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|Title:||The Boundary Integral Equation Method for Torsion of an Inhomogeneous Variable Diameter Shaft|
|Department / Program:||Theoretical and Applied Mechanics|
|Discipline:||Theoretical and Applied Mechanics|
|Degree Granting Institution:||University of Illinois at Urbana-Champaign|
|Abstract:||A 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.
Stress concentration problems for the homogeneous U-grooved shaft, fillet shoulder shaft and the inhomogeneous U-grooved shaft with an axial hole are examined. Possible future studies are suggested.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.
|Date Available in IDEALS:||2014-12-16|
This item appears in the following Collection(s)
Dissertations and Theses - Theoretical and Applied Mechanics (TAM)
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois