A NEWBLOCK TRI-DIAGONAL STIFFNESS MATRIX FOR EFFICIENT FINITE ELEMENT ANALYSIS OF STRUCTURES

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KAVEH A.; RAHAMI H.; PEZESHKY P.

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Paper Information

Journal: ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING) Year:2012 | Volume:13 | Issue:2 Page(s): 257-273

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Title

A NEWBLOCK TRI-DIAGONAL STIFFNESS MATRIX FOR EFFICIENT FINITE ELEMENT ANALYSIS OF STRUCTURES

Author(s)

KAVEH A. | RAHAMI H. | PEZESHKY P. | Issue Writer Certificate

Keywords

CANONICAL FORMS

BLOCK TRI-DIAGONAL MATRIX

REGULAR STRUCTURES

FINITE ELEMENT MODELS

STIFFNESS MATRIX

MATRIX INVERSION

Abstract

In this paper, a new canonical form is introduced for efficient analysis of structures with special geometric properties. Using the properties of this matrix, the number of operations needed for the MATRIX INVERSION is considerably reduced employing the decomposition of the block stiffness matrices. The condition for applicability of the presented method is also discussed. For the previously developed CANONICAL FORMS, the Kronecker products and the corresponding theorems could be used for certain class of repeated structures. Here this class is extended to the stiffness matrices having more general block tri-diagonal form where the diagonal blocks are not necessarily identical, requiring a different treatment. Two examples of FINITE ELEMENT MODELS are analyzed to illustrate the efficiency of the presented method.

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References

SPECIAL DECOMPOSITIONS FOR EIGENPROBLEMS IN STRUCTURAL MECHANICS

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APA: Copy

KAVEH, A., RAHAMI, H., & PEZESHKY, P.. (2012). A NEWBLOCK TRI-DIAGONAL STIFFNESS MATRIX FOR EFFICIENT FINITE ELEMENT ANALYSIS OF STRUCTURES. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING), 13(2), 257-273. SID. https://sid.ir/paper/298920/en

Vancouver: Copy

KAVEH A., RAHAMI H., PEZESHKY P.. A NEWBLOCK TRI-DIAGONAL STIFFNESS MATRIX FOR EFFICIENT FINITE ELEMENT ANALYSIS OF STRUCTURES. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING)[Internet]. 2012;13(2):257-273. Available from: https://sid.ir/paper/298920/en

IEEE: Copy

A. KAVEH, H. RAHAMI, and P. PEZESHKY, “A NEWBLOCK TRI-DIAGONAL STIFFNESS MATRIX FOR EFFICIENT FINITE ELEMENT ANALYSIS OF STRUCTURES,” ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING), vol. 13, no. 2, pp. 257–273, 2012, [Online]. Available: https://sid.ir/paper/298920/en

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