Vibration analysis of two-dimensional structures using micropolar elements

• 作者: M.KOHANSAL-VAJARGAH R.ANSARI M.FARAJI-OSKOUIE M.BAZDID-VAHDATI
• 来源期刊: 应用数学和力学（英文版）
• 年，卷（期）: 2021,（7）
• 页码范围: 999-1012
• 页数: 14页
• 分类号: O343|O242|O32
• 语种: 英文

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.