基于区间摄动法的不确定结构高频动响应预示

High-frequency Response Prediction of Uncertainty Structures based on Interval Perturbation Approach

统计能量分析是目前航空航天、汽车、船舶和核能等领域解决高频段振动及噪声问题的有效方法之一。考虑稳态统计能量分析模型中损耗因子和外载荷的不确定性,将带有测量误差的内损耗因子和耦合损耗因子等参数以区间变量形式表示。提出基于区间摄动方法的不确定结构高频段动响应预示方法,给出每个统计能量分析子系统总能量区间的计算步骤及方法,揭示损耗因子和外载荷测量误差对稳态响应预示结果的影响规律,通过对两块复合板结构的实验验证了理论的合理性和有效性。

Statistical energy analysis(SEA) is an effective method to deal with the high-frequency noise and vibration problem in many fields such as aeronautics,vehicles,ships and nuclear energy.In this paper,the uncertainty of the damping loss factor and coupling loss factor of SEA is considered and the interval variables are utilized to represent the damping loss factors and coupling loss factors with measurement errors.The high-frequency dynamic response prediction method of the uncertainty structures is proposed by using the interval perturbation method.Then,the computation method of the total energy intervals of the subsystems is provided.The effect level of the measurement errors of parameters on the predicted steady-state response is revealed.The rationality and effectiveness of this theory is validated by the experiment on two composite plates.