A Caltech Library Service

Mode-Like Properties and Identification of Nonlinear Vibrating Systems


Huang, Liping (1995) Mode-Like Properties and Identification of Nonlinear Vibrating Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/707b-jf67.


A study is made of mode-like properties and identification of nonlinear systems and their applications in structural seismic analysis.

In the thesis, mode-like behavior of nonlinear systems is examined. The modal frequencies and mode shapes of nonlinear systems are found to be dependent on the response. Based on approximation, amplitude-dependent mode shape is defined and approximate methods for calculation of modal frequencies and mode shapes (instantaneous and amplitude-dependent) are presented. Based on amplitude-dependent modal relationship, amplitude-dependent models of modal equations which are valid in large range of response and suitable for unique identification are proposed and the corresponding modal identification procedures are developed. The applicability of the new models and identification algorithms is tested through the analysis of an ideal 3DOF nonlinear system.

As applications, the seismic responses of a 47-story building and a 4-story building are investigated using the presented methods. The modal parameters and modal equations of the structures are identified.

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.
Thesis Committee:
  • Iwan, Wilfred D. (chair)
  • Hall, John F.
  • Beck, James L.
  • Burdick, Joel Wakeman
  • Papadimitriou, Konstantinos
Defense Date:1 May 1995
Record Number:CaltechTHESIS:12012011-113838877
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6747
Deposited By: Benjamin Perez
Deposited On:01 Dec 2011 21:18
Last Modified:02 Dec 2020 02:23

Thesis Files

PDF - Final Version
See Usage Policy.


Repository Staff Only: item control page