复合材料夹层板振动分析的精化锯齿理论和三角形板单元  

TRIANGULAR PLATE ELEMENT BASED ON REFINED ZIG-ZAG THEORY FOR FREE VIBRATION ANALYSIS OF SANDWICH PLATES

作　　者：任晓辉[1,2] 陈万吉[1,2] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116023 [2]沈阳航空航天大学辽宁省飞行器复合材料结构分析与仿真重点实验室,辽宁沈阳110136

出　　处：《工程力学》2012年第2期34-38,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(11072156;10802052);辽宁高校优秀人才支持项目(LR201033);沈阳市科技项目(F10-205-1-16)

摘　　要：基于精化锯齿理论,构造了六节点三角形协调板单元并推导了夹层板自由振动问题有限元列式。不同于已有锯齿理论,精化锯齿理论特点是面内位移不含有横向位移一阶导数,构造有限元时仅需要C0插值函数。为验证单元性能,分析了软核夹层板自由振动问题。结果表明,该文构造的单元能准确计算软核夹层板固有频率,然而基于已有锯齿理论建立的不协调元计算结果精度较低。Based on the refined zig-zag theory,this paper presents a six-node triangular conforming plate element in combination with finite element formulation for free vibration problems.Different from previous zig-zag theories,the first derivative of transverse displacement has been taken out from the in-plane displacement fields in the refined zig-zag theory,so that the C 0 shape functions are only required during its finite element implementation.To verify the performance of the presented finite element,typical free vibration problems of soft-core sandwich plates are considered.Numerical results show that the presented triangular conforming plate element is able to accurately predict the natural frequencies of sandwich plates with soft core.However,the nonconforming plate element based on the previous zig-zag theory remarkably underestimates the natural frequencies of soft-core sandwich plates.

关 键 词：固体力学 精化锯齿理论 C0连续 三角形板单元 夹层板 自由振动 

分 类 号：O343.8[理学—固体力学]