Stable node-based smoothed radial point interpolation method for the dynamic analysis of the hygro-thermo-magneto-electro-elastic coupling problem

被引：20
作者：
Nie, Bin [1 ]
Meng, Guangwei [1 ]
Ren, Shuhui [1 ]
Wang, Jiye [1 ]
Ren, Zhuang [1 ]
Zhou, Liming [1 ]
Liu, Peng [1 ]
机构：
[1] Jilin Univ, Sch Mech & Aerosp Engn, Renmin St 5988, Changchun 130025, Jilin, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2022年 / 134卷
基金：
中国国家自然科学基金;
关键词：
Stable node-based smoothed radial point; interpolation method; Magneto-electro-elastic; Hygrothermal effect; Dynamic responses; Hygro-thermo-magneto-electro-elastic; FINITE-ELEMENT-METHOD; METHOD NS-FEM; FREE-VIBRATION CHARACTERISTICS; UPPER BOUND SOLUTIONS; FGMEE CIRCULAR DISK; ES-FEM; VARIABLE THICKNESS; CELL; PLATES; BEHAVIOR;
D O I：
10.1016/j.enganabound.2021.10.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the current work, the stable node-based smoothed radial point interpolation method (SNS-RPIM) was used to investigate the dynamic responses of magneto-electro-elastic (MEE) beams under hygrothermal environment with the generalized Newmark method. Based on the generalized smoothed Galerkin weak form and the gradient smoothing technique, the basic equations for hygro-thermo-magneto-electro-elastic (HTMEE) coupling problems were derived. The stable item of SNS-RPIM made the stiffness 'close-to-exact' and cured the 'over-soft' of the model. Through the numerical examples, the effect of empirical constants, temperature variation and moisture concentration on the elastic stiffness coefficients and generalized displacement was investigated. Besides, nu-merical results verified the accuracy, convergence and correctness of the present method compared with the traditional finite element method when analyzing the HTMEE coupling problems. Moreover, SNS-RPIM was very stable and accurate for extremely distributed meshes, which can have an excellent application for future studies of the coupled multi-physical problems.
引用
收藏
页码：435 / 452
页数：18
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