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Structural Engineering and Mechanics
  Volume 55, Number 5, September10 2015, pages 1055-1086

Time-domain analyses of the layered soil by the modified scaled boundary finite element method
Shan Lu, Jun Liu, Gao Lin and Wenyuan Wang

    The dynamic response of two-dimensional unbounded domain on the rigid bedrock in the time domain is numerically obtained. It is realized by the modified scaled boundary finite element method (SBFEM) in which the original scaling center is replaced by a scaling line. The formulation bases on expanding dynamic stiffness by using the continued fraction approach. The solution converges rapidly over the whole time range along with the order of the continued fraction increases. In addition, the method is suitable for large scale systems. The numerical method is employed which is a combination of the time domain SBFEM for far field and the finite element method used for near field. By using the continued fraction solution and introducing auxiliary variables, the equation of motion of unbounded domain is built. Applying the spectral shifting technique, the virtual modes of motion equation are eliminated. Standard procedure in structural dynamic is directly applicable for time domain problem. Since the coefficient matrixes of equation are banded and symmetric, the equation can be solved efficiently by using the direct time domain integration method. Numerical examples demonstrate the increased robustness, accuracy and superiority of the proposed method. The suitability of proposed method for time domain simulations of complex systems is also demonstrated.
Key Words
    scaled boundary finite element method; multilayered unbounded domain; continued fraction approach; time domain analysis
Shan Lu, Jun Liu, Gao Lin and Wenyuan Wang: School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, China
Jun Liu: State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China; State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China

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