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PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by: B.H.V. Topping and P. Iványi
An Eigensolver for Free Vibration Analysis of Spatial Skeletal Structures using an Enhanced Dynamic Stiffness Method
Y. Wu, J.J. Xu, K.S. Ye and S. Yuan
Department of Civil Engineering, Tsinghua University, Beijing, P.R. China
Y. Wu, J.J. Xu, K.S. Ye, S. Yuan, "An Eigensolver for Free Vibration Analysis of Spatial Skeletal Structures using an Enhanced Dynamic Stiffness Method", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 33, 2014. doi:10.4203/ccp.106.33
Keywords: free vibration, frequency, mode, exact dynamic stiffness method, spatial skeletal structure..
This paper describes the implementation of an eigensolver for free vibration analysis of spatial skeletal structures with uniform members subject to combined tension, bending and torsion in the three-dimensional space. The solver uses a dynamic stiffness matrix method and outputs virtually exact solutions for both vibrational frequencies and modes. In the computation, the Wittrick-Williams algorithm is used for frequency isolation and the recently developed guided-and-guarded Newton's method is used for mode finding and frequency extrapolation to accelerate the iterative convergence. A number of auxiliary techniques, such as interior nodes, mu-check etc., make the whole algorithm computationally efficient and numerically stable.
The eigensolver has been successfully incorporated into the existing structural mechanics software called SMSolver. In this paper, computational and numerical comparison between the SMSolver and other available finite element software is given to show its excellent performance and its advantages over the finite element based software in accuracy, reliability and efficiency.
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