给出不确定性激励下的动态响应边界——一种非随机振动分析方法

发布时间：2018-03-07 10:05

本文选题：非随机振动　切入点：不确定性激励　出处：《力学学报》2016年02期 　论文类型：期刊论文

【摘要】：提出了一种非随机振动分析方法,可给出系统在不确定性激励下的动态响应边界,从而为实验信息相对缺乏的不确定性振动分析及未来的可靠性设计提供一种新的计算工具.采用非概率凸模型过程而非传统的随机过程描述不确定性动态激励,仅需知道激励在任意时刻点的边界信息而非精确概率分布,从而有效降低对大样本量的依赖性.针对单自由度和多自由度系统,建立了相应的非随机振动分析算法,以求解系统在不确定性动态激励下的响应区间;另外,也给出了蒙特卡罗仿真方法,为非随机振动提供一种最为一般的分析工具.最后,通过3个数值算例验证了本文方法的有效性.非随机振动分析方法可以作为传统随机振动理论的补充,在工程不确定性结构动力学分析及结构可靠性设计领域发挥作用.
[Abstract]:A non-random vibration analysis method is proposed, which can give the dynamic response boundary of the system under uncertain excitation. It provides a new calculation tool for uncertainty vibration analysis and reliability design in the future, which is relatively lacking in experimental information. Non-probabilistic convex model processes rather than traditional stochastic processes are used to describe uncertain dynamic excitation. We only need to know the boundary information of the excitation at any moment rather than the exact probability distribution, so as to reduce the dependence on the large sample size effectively. The corresponding non-random vibration analysis algorithms are established for single and multi-degree-of-freedom systems. In order to solve the response interval of the system under the uncertain dynamic excitation, the Monte Carlo simulation method is also given, which provides a most general analysis tool for the non-random vibration. The effectiveness of this method is verified by three numerical examples. The non-random vibration analysis method can be used as a supplement to the traditional random vibration theory and plays an important role in the engineering uncertain structural dynamics analysis and structural reliability design.
【作者单位】：湖南大学机械与运载工程学院汽车车身先进设计制造国家重点实验室;
【基金】：国家自然科学基金(11172096) 国家优秀青年基金(51222502) 全国优博专项基金(201235)资助项目
【分类号】：O324

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