Masters Theses

Abstract

"An approximate method for the solution of thermal stress problems is presented. The method makes use of polynomial approximations to reduce the partial differential equation to a system of linear algebraic equations or a set of first-order ordinary differential equations. This results in satisfying the differential equation at a finite number of stations. The boundary conditions are satisfied identically. Two examples of the method, presented in detail, indicate that the solutions of the biharmonic equation for the stress function and the Fourier equation for the temperature distribution have good accuracy with a minimum of labor. A generalized method is derived for solving two-dimensional thermal-stress problems"--Abstract, page ii.

Advisor(s)

Lehnhoff, T. F., 1939-

Committee Member(s)

Parry, Myron G.
Keith, Harold D. (Harold Dean), 1941-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1970

Pagination

ix, 41 pages

Note about bibliography

Includes bibliographical references.

Rights

© 1970 Jaw-Kuang Wang, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Thermal stresses -- Computer programsCollocation methodsElasticity -- Mathematical modelsStrength of materials -- Mathematical models

Thesis Number

T 2433

Print OCLC #

6024838

Electronic OCLC #

858683115

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