Moving Line Load on an Elastic Medium with Horizontal Constraints

2002 ◽  
pp. 137-142
Author(s):  
Carlos Cornelo Córdova
Keyword(s):  
Elastic Medium ◽  
Line Load ◽  
Moving Line

Closed-Form Representation of Beam Response to Moving Line Loads

2000 ◽  
Vol 68 (2) ◽  
pp. 348-350 ◽  
Author(s):  
Lu Sun
Keyword(s):  
Closed Form ◽  
Moving Load ◽  
Closed Form Solution ◽  
Form Solution ◽  
Winkler Foundation ◽  
Line Load ◽  
State Response ◽  
Form Representation ◽  
Mach Numbers ◽  
Moving Line

Fourier transform is used to solve the problem of steady-state response of a beam on an elastic Winkler foundation subject to a moving constant line load. Theorem of residue is employed to evaluate the convolution in terms of Green’s function. A closed-form solution is presented with respect to distinct Mach numbers. It is found that the response of the beam goes to unbounded as the load travels with the critical velocity. The maximal displacement response appears exactly under the moving load and travels at the same speed with the moving load in the case of Mach numbers being less than unity.

Stresses Produced in a Half Plane by Moving Loads

1958 ◽  
Vol 25 (4) ◽  
pp. 433-436
Author(s):  
J. Cole ◽  
J. Huth
Keyword(s):  
Stress Field ◽  
Elastic Medium ◽  
Half Plane ◽  
Load Distribution ◽  
Wave Speed ◽  
Complete Solution ◽  
Moving Loads ◽  
Concentrated Load ◽  
Line Load ◽  
Wave Speeds

Abstract A study is made of stresses and displacements induced in an elastic half plane (plane strain) by a concentrated line load moving at a constant speed along its surface. The stress field for an arbitrary load distribution can be built up by superposition of these concentrated-load solutions. Three cases are considered: (a) The load is moving more slowly than either the longitudinal or transversal wave speeds of the elastic medium (subsonic case). (b) The load speed is between the two wave speeds (transonic case). (c) The load speed is greater than either wave speed (supersonic case). In each of these cases the nature of the singularity caused by the load is examined and the complete solution is given.

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