University of Illinois at Urbana-Champaign
Some Closure Problems in Stochastic Dynamics of Solids (Process, Random Vibration, Cumulant-Neglect, Crack Propagation, Earthquake)
Abstract
dc:descriptionIn the studying of a nonlinear system under random excitation, it is usually difficult to determine the probability density of the system response. On the other hand, the equations for the statistical moments can be formulated rather easily, except that these equations form an infinite hierarchy rendering an exact solution impossible. A closure procedure is then needed to truncate the infinite hierarchy and to solve for some of the moments approximately. Several closure schemes are discussed in the context, particularly the cumulant-neglect closure. Emphasis is put on the applications of these closure schemes to several stochastic dynamics problems rather than theoretical development of these schemes.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Aeronautical and Astronautical Engineering
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Wu, Wen-Fang
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8600351
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/70633