基于被动变等效质量双端非线性元件的减振特性研究

Vibration control using two-terminal component with equivalent mass is one of the most popular topics for passive vibration control. However, due to the immutability of equivalent mass and the lack of steady-state response analysis methods for this complex system, the development of this research is seriously hindered. For the complexity of two-terminal non-linear component with passive variable equivalent mass, a new frequency-scanning iterative harmonic method will be proposed to analyze the steady-state harmonic response for this component in this project. The relationship between the passive variable equivalent mass and the steady-state harmonic response for this component will be revealed. A new vibration suppression system will be proposed based on this nonlinear component. The comparisons between this vibration suppression system and the traditional system will be carried out through the numerical analysis software under the same initial conditions. By combining the results of steady-state harmonic response analysis and vibration simulation of the vibration suppression system, the multi-objective optimization algorithm will be applied to optimize the relevant parameters for vibration suppression system of two-terminal non-linear component with passive variable equivalent mass. The relationship between the passive variable equivalent mass, the optimization of the relevant parameters and the results of vibration suppression will be demonstrated. Focusing on the two-terminal non-linear component with passive variable equivalent mass, the steady-state harmonic response and vibration suppression mechanism of this component will be analyzed, which provides the theoretical basis for the design, analysis , popularization and application of this component. This project shows scientific significance and great value for application.

利用等效质量双端元件进行振动控制是目前被动振动控制的热点之一，然而等效质量的不可变性以及该复杂系统稳态响应分析方法的缺失，严重阻碍了该研究发展。本项目针对被动变等效质量双端非线性元件这一复杂系统，提出一种新的频普扫描迭代谐波法，分析该元件的稳态谐波响应，并分析等效质量的被动改变与该元件稳态谐波响应变化的内在联系；基于该非线性元件，构建一种新的减振系统，并在相同参数条件下，与传统减振系统通过数值分析软件进行减振效果的仿真比较；结合被动变等效质量双端非线性元件的稳态谐波响应分析结果与该减振系统的振动仿真结果，利用多目标优化算法，优化基于被动变等效质量双端非线性元件减振系统的相关参数，并分析等效质量的被动改变对参数优化及减振效果的影响。本项目围绕被动变等效质量双端非线性元件，对其稳态谐波响应及减振机理进行分析，为该元件的设计分析乃至推广应用提供了理论依据，具有显著的科学意义及不可忽视的应用价值。

项目背景.本项目来源于2020年国家自然科学基金青年项目，项目名称：基于被动变等效质量双端非线性元件的减振特性研究，重庆工商大学作为承担单位，项目负责人杨帅。.项目主要内容.本项目针对被动变等效质量双端非线性元件这一复杂系统，提出了一种新的频普扫描迭代谐波法，分析该元件的稳态谐波响应，并分析等效质量的被动改变与该元件稳态谐波响应变化的内在联系；构建了一种新的减振系统，并在相同参数条件下，与传统减振系统通过数值分析软件进行减振效果的仿真比较；结合被动变等效质量双端非线性元件的稳态谐波响应分析结果与该减振系统的振动仿真结果，利用多目标优化算法，优化基于被动变等效质量双端非线性元件减振系统的相关参数，并分析等效质量的被动改变对参数优化及减振效果的影响。本项目围绕被动变等效质量双端非线性元件，对其稳态谐波响应及减振机理进行了分析，为该元件的设计分析乃至推广应用提供了理论依据。.项目终要结果及科学意义.1.提出新的频谱扫描迭代谐波法分析被动变等效质量双端非线性元件的稳态谐波响应.由于被动变等效质量双端非线性元件结构的复杂性，利用现有的谐波稳态响应法进行系统的响应分析非常困难。被动变等效质量双端非线性元件稳态谐波响应分析方法的缺失对被动变等效质量双端非线性元件设计、分析乃至以后的应用推广都带来了极大的阻碍。本项目提出的频谱扫描迭代谐波法，可以有效的分析该复杂元件的稳态谐波响应，极大提高了双端非线性元件设计效率。.2.提出了基于被动变等效质量双端非线性元件的性减振系统.由于传统的恒等效质量双端元件不能被动的产生可变等效质量，因此相关参数一旦选定，该元件的振动特性就会被限定。针对这一情况，本项目提出了基于被动变等效质量双端非线性元件的减振系统，并对其减振机理进行分析，在验证减振效果的同时，还揭示了等效质量的被动改变对参数优化及减振效果的影响，为新型减振系统的研究设计提供了科学严谨的理论基础。

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