FORMATION OF SPARSE NULL BASES FOR OPTIMAL FORCE METHOD ANALYSIS USING CHARGED SYSTEM SEARCH ALGORITHM

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DAEI M.; TAMJIDZAD SH.; MIRMOHAMMADI S.H.

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Journal: Ferdowsi Civil Engineering Year:2016 | Volume:27 | Issue:2 Page(s): 75-83

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Information Journal Paper

Title

FORMATION OF SPARSE NULL BASES FOR OPTIMAL FORCE METHOD ANALYSIS USING CHARGED SYSTEM SEARCH ALGORITHM

Author(s)

DAEI M. | TAMJIDZAD SH. | MIRMOHAMMADI S.H. | Issue Writer Certificate

Keywords

OPTIMAL ANALYSISQ2

FORCE METHODQ2

NULL BASESQ2

CHARGED SYSTEM SEARCH ALGORITHMQ2

Abstract

In this paper, an algorithm is presented for the formation of optimal null basis vectors corresponding to sparse flexibility matrices. For controlling the independence of the vectors, a generator is selected in each corresponding self-equilibrating systems, and the sequence of generators is modeled as decision variables. Since the equilibrium conditions and uniqueness of generators consists a underdetermined linear system, a linear mixed integer programming model is presented for finding sparse solution. In CHARGED SYSTEM SEARCH ALGORITHM, the movement of charged particles is tracked in a continuous domain, therefore it is modified for using in a discrete binary space, and also a new operator called probability of mutation is defined in this paper. The numerical examples shows that the proposed method enables to find suboptimal solution, while using short computational time and resulting good accuracy.

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APA: Copy

DAEI, M., TAMJIDZAD, SH., & MIRMOHAMMADI, S.H.. (2016). FORMATION OF SPARSE NULL BASES FOR OPTIMAL FORCE METHOD ANALYSIS USING CHARGED SYSTEM SEARCH ALGORITHM. JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING), 27(2), 75-83. SID. https://sid.ir/paper/195816/en

Vancouver: Copy

DAEI M., TAMJIDZAD SH., MIRMOHAMMADI S.H.. FORMATION OF SPARSE NULL BASES FOR OPTIMAL FORCE METHOD ANALYSIS USING CHARGED SYSTEM SEARCH ALGORITHM. JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2016;27(2):75-83. Available from: https://sid.ir/paper/195816/en

IEEE: Copy

M. DAEI, SH. TAMJIDZAD, and S.H. MIRMOHAMMADI, “FORMATION OF SPARSE NULL BASES FOR OPTIMAL FORCE METHOD ANALYSIS USING CHARGED SYSTEM SEARCH ALGORITHM,” JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING), vol. 27, no. 2, pp. 75–83, 2016, [Online]. Available: https://sid.ir/paper/195816/en

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