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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50437

Title: Static Analysis of the Free-Free Trusses by Using a Self-Regularization Approach
Authors: J. T. Chen
Y. L. Chang
S. Y. Leu
J. W. Lee
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Self-regularization approach
3D free-free structure
Bordered matrix
Stiffness matrix
Space truss
Date: 2018
Issue Date: 2018-10-08T06:04:50Z
Publisher: Journal of Mechanics
Abstract: Abstract: Following the success of static analysis of free-free 2-D plane trusses by using a self-regularization approach uniquely, we further extend the technique to deal with 3-D problems of space trusses. The inherent singular stiffness of a free-free structure is expanded to a bordered matrix by adding r singular vectors corresponding to zero singular values, where r is the nullity of the singular stiffness matrix. Besides, r constraints are accompanied to result in a nonsingular matrix. Only the pure particular solution with nontrivial strain is then obtained but without the homogeneous solution of no deformation. To link with the Fredholm alternative theorem, the slack variables with zero values indicate the infinite solutions while those with nonzero values imply the case of no solutions. A simple space truss is used to demonstrate the validity of the proposed model. An alternative way of reasonable support system to result in a nonsingular stiffness matrix is also addressed. In addition, the finite-element commercial code ABAQUS is also implemented to check the results.
Relation: 34(4) pp.505-518
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50437
Appears in Collections:[河海工程學系] 期刊論文

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