固体力学学报
固體力學學報
고체역학학보
ACTA MECHANICA SOLIDA SINICA
2001年
1期
54-60
,共7页
陈建军%车建文%马洪波%戴君
陳建軍%車建文%馬洪波%戴君
진건군%차건문%마홍파%대군
桁架结构%动力特性%可靠性约束%优化设计
桁架結構%動力特性%可靠性約束%優化設計
항가결구%동력특성%가고성약속%우화설계
对结构物理参数和几何尺寸同时具有随机性的桁架结构动力特性进行了分析,构建了以杆截面积为设计变量,结构重量极小化为目标函数,满足基频和频率禁区可靠性约束的结构动力优化设计数学模型,并对其中关切频率的估定、两种频率约束的统一表示等予以讨论,利用复合形法求解.最后给出了两个算例.
對結構物理參數和幾何呎吋同時具有隨機性的桁架結構動力特性進行瞭分析,構建瞭以桿截麵積為設計變量,結構重量極小化為目標函數,滿足基頻和頻率禁區可靠性約束的結構動力優化設計數學模型,併對其中關切頻率的估定、兩種頻率約束的統一錶示等予以討論,利用複閤形法求解.最後給齣瞭兩箇算例.
대결구물리삼수화궤하척촌동시구유수궤성적항가결구동력특성진행료분석,구건료이간절면적위설계변량,결구중량겁소화위목표함수,만족기빈화빈솔금구가고성약속적결구동력우화설계수학모형,병대기중관절빈솔적고정、량충빈솔약속적통일표시등여이토론,이용복합형법구해.최후급출료량개산례.
The problem of truss structure dynamic optimization with thereliability constraints of the frequency is studied. Considering the random ness of both physical parameters (elastic module and mass density) of structural materials and the geometric size of bars, the structure dynamic characteristics are analyzed based on probability. The distribution parameters of dynamic chara cteristic random variable are derived from the Rayleighs quotient. The dynamic optimization mathematical model of truss structure is developed with the reliab ility constraints of frequency and forbidden frequency domain. Finally, the corr esponding program system is designed and two examples are given.