Vibration analysis of two-dimensional structures using micropolar elements  

作　　者：M.KOHANSAL-VAJARGAH R.ANSARI M.FARAJI-OSKOUIE M.BAZDID-VAHDATI 

机构地区：[1]Faculty of Mechanical Engineering,University Campus 2,University of Guilan,Rasht 41447-84475,Iran [2]Faculty of Mechanical Engineering,University of Guilan,Rasht 3756,Iran

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第7期999-1012,共14页应用数学和力学（英文版）

摘　　要：Based on the micropolar theory(MPT),a two-dimensional(2 D)element is proposed to describe the free vibration response of structures.In the context of the MPT,a 2 D 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 2 D 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.

关 键 词：finite element method(FEM) quadrilateral element micropolar theory(MPT) user-defined element(UEL)subroutine free vibration 

分 类 号：O343[理学—固体力学] O242[理学—力学]