The Dynamic Performance of Nonlinear Vibration Absorbers

摘要steven W. Shaw和Alan G. Haddow，密歇根州立大学，提案号0084947非线性吸振器的动态性能，提出的工作目标是提高对利用多个吸振器的系统的动态响应和性能的理解，并将这些知识提取到设计指南中。特别感兴趣的是离心驱动的钟摆吸收器，用于减少转子应用中的扭转振动。这些吸收器由悬挂在转子上的质量组成，这样它们的运动抵消了作用在转子上的波动扭矩的影响。本研究采用这种吸收剂的分析和实验。分析的重点是数学建模和预测技术的应用，包括微扰方法和对称动力分岔理论。通过适当选择配方中包含的设计参数来达到所需的吸收性能。实验是在现有的扭振设备上进行的，该设备允许控制平均转子转速和波动扭矩分量。正在研究的具体主题包括：吸收器在减少旋转梁振动中的应用，吸收器减振的使用，吸收器系统中局部化的避免，多谐波激励的吸收器，以及吸收器的瞬态性能。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吸收系统性能的影响的策略，并且结果用于为旋转系统中吸收系统的实现提供有用的建议。*******************************************************************

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.*******************************************************************