Traveling Force on a Timoshenko Beam

1965 ◽  
Vol 32 (2) ◽  
pp. 351-358 ◽  
Author(s):  
A. L. Florence
Keyword(s):  
Laplace Transform ◽  
Timoshenko Beam ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Concentrated Load ◽  
Infinite Beam ◽  
Wave Velocities ◽  
Shear Wave Velocities ◽  
Wave Solutions ◽  
The Laplace Transform

Wave solutions are obtained by the Laplace-transform method for a semi-infinite beam subjected to a concentrated load moving at a velocity which may be supersonic, intersonic, or subsonic with respect to the bending and shear-wave velocities of the beam. Curves are drawn showing the velocity distribution behind a load moving supersonically.

Timoshenko Beam Dynamics

1971 ◽  
Vol 38 (3) ◽  
pp. 591-594 ◽  
Author(s):  
G. M. Anderson
Keyword(s):  
Laplace Transform ◽  
Timoshenko Beam ◽  
General Problem ◽  
Beam Dynamics ◽  
Time Dependent ◽  
Residue Theorem ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Beam Analysis ◽  
The Laplace Transform

The general problem of Timoshenko beam analysis is solved using the Laplace transform method. Time-dependent boundary and normal loads are considered. It is established that the integrands of the inversion integrals are always single-valued for beams of finite length and modal solutions can always be obtained using the residue theorem.

Dynamic Rate Effects on Timoshenko Beam Response

1985 ◽  
Vol 52 (2) ◽  
pp. 439-445 ◽  
Author(s):  
T. J. Ross
Keyword(s):  
Timoshenko Beam ◽  
Bending Moment ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Rate Effects ◽  
The Laplace Transform ◽  
Step Loading ◽  
Fixed End ◽  
Constitutive Formulation ◽  
Viscoelastic Timoshenko Beam

The problem of a viscoelastic Timoshenko beam subjected to a transversely applied step-loading is solved using the Laplace transform method. It is established that the support shear force is amplified more than the support bending moment for a fixed-end beam when strain rate influences are accounted for implicitly in the viscoelastic constitutive formulation.

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