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Abstract According to the linear theory of thermoelastic materials with voids, a mathematical model of dynamic response analysis of a thermoelastic foundation with voids subjected to a moving periodic loading is established, and the six kinds of necessary periodic boundary conditions on the periodic boundary are presented to analyze the dynamic response of the foundation, namely, (1)the displacements are equal; (2)the stresses are equal; (3)the volume fraction of voids and its derivative along the normal direction are equal; (4)the temperature and its derivative along the normal direction are equal. On this basis, the differential quadrature method (DQM) and the backward difference scheme are applied to discretize the governing equations on the spatial and temporal domains, respectively. As numerical examples, the dynamic response of a thermoelastic foundation with voids subjected to a plane moving periodic load is analyzed, and also the dynamic characteristics of the foundation under a limit moving vehicle load are studied. The effects of the vehicle velocity on the settlement, the volume fraction and temperature are considered. One can see that the DQM presented in this paper has advantages in solving the problems with periodic boundary conditions, such as high accuracy, efficiency, and good convergence.
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Received: 22 December 2010
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2012, Vol. 33 
