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Dynamic Response of a Partially Embedded Bar Under Transverse Excitations


Pak, Ronald Y.S. (1985) Dynamic Response of a Partially Embedded Bar Under Transverse Excitations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/pp2r-fc10.


This dissertation is concerned with the dynamic response of a finite flexible bar partially embedded in a half-space, under transverse loadings. The loadings are applied at the unembedded end of the bar and may, in general, be a combination of time-harmonic shear and moment. The problem is intended to serve as a fundamental idealization for the dynamic analysis of piles or other embedded foundations whose flexibilities are not negligible.

By treating the bar as a one-dimensional structure and the half-space as a three-dimensional elastic continuum, the interaction problem is formulated as a Fredholm integral equation of the second kind. The essential tool required in the formulation is a group of Green's functions which describe the response of an elastic half-space to a finite, distributed, buried source which acts in the lateral direction. By means of a technique developed for a class of three-dimensional asymmetric wave propagation problems, the Green's functions are derived as integral representations. A numerical procedure for the computation of the semi-infinite Hankel-type integrals involved is presented which is free of the basic difficulties commonly encountered in such problems. Owing to the special nature of the kernel function, a numerical scheme which contains the essence of quadrature and collocation techniques is developed for the solution of the governing integral equation. Selected results for the interaction problem are presented to illustrate various basic features of the solution. In addition to furnishing the compliance functions commonly used in soil-structure interaction studies, the solution should prove useful in providing a basis for the assessment and improvement of approximate and numerical models currently employed for such analyses.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mechanics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Jennings, Paul C.
Group:Earthquake Engineering Research Laboratory
Thesis Committee:
  • Jennings, Paul C. (chair)
  • Knowles, James K.
  • Sternberg, Eli
  • Scott, Ronald F.
  • Wu, Theodore Yao-tsu
Defense Date:14 May 1985
Other Numbering System:
Other Numbering System NameOther Numbering System ID
EERL Report85-04
Funding AgencyGrant Number
Record Number:CaltechTHESIS:01222019-152401456
Persistent URL:
Related URLs:
URLURL TypeDescription ItemTechnical Report EERL 85-04 in CaltechAUTHORS
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11355
Deposited By: Mel Ray
Deposited On:25 Jan 2019 16:36
Last Modified:04 Jun 2024 23:53

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