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University of Illinois at Urbana-Champaign
The Boundary Integral Equation Method for Torsion of an Inhomogeneous Variable Diameter Shaft
Abstract
dc:descriptionA Boundary Integral Equation (BIE) formulation is developed which is capable of analyzing the torsion of a variable diameter shaft with an axisymmetric shear modulus in a particular form. The governing differential equation for this problem is the equation of the Generalized Bi-axially Symmetric Potential Theory (GBSPT), and its fundamental solution can be obtained by considering the "ring of potential". Piecewise-quadratic shape functions are used for the approximations of the functions and the boundary. Gaussian quadrature with four Gaussian points are used for the numerical integration.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Theoretical and Applied Mechanics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Wu, Yensen
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8203643
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71667