The dynamics of a rigid foundation on the surface of an elastic half-space

1981 ◽  
Vol 9 (5) ◽  
pp. 501-515 ◽  
Author(s):  
H. R. Hamidzadeh-Eraghi ◽  
P. Grootenhuis
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Rigid Foundation

Dynamic Response of a Rigid Foundation Subjected to a Distance Blast

2012 ◽  
Author(s):  
Deji Ojetola ◽  
Hamid R. Hamidzadeh
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Integral Transform ◽  
Numerical Technique ◽  
Formal Solution ◽  
Elastic Half Space ◽  
Numerical Results ◽  
Rigid Foundation ◽  
Transform Method

Blasts and explosions occur in many activities that are either man-made or nature induced. The effect of the blasts could have a residual or devastating effect on the buildings at some distance within the vicinity of the explosion. In this investigation, an analytical solution for the time response of a rigid foundation subjected to a distant blast is considered. The medium is considered to be an elastic half space. A formal solution to the wave propagations on the medium is obtained by the integral transform method. To achieve numerical results for this case, an effective numerical technique has been developed for calculation of the integrals represented in the inversion of the transformed relations. Time functions for the vertical and radial displacements of the surface of the elastic half space due to a distant blast load are determined. Mathematical procedures for determination of the dynamic response of the surface of an elastic half-space subjected to the blast along with numerical results for displacements of a rigid foundation are provided.

Seismic response of multiple-story structures on flexible foundations

1969 ◽  
Vol 59 (3) ◽  
pp. 1061-1070
Author(s):  
Richard A. Parmelee ◽  
David S. Perelman ◽  
Seng-Lip Lee
Keyword(s):  
Seismic Response ◽  
Half Space ◽  
Dynamic Properties ◽  
Equations Of Motion ◽  
Elastic Half Space ◽  
Rigid Foundation ◽  
Flexural Response ◽  
Flexible Foundations ◽  
Constant Coefficients ◽  
Shear Buildings

abstract A method is presented for investigating the seismic response of multiple-story shear buildings on flexible elastic foundation media which are represented by an elastic half space. It is shown that the frequency dependent dynamic properties of the foundation medium may be assumed to be constant with respect to the frequency. This assumption leads to equations of motion with constant coefficients which are solved numerically. A study of several structure-foundation systems indicates that the flexibility of the foundation medium can increase or decrease the flexural response of the structure compared to the case of the rigid foundation.

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