Analysis of thermal post-buckling of heated elastic rods |
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Authors: | Li Shirong Professor Cheng Changjun |
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Institution: | (1) Department of Basic Science, Gansu University of Technology, 730050 Lanzhou, P R China;(2) Shanghai Institute of Applied Mathematics and Mechanics, 200072 Shanghai, P R China;(3) Department of Mechanics, Shanghai University, 200072 Shanghai, P R China |
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Abstract: | Based on the nonlinear geometric theory of extensible rods, an exact mathematical model of thermal post-buckling behavior
of uniformly heated elastic rods with axially immovable ends is developed, in which the arc length s(x) of axial line and
the longitudinal displacement u(x) are taken as the basic unknown functions. This is a two point boundary value problem of
first order ordinary differential equations with strong nonlinearity. By using shooting method and analytical continuation,
the nonlinear boundary value problems are numerically solved. The thermal post-buckled states of the rods with transversely
simply supported and clamped ends are obtained respectively and the corresponding numerical data tables and characteristic
curves are also given.
Foundation item: the Foundation of the Department of Education, Ministry of Machine Building
Biography: Li Shirong (1957-) |
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Keywords: | elastic straight rod thermal post_buckling nonlinear mathematical model shooting method numerical solution |
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