FG Sandwich Beams Resting on Pasternak Elastic Foundation

2021 ◽  
Vol 18 (9) ◽  
Author(s):  
Wachirawit SONGSUWAN ◽  
Monsak PIMSARN ◽  
Nuttawit WATTANASAKULPONG
Keyword(s):  
Dynamic Response ◽  
Elastic Foundation ◽  
Excitation Frequency ◽  
Beam Theory ◽  
Equation Of Motion ◽  
Functionally Graded ◽  
Sandwich Beams ◽  
Moving Loads ◽  
Layer Thickness Ratio ◽  
Pasternak Elastic Foundation

The dynamic behavior of functionally graded (FG) sandwich beams resting on the Pasternak elastic foundation under an arbitrary number of harmonic moving loads is presented by using Timoshenko beam theory, including the significant effects of shear deformation and rotary inertia. The equation of motion governing the dynamic response of the beams is derived from Lagrange’s equations. The Ritz and Newmark methods are implemented to solve the equation of motion for obtaining free and forced vibration results of the beams with different boundary conditions. The influences of several parametric studies such as layer thickness ratio, boundary condition, spring constants, length to height ratio, velocity, excitation frequency, phase angle, etc., on the dynamic response of the beams are examined and discussed in detail. According to the present investigation, it is revealed that with an increase of the velocity of the moving loads, the dynamic deflection initially increases with fluctuations and then drops considerably after reaching the peak value at the critical velocity. Moreover, the distance between the loads is also one of the important parameters that affect the beams’ deflection results under a number of moving loads.

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