本项目针对结构振动响应的局部化非线性动力学建模和预测开展研究。通过恒响应测试与参数识别方法，揭示外界激励与结构非线性响应的内在关系，揭示结构的非线性形式和元素的表征；通过将非线性的表征引入确认的线性模型中，建立结构的非线性模型，拓展和建立基于不同激励水平下，频响函数整体幅值、振型相关函数的三维相关分析方法和对非线性模型中的非线性表征参数的修正方法，实现修正后的模型能精确反映结构的非线性特征；通过概率方法、RHBM方法、响应面方法的集成，实现非线性模型参数的不确定性量化和传播分析，进一步通过灵敏度分析方法，得到整体结构的动力学特性和关注部位的响应对非线性模型参数的灵敏度，确定整体结构多个局部非线性中影响显著的“关键非线性”，实现对关注部位的动力响应的高精度预测。这对不开展整体试验的情况下可对结构关注部位的动力学响应进行高精度预测，对部件级振动环境试验研究，具有重要的科学意义和工程应用价值。

The novel method of the localized nonlinear dynamics modeling and prediction of structural vibration response is explored in the proposal. The inherent relationship between the external excitation and the nonlinear response of the structure is revealed and the non-linearity form and its elements in the structure is recognized through the method of constant response test and parameter identification. Based on derivation of a validated underlying linear model (ULM), the primary nonlinear form and elements are introduced into the ULM and the nonlinear model of the structure is established. By expanding the frequency response function-based amplitude/shape correlation functions, the three-dimensional correlation analysis method under different excitation levels is established and the updating of the nonlinear model is carried out to achieve the goal that the updated non-linear model can accurately reflect the structure of the nonlinear characteristics. Through the integration of probability method, RHBM method and response surface method, the uncertainty quantization and propagation analysis of nonlinear model parameters are realized. Furthermore, the sensitivity of the response of the concerned parts of a whole structure with respect to the locations of multiple local non-linearity are obtained by the sensitivity analysis method in order to determine the number of local non-linear effects with significant "critical nonlinearity". Then, the prediction of the dynamic response of the concerned parts of the structure considering multiple local nonlinearity of the whole structure can be achieved effectively and efficiently. It has important scientific significance and engineering application value to highly accurate prediction of dynamic response without doing overall test of whole structure and also to vibration environment test study in the component level.