VIBRATION RESPONSE OF STRUCTURE RESTING ON AN ELASTIC HALF-SPACE

Abstract

In this paper, the vibration response of the structure on the infinite elastic soil mediumwas investigated by using the ground compliance of the rectangular foundation. And so it isassumed that the cross-sectional area of the structure is rectangular and the structure is excit-ed by the propagation of the progressive shear and dilatation waves. The vibration responsesof the structure in the following cases, are studied here.1. Forced vibration of the rectangular rigid foundation.2. Vertical vibration of the rigid foundation.3. Horizontal and rocking vibration of the rigid foundation.4. Horizontal and rocking vibration of the multi-story structure.5. Shear and rocking vibration of the elastic contineous structure.6. Bending and rocking vibration of the elastic contineous structure.As the results, it is generally pointed out that the magnification factor and phase differencein the displacement responses between the top and bottom of the structure are expressed as thesame formula for a specific vibration mode of the structure excited by the propagation of thepure dilatation and shear waves. Accordingly the numerical results of the horizontal vibrationresponse of the elastic structure show the same property within the considerable frequencyrange of the shear wave.