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Date of Publication:2022-10-09

Journal:动力学与控制学报

Affiliation of Author(s):材料科学与工程学院

Issue:4

Page Number:1-6

ISSN No.:1672-6553

Abstract:2D spectral elements were employed to discretize the cross section of a layered structure,the structure was divided into several substructures homogeneous along the longitudinal direction .A Riccati equation based high precision integration (HPI)method was utilized to perform integration along the the longitudinal direction, which was the undiscretized direction,to generate the stiffness matrix of the whole layered structure.The spectral element can avoid the well-known Runge phenomenon and achieve spectral accuracy,which means the numerical results can converge exponentially as the increase of interpolation order of basis functions.Numerical examples demonstrate the high efficiency and accuracy of the proposed method.Genetic Algorithm was used to optimize PBG structure based on the Semi-Analytical Spectral Element Method.

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