The Dynamic Performance of Nonlinear Vibration Absorbers

中文摘要作者声明：Alan G. Haddow，密歇根州立大学提案编号0084947非线性减振器的动态性能所提出的工作的目标是获得一个更好的理解的动态响应和性能的系统，利用多个减振器，并提取这些知识到设计指南。 这些减振器由悬挂在转子上的质量组成，它们的运动抵消了作用在转子上的波动扭矩的影响。 本研究采用了分析和实验相结合的方法。 分析的重点是数学建模和预测技术的应用，包括扰动方法和对称动态分岔理论。 通过适当选择配方中包含的设计参数，可以实现所需的性能。 实验进行了现有的扭振设施，允许控制的平均转子速度和波动的扭矩分量。 正在研究的具体课题包括：应用吸振器减少旋转梁的振动，使用吸振器减少震动，避免在阻尼器系统中的局部化，多谐激励的吸振器，以及吸振器的瞬态性能。 通过对非线性行为、不稳定性和振动局部化的系统研究，本研究提供了避免限制振动系统性能的影响的策略，研究结果为旋转系统中减振器系统的设计提供了有益的建议。***********

AbstractSteven W. Shaw and Alan G. Haddow, Michigan State UniversityProposal Number 0084947The Dynamic Performance of Nonlinear Vibration AbsorbersThe objective of the proposed work is to gain an improved understanding ofthe dynamic response and performance of systems that utilize multiplevibration absorbers and to distill this knowledge into design guidelines.Of specific interest are centrifugally driven pendulum absorbers that areused for reducing torsional vibrations in rotor applications. Theseabsorbers consist of masses that are suspended from the rotor in such amanner that their motion counteracts the effects of fluctuating torques thatact on the rotor. This study employs both analysis and experimentation ofsuch absorbers. The analysis focuses on mathematical modeling and theapplication of predictive techniques, including perturbation methods andsymmetric dynamic bifurcation theory. The desired performance of absorbersis achieved by proper selection of design parameters that are included inthe formulation. Experimentation is carried out on an existing torsionalvibration facility that allows for control of the mean rotor speed andfluctuating torque components. Specific topics being investigated include:the application of absorbers to reduce vibrations in rotating beams, the useof absorbers for shake reduction, the avoidance of localization in absorbersystems, absorbers for multi-harmonic excitation, and the transientperformance of absorbers. By systematic investigation of nonlinearbehavior, instabilities, and vibration localization, this study offersstrategies for avoiding effects that limit the performance of absorbersystems, and the results are used to provide useful recommendations forimplementation of systems of absorbers in rotating systems.*******************************************************************