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. (1393). CANONICAL FORMS FOR CALCULATING THE EIGENFREQUENCIES AND BUCKLING LOADS OF SYMMETRIC SPACE TRUSSES. , 39(C1), 207-213. doi: 10.22099/ijstc.2015.2769
. "CANONICAL FORMS FOR CALCULATING THE EIGENFREQUENCIES AND BUCKLING LOADS OF SYMMETRIC SPACE TRUSSES". , 39, C1, 1393, 207-213. doi: 10.22099/ijstc.2015.2769
. (1393). 'CANONICAL FORMS FOR CALCULATING THE EIGENFREQUENCIES AND BUCKLING LOADS OF SYMMETRIC SPACE TRUSSES', , 39(C1), pp. 207-213. doi: 10.22099/ijstc.2015.2769
. CANONICAL FORMS FOR CALCULATING THE EIGENFREQUENCIES AND BUCKLING LOADS OF SYMMETRIC SPACE TRUSSES. , 1393; 39(C1): 207-213. doi: 10.22099/ijstc.2015.2769

CANONICAL FORMS FOR CALCULATING THE EIGENFREQUENCIES AND BUCKLING LOADS OF SYMMETRIC SPACE TRUSSES

Iranian Journal of Science and Technology Transactions of Civil Engineering
شناسنامه علمی شماره، دوره 39، C1، اردیبهشت 2015، صفحه 207-213    اصل مقاله (202.89 K)
شناسه دیجیتال (DOI): 10.22099/ijstc.2015.2769
چکیده
For dynamic analysis of structure, the calculation of eigenvalues and eigenvectors is
necessary. When the structural models are symmetric, such calculation can be simplified using
some of the concepts of graph theory. In this paper, two methods are presented for eigensolution of
space Truss. The first method uses a graph model and employs a decomposition and healing
process for factorization of the graph model and calculating the eigenvalues of graph. The second
approach uses the canonical forms for the construction of submatrices, from which, the
eigenvalues can be obtained. Both methods lead to identical results.
کلیدواژه‌ها
free vibration؛ Forced vibration؛ canonical forms؛ Graph Theory؛ buckling load؛ space trusses
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