摘要
为了研究放大机构和负刚度装置的振动控制效果,对一个含放大机构的负刚度动力吸振器减振系统进行研究,建立了减振系统的动力学分析模型,获得振动系统的振动微分方程。采用增量谐波平衡法获得系统的解析解,并通过数值模拟验证了该解析解的正确性。分析了主系统阻尼对振动系统幅频响应曲线的影响规律,考察了放大机构的放大比、动力吸振器阻尼系数、动力吸振器负刚度系数对系统减振效果的影响。采用遗传算法对振动系统进行参数优化设计,结果表明,优化后的振动系统在较宽的频带范围内获得了很好的振动抑制效果。可见,同时含有放大机构与负刚度装置的动力吸振器有一定的可行性,为设计新型动力吸振器模型提供了参考。
In order to study the vibration control effect of amplifying mechanism and negative stiffness element,a dynamic vibration absorber with negative stiffness element using amplifying mechanism was studied.A dynamic analysis model of the vibration reduction system was established,and the vibration differential equation of the vibration system was obtained.The incremental harmonic balance method was used to obtain the analytical solution of the system,and the correctness of this analytical solution was verified through numerical simulation.The influence law of the damping of the main system on the amplitude-frequency response curve of the vibration system was analyzed.The effects of the amplification ratio of the amplifying mechanism,the damping coefficient of the dynamic vibration absorber,and the negative stiffness coefficient of the dynamic vibration absorber on the vibration reduction effect of the system were investigated.The genetic algorithm was used to optimize the parameters of the vibration system.The results show that the optimized vibration system achieves a good effect of reducing vibrations within a relatively wide frequency band.It can be concluded that the dynamic vibration absorber with both amplifying mechanism and negative stiffness element is feasible.The results provide a reference for designing a new dynamic vibration absorber model.
作者
周龙华
赵艳影
王伟凯
周家才
涂建文
ZHOU Long-hua;ZHAO Yan-ying;WANG Wei-kai;ZHOU Jia-cai;TU Jian-wen(School of Aeronautics and Astronautics,Nanchang Hangkong University,Nanchang 330063,China)
出处
《科学技术与工程》
北大核心
2025年第23期9740-9747,共8页
Science Technology and Engineering
基金
国家自然科学基金(12072140)。
关键词
动力吸振器
放大机构
负刚度
优化设计
增量谐波平衡法
dynamic vibration absorber
amplifying mechanism
negative stiffness
optimal design
incremental harmonic balance method
