Steady solutions for a moving load on an elastic strip resting on an elastic half plane

1981 ◽  
Vol 18 (1) ◽  
pp. 17
Author(s):  
G.G. Adams
Keyword(s):  
Half Plane ◽  
Moving Load ◽  
Elastic Strip ◽  
Steady Solutions

Moving Load on a Laminated Composite

1974 ◽  
Vol 41 (3) ◽  
pp. 663-667 ◽  
Author(s):  
C. Sve ◽  
G. Herrmann
Keyword(s):  
Dynamic Response ◽  
Half Plane ◽  
Moving Load ◽  
Formal Solution ◽  
Laminated Composite ◽  
Laplace Transforms ◽  
Layered Material ◽  
Effective Stiffness ◽  
Far Field ◽  
Numerical Examples

A solution is presented for the dynamic response of a periodically laminated half plane that consists of alternating layers of two different materials and is subjected to a moving load. The laminations are parallel to the surface of the half plane, and the velocity of the load is steady and supersonic. An effective stiffness theory developed by Sun, Achenbach, and Herrmann is used to model the layered material, and the formal solution is obtained with the aid of Laplace transforms. A far-field solution is constructed with the head-of-the-pulse procedure, and several numerical examples are presented.

Critical behaviour of a Timoshenko beam-half plane system under a moving load

1998 ◽  
Vol 68 (3-4) ◽  
pp. 158-168 ◽  
Author(s):  
A. S. J. Suiker ◽  
R. de Borst ◽  
C. Esveld
Keyword(s):  
Half Plane ◽  
Timoshenko Beam ◽  
Moving Load ◽  
Critical Behaviour ◽  
Plane System

The critical speed of a moving load on a prestressed plate resting on a prestressed half-plane

2007 ◽  
Vol 43 (2) ◽  
pp. 173-182 ◽  
Author(s):  
S. D. Akbarov ◽  
C. Güler ◽  
E. Dincsoy
Keyword(s):  
Half Plane ◽  
Critical Speed ◽  
Moving Load

scholarly journals Hydroelastic solitary waves in deep water

2011 ◽  
Vol 679 ◽  
pp. 628-640 ◽  
Author(s):  
PAUL A. MILEWSKI ◽  
J.-M. VANDEN-BROECK ◽  
ZHAN WANG
Keyword(s):  
Solitary Waves ◽  
Small Amplitude ◽  
Moving Load ◽  
Ice Sheets ◽  
Phase Speed ◽  
Elastic Model ◽  
Periodic Waves ◽  
Minimum Phase ◽  
Steady Solutions ◽  
Nonlinear Elastic

The problem of waves propagating on the surface of a two-dimensional ideal fluid of infinite depth bounded above by an elastic sheet is studied with asymptotic and numerical methods. We use a nonlinear elastic model that has been used to describe the dynamics of ice sheets. Particular attention is paid to forced and unforced dynamics of waves having near-minimum phase speed. For the unforced problem, we find that wavepacket solitary waves bifurcate from nonlinear periodic waves of minimum speed. When the problem is forced by a moving load, we find that, for small-amplitude forcing, steady responses are possible at all subcritical speeds, but for larger loads there is a transcritical range of forcing speeds for which there are no steady solutions. In unsteady computations, we find that if the problem is forced at a speed in this range, very large unsteady responses are obtained, and that when the forcing is released, a solitary wave is generated. These solitary waves appear stable, and can coexist within a sea of small-amplitude waves.

An Elastic Strip Pressed Against an Elastic Half Plane by a Steadily Moving Force

1978 ◽  
Vol 45 (1) ◽  
pp. 89-94 ◽  
Author(s):  
G. G. Adams
Keyword(s):  
Plane Strain ◽  
Half Plane ◽  
Mixed Boundary ◽  
Contact Region ◽  
Theory Of Elasticity ◽  
Strain Theory ◽  
Fredholm Integral Equations ◽  
Elastic Strip ◽  
Concentrated Force ◽  
Moving Force

An infinite elastic strip is pressed against an elastic half plane of a different material by a steadily moving concentrated force. Using the plane strain theory of elasticity, it is shown that the problem can be decomposed into its symmetric and antisymmetric parts. These mixed boundary-value problems are then solved by reduction to Fredholm integral equations subject to certain other conditions. For various material combinations, and a range of speed, the extent and location of the contact region as well as the contact pressure will be computed and illustrated graphically.

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