振动与冲击
振動與遲擊
진동여충격
Journal of Vibration and Shock
2015年
20期
167-173
,共7页
灵敏度分析%伴随法%一致性%瞬态动力响应
靈敏度分析%伴隨法%一緻性%瞬態動力響應
령민도분석%반수법%일치성%순태동력향응
sensitivity analysis%adjoint variable method%consistency%transient dynamic response
研究结构瞬态动力响应灵敏度分析伴随法可能存在的一致性问题，具体考虑先微分后离散与先离散后微分两种敏度分析方法的计算精度、收敛速度及一致性等。基于动力响应分析的时域显式法基本思想，以更简洁方式推导先离散后微分的伴随法计算列式。结果表明，先微分后离散伴随法一致性问题是由计算中所用动力响应结果仅在离散时间点满足运动方程产生的，存在的一致性问题不影响该方法的可靠性及应用。
研究結構瞬態動力響應靈敏度分析伴隨法可能存在的一緻性問題，具體攷慮先微分後離散與先離散後微分兩種敏度分析方法的計算精度、收斂速度及一緻性等。基于動力響應分析的時域顯式法基本思想，以更簡潔方式推導先離散後微分的伴隨法計算列式。結果錶明，先微分後離散伴隨法一緻性問題是由計算中所用動力響應結果僅在離散時間點滿足運動方程產生的，存在的一緻性問題不影響該方法的可靠性及應用。
연구결구순태동력향응령민도분석반수법가능존재적일치성문제，구체고필선미분후리산여선리산후미분량충민도분석방법적계산정도、수렴속도급일치성등。기우동력향응분석적시역현식법기본사상，이경간길방식추도선리산후미분적반수법계산렬식。결과표명，선미분후리산반수법일치성문제시유계산중소용동력향응결과부재리산시간점만족운동방정산생적，존재적일치성문제불영향해방법적가고성급응용。
The inconsistency issue of adjoint variable methods (AVMs)for sensitivity analysis of transient dynamic responses was investigated.The differentiate-then-discretize and discretize-then-differentiate approaches were considered, focusing on their computational accuracy,convergence rates and result consistency.Based on the basic idea of the explicit time-domain method for dynamic analysis,a concise discretize-then-differentiate AVM formulation was presented.It is found that the inconsistency of the differentiate-then-discretize approach is caused by the fact that numerical solutions for dynamic responses satisfy equations of motion only at integration points in the time domain.However,despite this consistency problem,this approach is still reliable for sensitivity analysis of dynamic responses.
