Abstract
In static and dynamic analysis of a large complex structure, one may merely be interested in the stresses and displacements at some important locations. A new solution technique for structural analysis with FEM is proposed in this paper by which those important unknowns are separated from the rest. In static analysis the important unknows can be found directly. In dynamic analysis all mass and exciting forces can be condensed onto a small number of predetermined points in order to make the dynamic analysis much simplified. A large scale problem can be solved with a small capacity computer quickly.
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References
Duff, T.S. A survey of spare matrix research, Proceedings of IEEE,65, 4 (1977), 500–536.
Wilson, E.L. and Dovey, H.H., Solution or reduction of equilibrium equations for large complex structural system,Advances in Engineering Software,1, 1 (1978), 19–25.
Zong Wanxie, Lin Shaopei, et al., On static and dynamic analysis of tall building by general modular technique, Proc. Conference on FEM, August (1982), Shanghai, China, 328–333.
Clough, R.W. and Penzien, J., Dynamics of Structures, Mcgraw-Hill Inc. (1975), chapter 12 and chapter 14.
Rossettos, J.N. and Weinstock, H., Finite element 3-dimensional dynamic frame nodal for vehicle croshworthiness predictor, Proc. Third Int., Conference on Vehical System Dynamics, August (1974), Virginia, USA.
Timoshenko, S., Vibration Problems in Engineering, Third Edition, D. Van Nostrand Company Inc., (1955) Chapter 5, Section 70.
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Naigang, L., Qiye, C. Extraction-condensation method for solving large sets of equations in FE analysis. Acta Mech Sinica 3, 239–250 (1987). https://doi.org/10.1007/BF02486770
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DOI: https://doi.org/10.1007/BF02486770