A Caltech Library Service

The Response of Stick-Slip Systems to Random Seismic Excitation


Moser, Michael Anthony (1987) The Response of Stick-Slip Systems to Random Seismic Excitation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ntjg-hg45.


This thesis examines the response of stick-slip, or frictional, systems to harmonic and random excitation. Two frictional models are considered: constant slip force, or Coulomb, friction, and displacement dependent slip force, used to model a caster, or pivoting wheel. The response to harmonic excitation of systems exhibiting both frictional models is determined using the method of slowly varying parameters. Changes in the response amplitude of both systems caused by the addition of a linear centering mechanism are also examined.

The response of the system with displacement dependent slip force is examined under Gaussian mean zero white noise excitation using the generalized equivalent linearization method. It is shown that a lower bound is obtained from the Coulomb friction system's response.

For filtered random excitation, linearization methods are shown to predict erroneous displacement trends for the Coulomb system when the input has no spectral content at zero frequency. When the excitation is modeled as a Poisson pulse process, an approximate method exhibiting the proper displacement trends can be constructed. The method is shown to be accurate over a broad range of input parameters if overlaps in the input pulses are considered. A set of excitation parameters consistent with seismic events is then used to estimate final rms displacements as a function of coefficient of friction.

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):
  • Iwan, Wilfred D.
Group:Earthquake Engineering Research Laboratory
Thesis Committee:
  • Iwan, Wilfred D. (chair)
  • Caughey, Thomas Kirk
  • Knowles, James K.
  • Beck, James L.
  • Hall, John F.
Defense Date:29 September 1986
Other Numbering System:
Other Numbering System NameOther Numbering System ID
EERL Report86-03
Funding AgencyGrant Number
Record Number:CaltechTHESIS:04122019-165004448
Persistent URL:
Related URLs:
URLURL TypeDescription ItemTechnical Report EERL 86-03 in CaltechAUTHORS
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11457
Deposited By: Mel Ray
Deposited On:15 Apr 2019 15:20
Last Modified:23 Aug 2021 22:48

Thesis Files

PDF - Final Version
See Usage Policy.


Repository Staff Only: item control page