A combined finite strip/finite element method for the analysis of partially prismatic thin-walled structures
A combined finite strip/finite element method for the analysis of partially prismatic thin-walled structures
In this thesis a new method is presented for the analysis of partially prismatic thin-walled structures containing non-prismatic components. The method, known as the `Mixed-Mode' method, combines the finite strip and finite element methods by discretising the prismatic part of the structure into finite strips and the non-prismatic parts into finite elements. Three types of non-prismatic component are considered; a transverse component, a longitudinal component and a spring support, the latter allowing multi-span structures to be analysed. The theory of the mixed-mode method is developed for linear static analysis and is thoroughly tested by analysing a series of representative structures. The equilibrium equations produced by the method are shown to possess a block structure corresponding to the harmonics of the finite strip discretisation. Advantage is taken of this in a block iterative solution procedure for the equilibrium equations. The efficiency of the iterative procedure is explored in a series of examples. The method is also used for dynamic analysis, specifically in a study of the free vibration problem. The method is again thoroughly tested by analysing a series of representative structures.
University of Southampton
1986
Walker, Brian David
(1986)
A combined finite strip/finite element method for the analysis of partially prismatic thin-walled structures.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
In this thesis a new method is presented for the analysis of partially prismatic thin-walled structures containing non-prismatic components. The method, known as the `Mixed-Mode' method, combines the finite strip and finite element methods by discretising the prismatic part of the structure into finite strips and the non-prismatic parts into finite elements. Three types of non-prismatic component are considered; a transverse component, a longitudinal component and a spring support, the latter allowing multi-span structures to be analysed. The theory of the mixed-mode method is developed for linear static analysis and is thoroughly tested by analysing a series of representative structures. The equilibrium equations produced by the method are shown to possess a block structure corresponding to the harmonics of the finite strip discretisation. Advantage is taken of this in a block iterative solution procedure for the equilibrium equations. The efficiency of the iterative procedure is explored in a series of examples. The method is also used for dynamic analysis, specifically in a study of the free vibration problem. The method is again thoroughly tested by analysing a series of representative structures.
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Published date: 1986
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Local EPrints ID: 461837
URI: http://eprints.soton.ac.uk/id/eprint/461837
PURE UUID: 2d4525f2-914b-4bfe-85b4-6a3cc95d32e6
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Date deposited: 04 Jul 2022 18:56
Last modified: 04 Jul 2022 18:56
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Author:
Brian David Walker
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