中文摘要：

现代机械的高速化和轻量化的发展趋势导致了更加严重的振动噪声问题,因此柔性系统的高频隔振降噪是机械设计过程中必须要考虑的问题。充分考虑机械系统的柔性性质,采用子结构导纳综合法和传递矩阵技术,建立多激励多支承的柔性机器和柔性基础（Flexible machine and flexible base,FMFB）全柔性隔振系统的一般动力学模型和力学描述,该模型不但包含了刚性机器和刚性基础（Rigid machine and rigid base,RMRB）、刚性机器和柔性基础（Rigid machine and flexible base,RMFB）、柔性机器和刚性基础（Flexible machine and rigid base,FMRB）等多种隔振模型,而且还可以借助该模型分析积极隔振和被动隔振等问题。通过系统综合,给出适合于不同隔振系统的传递率和功率流表达式,探讨各类柔性系统的固有频率耦合规律,并研究它们的振动传递特性等问题,得到了一些有价值的结论,对柔性隔振设计具有重要的指导意义。

英文摘要：

The trend of high speed and light weight of the modern machines brings about some tremendously serious vibration and noise,so vibration isolation and noise reduction of flexible systems in high frequency range is a very important issue that must be considered in mechanical designs.The flexibility of vibrating systems being sufficiently taken into account,a generalized dynamics model and its mathematical description of fully flexible isolation systems with flexible machine and flexible base（FMFB）,which are subjected to multi-excitations and supported by multi-mounts,is presented,by the sub-structural mobility synthesis and the transfer matrix approach.This model not only can readily degenerate to rigid machine and rigid base（RMRB）,rigid machine and flexible base（RMFB）,and flexible machine and rigid base（FMRB） isolation systems,etc.,but also it can be used to analyze the passive and active isolation.In accordance with the combination of subsystems,the formulation of transmissibility and power flow of different systems is performed.The couple and transmission characteristics of various isolation systems are investigated,and some valuable results are obtained to give some important guidance for isolation designs.