Dynamic response of a Timoshenko beam on a tensionless Pasternak foundation

2011 ◽  
Vol 37 (5) ◽  
pp. 489-507 ◽  
Author(s):  
Irfan Coskun ◽  
Hasan Engin ◽  
Ayfer Tekin
Keyword(s):  
Dynamic Response ◽  
Timoshenko Beam ◽  
Pasternak Foundation

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.

SECOND SPECTRUM OF TIMOSHENKO BEAM ON PASTERNAK FOUNDATION

2017 ◽  
Author(s):  
Wallison Kennedy da Silva Bezerra ◽  
Lucas Silva Soares ◽  
Simone dos Santos Hoefel
Keyword(s):  
Timoshenko Beam ◽  
Pasternak Foundation ◽  
Second Spectrum

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.

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