基于双稳态发电系统的非线性吸振器动力学特性研究
发布时间：2018-08-23 15:21
【摘要】：环境中振动能量非常普遍,将振动能收集转换成电能技术受到了研究者的广泛关注,研究双稳态发电系统和非线性吸振器有着很重要的研究意义。本文将双观态电磁式能量捕获系统作为非线性吸振器,结合非线性动力学理论和数值仿真的方法对基于双稳态发电系统的非线性吸振器的复杂动力学特性进行了研究,主要内容有:根据主系统附加双稳态吸振器系统建立了系统在简谐激励下动力学方程,利用Routh-Hurwitzz判据分析系统在平衡点的稳定性,并利用数值仿真研究激励频率和激励幅值对系统的分岔影响情况和结构参数对吸振器工作性能的影响,得到了双稳态吸振器系统王现出两个稳定平衡点(势阱)和一个不稳定平衡点(势垒),发现非线性吸振器在低频时便可越过势垒发生大幅混沌运动,并且频带宽利于发电,改变激励幅值,吸振器和主系统可由小幅运动变成大幅运动。通过对结构参数的优化,主系统发生共振时的振幅逐渐降低,非共振时主系统幅值较低的同时,吸振器的振幅逐渐变大,利于发电。研究了系统在随机激励下的动力学特性,借助数值仿真分析了高斯白噪声激励下和有色噪声激励下噪声强度、系统初值、系统参数等对非线性吸振器减振及发电的影响规律,得出当噪声强度很小时,吸振器只在一个平衡点附近做小幅运动,随着噪声强度的增大,开始跨过势垒在两势阱之间做大幅混沌运动且越过势垒的次数增多,越有利于发电。通过各参数的逐步优化,主系统振动能量及幅值变小的同时,吸振器的输出功率增大。将非线性阻尼引入到双稳态电磁式振动能量捕获器中,提出了考虑非线性阻尼的双稳态吸振器,借助数值仿真对比了考虑非线性阻尼的吸振器和考虑线性阻尼的吸振器对主系统减振效果,分析了非线性阻尼对主系统和吸振器的动力学特性、振动能量及平均输出功率的影响,得到结论考虑非线性阻尼的双稳态吸振器减振效果更好,不同的非线性阻尼系数对主系统和吸振器的振动能量均产生了影响。
[Abstract]:Vibration energy is very common in the environment. The technology of converting vibration energy into electric energy has been paid more and more attention by researchers. It is very important to study bistable power generation system and nonlinear vibration absorber. In this paper, the bistatic electromagnetic energy capture system is used as nonlinear vibration absorber, and the complex dynamic characteristics of nonlinear vibration absorber based on bistable power generation system are studied in combination with nonlinear dynamics theory and numerical simulation method. The main contents are as follows: according to the main system with bistable vibration absorber system, the dynamic equation of the system under harmonic excitation is established, and the stability of the system at the equilibrium point is analyzed by using Routh-Hurwitzz criterion. The influence of excitation frequency and amplitude on the bifurcation of the system and the influence of structural parameters on the performance of the vibration absorber are studied by numerical simulation. Two stable equilibrium points (potential well) and one unstable equilibrium point (potential barrier) of bistable vibration absorber system are obtained. It is found that the nonlinear vibration absorber can cross the potential barrier and have a large chaotic motion at low frequency, and the frequency bandwidth is favorable for generating electricity. By changing the amplitude of excitation, the vibration absorber and the main system can change from small motion to large motion. By optimizing the structural parameters, the amplitude of the main system is gradually decreased when resonance occurs, while the amplitude of the main system is lower when it is not resonant, and the amplitude of the absorber increases gradually, which is conducive to generating electricity. The dynamic characteristics of the system under random excitation are studied. The effects of Gao Si white noise excitation and colored noise excitation, system initial values and system parameters on the vibration reduction and generation of nonlinear vibration absorbers are analyzed by numerical simulation. It is concluded that when the noise intensity is very small, the vibration absorber only makes a small motion near the equilibrium point. With the increase of the noise intensity, the chaotic motion between the two potential wells and the number of times of crossing the barrier increases, which is more favorable for power generation. Through the gradual optimization of the parameters, the vibration energy and amplitude of the main system become smaller, and the output power of the absorber increases. The nonlinear damping is introduced into the bistable electromagnetic vibration energy trap, and a bistable vibration absorber considering nonlinear damping is proposed. By means of numerical simulation, the vibration absorbers with nonlinear damping and those with linear damping are compared, and the dynamic characteristics of nonlinear damping to the main system and absorber are analyzed. It is concluded that the bistable vibration absorber with nonlinear damping is more effective, and different nonlinear damping coefficients have an effect on the vibration energy of both the main system and the absorber.
【学位授予单位】：西安理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM619
本文编号：2199471
[Abstract]:Vibration energy is very common in the environment. The technology of converting vibration energy into electric energy has been paid more and more attention by researchers. It is very important to study bistable power generation system and nonlinear vibration absorber. In this paper, the bistatic electromagnetic energy capture system is used as nonlinear vibration absorber, and the complex dynamic characteristics of nonlinear vibration absorber based on bistable power generation system are studied in combination with nonlinear dynamics theory and numerical simulation method. The main contents are as follows: according to the main system with bistable vibration absorber system, the dynamic equation of the system under harmonic excitation is established, and the stability of the system at the equilibrium point is analyzed by using Routh-Hurwitzz criterion. The influence of excitation frequency and amplitude on the bifurcation of the system and the influence of structural parameters on the performance of the vibration absorber are studied by numerical simulation. Two stable equilibrium points (potential well) and one unstable equilibrium point (potential barrier) of bistable vibration absorber system are obtained. It is found that the nonlinear vibration absorber can cross the potential barrier and have a large chaotic motion at low frequency, and the frequency bandwidth is favorable for generating electricity. By changing the amplitude of excitation, the vibration absorber and the main system can change from small motion to large motion. By optimizing the structural parameters, the amplitude of the main system is gradually decreased when resonance occurs, while the amplitude of the main system is lower when it is not resonant, and the amplitude of the absorber increases gradually, which is conducive to generating electricity. The dynamic characteristics of the system under random excitation are studied. The effects of Gao Si white noise excitation and colored noise excitation, system initial values and system parameters on the vibration reduction and generation of nonlinear vibration absorbers are analyzed by numerical simulation. It is concluded that when the noise intensity is very small, the vibration absorber only makes a small motion near the equilibrium point. With the increase of the noise intensity, the chaotic motion between the two potential wells and the number of times of crossing the barrier increases, which is more favorable for power generation. Through the gradual optimization of the parameters, the vibration energy and amplitude of the main system become smaller, and the output power of the absorber increases. The nonlinear damping is introduced into the bistable electromagnetic vibration energy trap, and a bistable vibration absorber considering nonlinear damping is proposed. By means of numerical simulation, the vibration absorbers with nonlinear damping and those with linear damping are compared, and the dynamic characteristics of nonlinear damping to the main system and absorber are analyzed. It is concluded that the bistable vibration absorber with nonlinear damping is more effective, and different nonlinear damping coefficients have an effect on the vibration energy of both the main system and the absorber.
【学位授予单位】：西安理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM619
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