振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
4期
35-39
,共5页
不确定%PC 展开%虚拟激励法%Hermite 多项式%随机伽辽金法方法
不確定%PC 展開%虛擬激勵法%Hermite 多項式%隨機伽遼金法方法
불학정%PC 전개%허의격려법%Hermite 다항식%수궤가료금법방법
uncertainty%polynomial chaos (PC ) expansion%pseudo excitation method (PEM)%Hermite polynomial%random Galerkin method
由于加工、制造等原因，实际结构系统往往所具有很多不确定性，准确评估随机系统的动力学行为不仅具有实际意义，而且是近年来结构动力学理论的一个研究热点。本文研究了同时考虑结构模型参数与所受外激励载荷具有不确定性的复合随机振动问题。结构模型参数的不确定性采用随机变量模拟，外激励载荷的不确定性采用随机过程模拟，提出了结构随机振动响应评估的混合混沌多项式－虚拟激励（PC-PEM）方法。数值算例研究了参数不确定性在21杆桁架中的传播，讨论了响应的一阶、二阶统计矩，并同蒙特卡洛方法进行对比表明提出方法的正确性和有效性。本文的工作对于考虑不确定的复杂装备与结构系统的随机振动分析具有很好的借鉴意义。
由于加工、製造等原因，實際結構繫統往往所具有很多不確定性，準確評估隨機繫統的動力學行為不僅具有實際意義，而且是近年來結構動力學理論的一箇研究熱點。本文研究瞭同時攷慮結構模型參數與所受外激勵載荷具有不確定性的複閤隨機振動問題。結構模型參數的不確定性採用隨機變量模擬，外激勵載荷的不確定性採用隨機過程模擬，提齣瞭結構隨機振動響應評估的混閤混沌多項式－虛擬激勵（PC-PEM）方法。數值算例研究瞭參數不確定性在21桿桁架中的傳播，討論瞭響應的一階、二階統計矩，併同矇特卡洛方法進行對比錶明提齣方法的正確性和有效性。本文的工作對于攷慮不確定的複雜裝備與結構繫統的隨機振動分析具有很好的藉鑒意義。
유우가공、제조등원인，실제결구계통왕왕소구유흔다불학정성，준학평고수궤계통적동역학행위불부구유실제의의，이차시근년래결구동역학이론적일개연구열점。본문연구료동시고필결구모형삼수여소수외격려재하구유불학정성적복합수궤진동문제。결구모형삼수적불학정성채용수궤변량모의，외격려재하적불학정성채용수궤과정모의，제출료결구수궤진동향응평고적혼합혼돈다항식－허의격려（PC-PEM）방법。수치산례연구료삼수불학정성재21간항가중적전파，토론료향응적일계、이계통계구，병동몽특잡락방법진행대비표명제출방법적정학성화유효성。본문적공작대우고필불학정적복잡장비여결구계통적수궤진동분석구유흔호적차감의의。
Due to processing and manufacturing reasons,an actual structure system often has a lot of uncertainties. How to correctly assess dynamic behavior of an uncertain system not only has a practical significance,but also is a hot topic of structural dynamics theory in recent years.Here,the dynamic behavior of a structure with uncertain parameters under external random excitation was investigated.The uncertain parameters of the structure were taken as random variables,and the random excitations were taken as stochastic processes.The hybrid polynomial chaos and pseudo excitation method (PC-PEM)was proposed to evaluate the random vibration response of the uncertain structure.Finally, the proposed method was applied to evaluate the random response of a 21-bar truss with uncertain parameters.The first two orders statistical moments of its random response were discussed,and the correctness and effectiveness of the proposed method were verified by comparing the results of this method with those of Monte Carlo method.This study was of great significance for random vibration analysis of complex equipments and structures with uncertain parameters.
