Quadratic tetrahedral micropolar element for the vibration analysis of three-dimensional micro-structures

被引：7
作者：
Kohansal-Vajargah, M. [1 ]
Ansari, R. [2 ]
机构：
[1] Univ Guilan, Fac Mech Engn, Univ Campus 2, Rasht 4144784475, Iran
[2] Univ Guilan, Fac Mech Engn, POB 3756, Rasht, Iran
来源：
THIN-WALLED STRUCTURES | 2021年 / 167卷
关键词：
Micropolar theory; 3D elasticity; Finite element method; Vibration analysis; User element subroutine; Abaqus; ISOGEOMETRIC ANALYSIS; NONLINEAR MICROPOLAR; PLATES; DISCONTINUITIES; ELASTICITY; BEAM;
D O I：
10.1016/j.tws.2021.108152
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
The micropolar continuum theory (MPT) is able to describe the influence of micro-structures on the mechanical behavior of materials where the classical theories of elasticity are unable to interpret. In this paper, the free vibration analysis of three-dimensional (3D) micropolar structures with different geometries is presented. To this aim, first, based on the 3D linear elasticity, MPT is formulated. Then a novel size-dependent quadratic tetrahedral element is developed by the user element subroutine (UEL) within commercial finite element software ABAQUS to study the free vibration behavior of micropolar structures with various geometries. The length scale parameter effects on the dimensionless natural frequencies of micropolar structures with various geometries are studied.
引用
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页数：12
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