scholarly journals Dynamic response of Timoshenko beam under moving mass

2012 ◽  
Author(s):  
S. Eftekhar Azam ◽  
M. Mofid ◽  
R. Afghani Khoraskani
Keyword(s):  
Dynamic Response ◽  
Timoshenko Beam ◽  
Moving Mass

Dynamic response of a non-uniform Timoshenko beam, subjected to moving mass

2014 ◽  
Vol 229 (14) ◽  
pp. 2499-2513 ◽  
Author(s):  
Davod Roshandel ◽  
Massood Mofid ◽  
Amin Ghannadiasl
Keyword(s):  
Dynamic Response ◽  
Timoshenko Beam ◽  
Expansion Method ◽  
Mode Shapes ◽  
Natural Mode ◽  
Moving Mass ◽  
Orthonormal Polynomial ◽  
Eigenfunction Expansion Method ◽  
Polynomial Series ◽  
Series Expansion Method

In this article, the dynamic response of a non-uniform Timoshenko beam acted upon by a moving mass is extensively investigated. To this end, the eigenfunction expansion method is adapted to the problem, employing the natural mode shapes of a uniform Timoshenko beam. Moreover, the orthonormal polynomial series expansion method is successfully applied to the coupled set of governing differential equations pertaining to the dynamic behavior of non-uniform Timoshenko beam actuated by a moving mass. Some numerical examples are solved in which the excellent agreement of the two presented methods is illustrated.

scholarly journals Nonlinear Dynamic Analysis of a Timoshenko Beam Resting on a Viscoelastic Foundation and Traveled by a Moving Mass

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmad Mamandi ◽  
Mohammad H. Kargarnovin
Keyword(s):  
Dynamic Response ◽  
Timoshenko Beam ◽  
Nonlinear Dynamic Analysis ◽  
Dynamic Responses ◽  
Moving Mass ◽  
Viscoelastic Foundation ◽  
Cross Sectional ◽  
Nonlinear Viscoelastic ◽  
Fixed End ◽  
Traveling Mass

The dynamic response of a Timoshenko beam with immovable ends resting on a nonlinear viscoelastic foundation and subjected to motion of a traveling mass moving with a constant velocity is studied. Primarily, the beam’s nonlinear governing coupled PDEs of motion for the lateral and longitudinal displacements as well as the beam’s cross-sectional rotation are derived using Hamilton’s principle. On deriving these nonlinear coupled PDEs the stretching effect of the beam’s neutral axis due to the beam’s fixed end conditions in conjunction with the von-Karman strain-displacement relations is considered. To obtain the dynamic responses of the beam under the act of a moving mass, derived nonlinear coupled PDEs of motion are solved by applying Galerkin’s method. Then the beam’s dynamic responses are obtained using mode summation technique. Furthermore, after verification of our results with other sources in the literature a parametric study on the dynamic response of the beam is conducted by changing the velocity of the moving mass, damping coefficient, and stiffnesses of the foundation including linear and cubic nonlinear parts, respectively. It is observed that the inclusion of geometrical and foundation stiffness nonlinearities into the system in presence of the foundation damping will produce significant effect in the beam’s dynamic response.

Effects of Moving Speeds of Dynamic Loads on the Deflections of Gear Teeth

1981 ◽  
Vol 103 (2) ◽  
pp. 357-363 ◽  
Author(s):  
K. Nagaya ◽  
S. Uematsu
Keyword(s):  
Dynamic Response ◽  
Timoshenko Beam ◽  
Gear Tooth ◽  
Bending Moment ◽  
Dynamic Loads ◽  
Gear Teeth ◽  
Moving Speed

For the dynamic response problems of gear teeth, the dynamic loads which act upon the gear teeth should be considered as a function of both the position and the moving speed. In previous studies, the effects of the moving speed have not been considered. In this paper the effects of the moving speed of dynamic loads on the deflection and the bending moment of the gear tooth are investigated. The results are obtained from the elastodynamic analysis of the tapered Timoshenko beam.

Dynamic response of systems subject to moving mass excitations

1969 ◽  
Vol 287 (4) ◽  
pp. 319-331 ◽  
Author(s):  
M.H. Skeer ◽  
J.A. Hribar
Keyword(s):  
Dynamic Response ◽  
Moving Mass
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