基于广义多项式混沌法的圆柱壳自由振动不确定性分析

Uncertainty analysis of free vibration of cylindrical shell structures based on generalized polynomial chaos method

为了实现对舰船结构声振特性的精确预报,开展考虑建造因素的圆柱壳结构自由振动的不确定性分析。在分析影响圆柱壳结构自由振动中的材料不确定性和几何不确定性基础上,应用一般多项式混沌方法建立含建造因素不确定性的圆柱壳结构自由振动的求解模型。最后,基于配点法分析建造因素不确定性对圆柱壳结构自由振动的影响。研究结果可为舰船结构的设计与施工中的建造声学质量控制提供技术支持。

Aiming to gain an accurate prediction of the vibro-acoustic characteristics of the naval structures,the uncertainty analysis of free vibration characteristics for cylindrical shell structures with consideration of construction factors was conducted.The generalized polynomial chaos(GPC)method was used to establish the solution model of free vibration characteristics for the cylindrical shell structure,in which the construc⁃tion effect included the parameters of material uncertainty and geometric uncertainty.Finally,based on the collocation method,the influence of uncertain factors on the free vibration characteristics of the cylindrical shell structure was analyzed.The results can provide technical support for the design and construction of na⁃val structures based on acoustic quality control.