Vibration analysis of two-dimensional structures using micropolar elements

被引：3
|
作者：
Kohansal-Vajargah, M. [1 ]
Ansari, R. [2 ]
Faraji-Oskouie, M. [2 ]
Bazdid-Vahdati, M. [2 ]
机构：
[1] Univ Guilan, Fac Mech Engn, Univ Campus 2, Rasht 4144784475, Iran
[2] Univ Guilan, Fac Mech Engn, Rasht 3756, Iran
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2021年 / 42卷 / 07期
关键词：
finite element method (FEM); quadrilateral element; micropolar theory (MPT); user-defined element (UEL) subroutine; free vibration; O343; O242; O32; ELASTIC THIN PLATES; BEAMS; INSTABILITY; CRYSTALS; MODEL;
D O I：
10.1007/s10483-021-2746-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the micropolar theory (MPT), a two-dimensional (2D) element is proposed to describe the free vibration response of structures. In the context of the MPT, a 2D formulation is developed within the ABAQUS finite element software. The user-defined element (UEL) subroutine is used to implement a micropolar element. The micropolar effects on the vibration behavior of 2D structures with arbitrary shapes are studied. The effect of micro-inertia becomes dominant, and by considering the micropolar effects, the frequencies decrease. Also, there is a considerable discrepancy between the predicted micropolar and classical frequencies at small scales, and this difference decreases when the side length-to-length scale ratio becomes large.
引用
收藏
页码：999 / 1012
页数：14
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