Horizontal dynamic equivalent rigidity of foundation beam on elastic half space

Abstract

Abstract: Based on the basic equation of elastodynamics and taking into account the dynamic interaction between elastic beam and elastic half-space, a mechanical analysis model is established. An analytical expression of horizontal dynamic equivalent stiffness of an elastic half-space foundation beam is obtained by using Fourier integral transformation. The variation of horizontal dynamic equivalent stiffness and damping of the elastic foundation beam is analyzed respectively by numerical examples. The results show that the horizontal dynamic stiffness and damping coefficient of the elastic foundation beam are not constant, but are related to phase velocity of the elastic foundation beam. When the phase velocity is equal to velocity of Rayleigh wave, the horizontal dynamic equivalent stiffness reaches the peak, and the longitudinal vibration of the elastic foundation beam transfers the maximum energy to the elastic half-space. The horizontal dynamic equivalent stiffness of the elastic foundation beam is closely related to the frequency and number of waves in the beam. With increase of wave number, the real and imaginary parts of the horizontal dynamic equivalent stiffness increase accordingly.

Key words: elastic half space, Euler-Bernoulli beam, Fourier integral transformation, horizontal dynamic equivalent stiffness

CLC Number:

TU311
TU470

WANG Xue, ZHOU Feng-xi. Horizontal dynamic equivalent rigidity of foundation beam on elastic half space[J]. Journal of Lanzhou University of Technology, 2020, 46(5): 113-117.

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