Group theoretical formulation of nonsymmetrical systems by the group supermatrix procedure
Abstract
The group supermatrix procedure, developed by Zlokovic for systems with symmetry properties described by groups, can be also applied to systems without symmetry. Transformation of a nonsymmetrical system into a system with symmetry properties is accomplished by symmetrization of support conditions, by adding fictitious structural parts and by removing existing ones. The generalized displacements and forces in the above symmetrized system coincide with corresponding values in the nonsymmetrical system. The Group supermatrix procedure performs the analysis for each G-invariant subspace separately, using only a part of the structure. This provides, in comparison with conventional methods, a drastic reduction in the amount of data input, computation and necessary memory space of the computer.
Keywords:
nonsymmetrical systems / group supermatricesSource:
Computers & Structures, 1999, 71, 6, 637-649Publisher:
- Pergamon-Elsevier Science Ltd, Oxford
DOI: 10.1016/S0045-7949(98)00304-6
ISSN: 0045-7949
WoS: 000080511600004
Scopus: 2-s2.0-0032644030
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Institution/Community
Inovacioni centarTY - JOUR AU - Zloković, G AU - Maneski, Taško AU - Nestorović, Miodrag S. PY - 1999 UR - https://machinery.mas.bg.ac.rs/handle/123456789/176 AB - The group supermatrix procedure, developed by Zlokovic for systems with symmetry properties described by groups, can be also applied to systems without symmetry. Transformation of a nonsymmetrical system into a system with symmetry properties is accomplished by symmetrization of support conditions, by adding fictitious structural parts and by removing existing ones. The generalized displacements and forces in the above symmetrized system coincide with corresponding values in the nonsymmetrical system. The Group supermatrix procedure performs the analysis for each G-invariant subspace separately, using only a part of the structure. This provides, in comparison with conventional methods, a drastic reduction in the amount of data input, computation and necessary memory space of the computer. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Computers & Structures T1 - Group theoretical formulation of nonsymmetrical systems by the group supermatrix procedure EP - 649 IS - 6 SP - 637 VL - 71 DO - 10.1016/S0045-7949(98)00304-6 ER -
@article{ author = "Zloković, G and Maneski, Taško and Nestorović, Miodrag S.", year = "1999", abstract = "The group supermatrix procedure, developed by Zlokovic for systems with symmetry properties described by groups, can be also applied to systems without symmetry. Transformation of a nonsymmetrical system into a system with symmetry properties is accomplished by symmetrization of support conditions, by adding fictitious structural parts and by removing existing ones. The generalized displacements and forces in the above symmetrized system coincide with corresponding values in the nonsymmetrical system. The Group supermatrix procedure performs the analysis for each G-invariant subspace separately, using only a part of the structure. This provides, in comparison with conventional methods, a drastic reduction in the amount of data input, computation and necessary memory space of the computer.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Computers & Structures", title = "Group theoretical formulation of nonsymmetrical systems by the group supermatrix procedure", pages = "649-637", number = "6", volume = "71", doi = "10.1016/S0045-7949(98)00304-6" }
Zloković, G., Maneski, T.,& Nestorović, M. S.. (1999). Group theoretical formulation of nonsymmetrical systems by the group supermatrix procedure. in Computers & Structures Pergamon-Elsevier Science Ltd, Oxford., 71(6), 637-649. https://doi.org/10.1016/S0045-7949(98)00304-6
Zloković G, Maneski T, Nestorović MS. Group theoretical formulation of nonsymmetrical systems by the group supermatrix procedure. in Computers & Structures. 1999;71(6):637-649. doi:10.1016/S0045-7949(98)00304-6 .
Zloković, G, Maneski, Taško, Nestorović, Miodrag S., "Group theoretical formulation of nonsymmetrical systems by the group supermatrix procedure" in Computers & Structures, 71, no. 6 (1999):637-649, https://doi.org/10.1016/S0045-7949(98)00304-6 . .