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Transient response of non-linear spring-mass systems

Citation

Ergin, Erdem I. (1954) Transient response of non-linear spring-mass systems. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-12032003-092544

Abstract

The purpose of this thesis is:

1) To investigate the applicability and to compare the accuracy of existing perturbation methods of non-linear mechanics for the solution of transient response problems, and

2) To describe a new analytical approximate method for the solution of certain types of non-linear problems involving pulse excitation. This new method combines the advantages of engineering accuracy with ease of applicability.

In the course of this study it is found that the solution of homogeneous non-linear equations can be obtained readily and with sufficient accuracy by the perturbation methods of Kryloff and Bogoliuboff or Lindstedt, even for large nonlinearities. Greater accuracy can be attained by the use of the newly developed bi-linear approximation. The advantage of the bi-linear method becomes more pronounced when the step function or the single pulse response of the system is investigated. It is shown that the bi-linear method is the only convenient analytical approximate method available for the solution of general pulse excitation problems involving non-linear spring-mass systems.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Mechanical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Hudson, Donald E.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1954
Record Number:CaltechETD:etd-12032003-092544
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-12032003-092544
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4730
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:04 Dec 2003
Last Modified:26 Dec 2012 03:11

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