Comparisons of matched interface and boundary (MIB) method and its interpolation formulation for free vibration analysis of stepped beams and plates
作者： Zhiwei Song , Wei Li , Xiaoqiao He , De Xie
DOI: 10.1016/J.AMC.2020.125817
关键词: Boundary (topology) 、 Work (thermodynamics) 、 Interpolation 、 Computer science 、 Mathematical analysis 、 Eigenvalues and eigenvectors 、 Interface (computing) 、 Comparison study 、 Vibration 、 Grid
摘要: Abstract This work conducts a comparison study of matched interface and boundary (MIB) method its interpolation formulation for free vibration analysis stepped beams plates. Two types schemes are used to describe the relations between interfaces grid points in one-dimensional two-dimensional domains. In first scheme, located on points, while, second lie points. Detailed procedures MIB (IMIB) presented these two schemes. Based in-depth understanding MIB, new algorithm is also developed deal with cross derivatives conditions plates lying improve accuracy. Various examples chosen illustrate performance IMIB. research reveals that whole, IMIB equivalent solutions eigenvalues However, some differences can be observed very large computational bandwidths. Some important conclusions drawn at end this study.
sci-hub.st 参考文章(35)
Bao Wang, Kelin Xia, Guo-Wei Wei, Second order method for solving 3D elasticity equations with complex interfaces Journal of Computational Physics. ,vol. 294, pp. 405- 438 ,(2015) , 10.1016/J.JCP.2015.03.053
Wei Li, Zhiwei Song, Yingbin Chai, Discrete Singular Convolution Method for Dynamic Stability Analysis of Beams under Periodic Axial Forces Journal of Engineering Mechanics. ,vol. 141, pp. 04015033- ,(2015) , 10.1061/(ASCE)EM.1943-7889.0000931
Mani Khezri, Mark A. Bradford, Zora Vrcelj, Application of RKP‐FSM in the buckling and free vibration analysis of thin plates with abrupt thickness changes and internal supports International Journal for Numerical Methods in Engineering. ,vol. 104, pp. 125- 156 ,(2015) , 10.1002/NME.4936
Xinwei Wang, Yongliang Wang, Free vibration analysis of multiple-stepped beams by the differential quadrature element method Applied Mathematics and Computation. ,vol. 219, pp. 5802- 5810 ,(2013) , 10.1016/J.AMC.2012.12.037
Shan Zhao, G. W. Wei, Matched interface and boundary (MIB) for the implementation of boundary conditions in high‐order central finite differences International Journal for Numerical Methods in Engineering. ,vol. 77, pp. 1690- 1730 ,(2009) , 10.1002/NME.2473
Weihua Geng, Sining Yu, Guowei Wei, Treatment of charge singularities in implicit solvent models Journal of Chemical Physics. ,vol. 127, pp. 114106- 114106 ,(2007) , 10.1063/1.2768064
Y. XIANG, C.M. WANG, EXACT BUCKLING AND VIBRATION SOLUTIONS FOR STEPPED RECTANGULAR PLATES Journal of Sound and Vibration. ,vol. 250, pp. 503- 517 ,(2002) , 10.1006/JSVI.2001.3922
S.K. Jang, C.W. Bert, Free vibration of stepped beams: Exact and numerical solutions Journal of Sound and Vibration. ,vol. 130, pp. 342- 346 ,(1989) , 10.1016/0022-460X(89)90561-0
Guohui Duan, Xinwei Wang, Vibration analysis of stepped rectangular plates by the discrete singular convolution algorithm International Journal of Mechanical Sciences. ,vol. 82, pp. 100- 109 ,(2014) , 10.1016/J.IJMECSCI.2014.03.004
S. Zhao, G.W. Wei, Y. Xiang, DSC analysis of free-edged beams by an iteratively matched boundary method Journal of Sound and Vibration. ,vol. 284, pp. 487- 493 ,(2005) , 10.1016/J.JSV.2004.08.037