Increment-Dimensional Scaled Boundary Finite Element Method for Solving Transient Heat Conduction Problem
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Abstract:
An increment-dimensional scaled boundary finite element method (ID-SBFEM) is developed to solve the transient temperature field. To improve the accuracy of SBFEM, the effect of high frequency factor on dynamic stiffness is considered, and the first-order continued fraction technique is used. After the derivation, the SBFE equations are obtained, and the dimensions of thermal conduction, the thermal capacity matrix and the vector of the right side term in the equations are doubled. An example is presented to illustrate the feasibility and good accuracy of the proposed method.
Li Fengzhi, Li Tiantian, Kong Wei, Cai Junfeng. Increment-Dimensional Scaled Boundary Finite Element Method for Solving Transient Heat Conduction Problem[J]. Transactions of Nanjing University of Aeronautics & Astronautics,2018,35(6):1073-1079