【作者】 袁炜；

【导师】 王卫荣；

【作者基本信息】 合肥工业大学 ， 机械电子工程， 2017， 硕士

【摘要】 当前,线性振动和线性隔振理论已经被研究地比较透彻,并且在工程实际问题中得到了广泛的应用,很好地解决了许多实际工程问题。然而,实际问题中产生的振动绝大部分都带有非线性因素。但非线性隔振理论及应用当前仍处于不断探索研究阶段,低频振动的隔振仍然在工程领域中面临挑战。从振动传递率曲线可知,如果激励频率不小于隔振系统固有频率的2^1/2倍时,那么系统才会达到隔振效果。众所共知,弹性元件刚度越小,隔振系统的固有频率也相应减小,却会使被隔振物体产生的静位移量变大以及系统稳定性变差。因此,为了克服这个不利影响,研究人员采用不同的准零刚度隔振系统达到目的。本文在经过借鉴和吸收前人的研究成果后,分析、讨论并设计了一种准零刚度隔振系统。该系统是由一根具有正刚度特性的垂直线性弹性元件和具有负刚度特性的四个磁力弹簧连杆结构组成,具有良好的隔振效果。本文的主要内容如下:（1）首先,设计了一种准零刚度隔振系统模型,并且对该模型进行了理论上的研究分析,包括无垂直弹性元件和有垂直弹性元件时隔振系统的静力学分析。（2）其次,对准零刚度隔振系统进行了动力学建模分析,运用了谐波平衡法求解了简谐激励作用下隔振系统的响应,获得了系统的幅频特性方程,讨论了系统参数对幅频特性的影响。然后,对准零刚度隔振系统的力传递特性和位移传递特性进行了讨论分析,比较详尽系统地讨论了准零刚度隔振系统的传递特性。（3）最后,基于准零刚度隔振系统的基础上,建立起了准零刚度主动隔振系统的数学模型,同时基于滑模变结构控制理论的基础上,由于滑模控制会不可避免地出现抖振现象,因此采用RBF神经网络来降低抖振,设计了一种RBF神经网络PID滑模控制器。更多还原

【Abstract】 Currently,linear vibration and linear vibration isolation theory have been studied more thoroughly,and used in the engineering practical problems to solve a lot of practical engineering problems.However,most of the vibration caused by practical problems has nonlinear factors.But,the theory and application of nonlinear vibration isolation is still in the stage of continuous exploration and research,and low frequency vibration isolation still faces challenges in the field of engineering.From the vibration transmissibility curve,if the excitation frequency is not less than 2^1/2 times the natural frequency of the isolation system,then the system will achieve the vibration isolation effect.Therefore,in order to overcome the adverse effects,the researchers use different quasi zero stiffness vibration isolation system to achieve the purpose.In this thesis,a quasi-zero stiffness vibration isolation system is designed and analyzed by drawing on and absorbing the previous research results.The system is composed of a linear elastic element with positive stiffness and four magnetic spring rods with negative stiffness,having good vibration isolation effect.The main contents of this thesis are as follows:（1）Firstly,a quasi-zero stiffness vibration isolation system model is designed,and the model is analyzed on the basis of the analysis,including the static analysis of the vibration system without vertical elastic element and vertical elastic element.（2）Secondly,dynamic model of the quasi-zero stiffness vibration isolation system is analyzed,and the solution of the response of the vibration isolation system under harmonic excitation,the amplitude frequency characteristic equation of the system and the influence of system parameters on the amplitude frequency characteristics of the discussion.（3）Finally,based on the quasi-zero stiffness vibration isolation system,the stiffness active vibration isolation system’s the mathematical model is established.And based on the sliding mode variable structure control theory,the sliding mode control will inevitably appear chattering,so using RBF neural network to reduce the chattering,and the design of a RBF neural network controller.更多还原