中国机械工程
中國機械工程
중국궤계공정
China Mechanical Engineering
2015年
21期
2958-2962
,共5页
铺层结构%三维等效弹性常数%有限元%模态分析
鋪層結構%三維等效彈性常數%有限元%模態分析
포층결구%삼유등효탄성상수%유한원%모태분석
layer structure%three dimensional equivalent elastic constant%finite element%modal analysis
从铺层结构的三维宏观弹性特性出发，利用三维层压结构理论，获得了复合层板的三维弹性常数的等效公式。以 MATLAB 为平台，编写模块化程序，将层压结构理论运用于某大型回转机械平行铺层和环状铺层结构的三维弹性常数等效中，输入每个单层结构的弹性参数，该程序可自动生成部件等效刚度矩阵、柔度矩阵和等效弹性常数；结合 APDL 参数化语言建立有限元模型，对等效前后的结构进行模态分析比较。结果表明，等效前后部件前三阶固有频率的变化率都小于5％，说明该方法对此类复合铺层结构的三维弹性常数等效是可行的。
從鋪層結構的三維宏觀彈性特性齣髮，利用三維層壓結構理論，穫得瞭複閤層闆的三維彈性常數的等效公式。以 MATLAB 為平檯，編寫模塊化程序，將層壓結構理論運用于某大型迴轉機械平行鋪層和環狀鋪層結構的三維彈性常數等效中，輸入每箇單層結構的彈性參數，該程序可自動生成部件等效剛度矩陣、柔度矩陣和等效彈性常數；結閤 APDL 參數化語言建立有限元模型，對等效前後的結構進行模態分析比較。結果錶明，等效前後部件前三階固有頻率的變化率都小于5％，說明該方法對此類複閤鋪層結構的三維彈性常數等效是可行的。
종포층결구적삼유굉관탄성특성출발，이용삼유층압결구이론，획득료복합층판적삼유탄성상수적등효공식。이 MATLAB 위평태，편사모괴화정서，장층압결구이론운용우모대형회전궤계평행포층화배상포층결구적삼유탄성상수등효중，수입매개단층결구적탄성삼수，해정서가자동생성부건등효강도구진、유도구진화등효탄성상수；결합 APDL 삼수화어언건립유한원모형，대등효전후적결구진행모태분석비교。결과표명，등효전후부건전삼계고유빈솔적변화솔도소우5％，설명해방법대차류복합포층결구적삼유탄성상수등효시가행적。
An equivalent formula of 3D elastic constants of composite laminates was presented herein according to three??dimensional macroscopic elastic properties of the laminated structure and the three??dimensional laminated structure theory.A modular program was also established on a MATLAB platform,this theory was applied in the equivalent of the plane ply and ring ply part of a large rotating mechanism.Inputting the elastic parameters of each single layer structure,the stiffness matrix,flexiG bility matrix and equivalent elastic constants can be automatically generated in the equivalent model. Then,the finite element model was built in ANSYS parametric language,the modal analysis result of the structure before and after equivalent was compared.The results show that the relative error is within 5%,which proves that the equivalent method used in this kind of layer structure is feasible.
