Comparisons of matched interface and boundary (MIB) method and its interpolation formulation for free vibration analysis of stepped beams and plates

作者：

Highlights：

• MIB is compared with IMIB in the solutions of eigenvalues of beams and plates.

• On the whole MIB and IMIB are quite equivalent,especially for small computational bandwidths.

• Some differences between MIB and IMIB can be observed for very large computational bandwidths.

• A new algorithm is proposed to deal with cross derivatives of interface conditions of plates.

摘要

•MIB is compared with IMIB in the solutions of eigenvalues of beams and plates.•On the whole MIB and IMIB are quite equivalent,especially for small computational bandwidths.•Some differences between MIB and IMIB can be observed for very large computational bandwidths.•A new algorithm is proposed to deal with cross derivatives of interface conditions of plates.

论文关键词：Matched interface and boundary,Interpolation formulation,Interface problem,High order finite difference,Eigenvalue problem

论文评审过程：Received 12 May 2020, Revised 18 August 2020, Accepted 10 November 2020, Available online 4 December 2020, Version of Record 4 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125817