Abstract
dc:description.abstractA method is developed to predict the critical harmonic excitation of systems undergoing nonlinear oscillations. The method is based on the total energy approach which limits the system responses within a region bounded by a critical total energy in the phase space. Three one-degree-of-freedom nonlinear systems are investigated. Their governing ordinary differential equations are associated with a quadratic nonlinearity and/or a cubic nonlinearity. The study also is extended to a two-degree-of-freedom nonlinear system. The harmonic balance method is the analytical technique used in solving the nonlinear ordinary differential equations. In comparison with the approximate analytical solutions, numerical approaches are implemented.
Degree
thesis:*- Name thesis:degree_name
- Master of Science
- Level thesis:degree_level
- masters
- Discipline thesis:degree_discipline
- Civil Engineering
- Department dc:contributor.department
- Civil Engineering
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 1990
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Cheng, Ching-Chuan
- Chair dc:contributor.committeechair
-
- Plaut, Raymond H.
- Committee members dc:contributor.committeemember
-
- Holzer, Siegfried M.
- Rojiani, Kamal B.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-04142009-040604
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/42077