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Linear and Nonlinear Analysis of Piezoelectric Based Vibration Absorber with Acceleration Feedback

机译：加速度反馈压电基振动吸收器的线性和非线性分析

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摘要

In the present paper, analysis of a single degree of freedom spring-mass-damper primary system with a piezoelectric based dynamic vibration absorber (DVA) is carried out. The proposed DVA model consisting of a lead zirconate titanate (PZT) actuator which is connected in series with a spring. The analysis is done in two section by considering a static force and a harmonic force acting on the primary system respectively. In the first section linear stiffness is considered in the primary mass and in the second section cubic nonlinear stiffness along with the linear stiffness is considered. The voltage applied to the stack PZT actuator is considered to be proportional to the acceleration of the primary mass. Method of multiple scales (MMS) is used to obtain the system response in the nonlinear analysis and compared with linear analysis. For linear system optimum system parameters of the absorber are obtained using fixed point theory of optimization and Routh's stability criterion is used for stability analysis. Primary resonance condition is studied in the nonlinear analysis. In the proposed model as a spring is connected in series with PZT actuator for which force developed by the absorber to suppress the vibration of the primary system is not solely depend upon the voltage, so one can use small voltage to reduce the vibration of primary system.
机译：在本文中，进行分析具有压电基动态振动吸收器（DVA）的单一自由度的春天质量阻尼器初级系统。所提出的DVA模型由钛酸钛酸盐（PZT）致动器组成，其与弹簧串联连接。通过考虑分别在主系统上作用的静态力和谐波，分析分为两个部分。在第一部分中，在主质量中考虑线性刚度，并且在第二部分中考虑了立方体非线性刚度以及线性刚度。施加到堆叠PZT致动器的电压被认为与主要质量的加速度成比例。多个尺度（MMS）的方法用于获得非线性分析中的系统响应，并与线性分析进行比较。对于使用定点理论获得吸收器的线性系统最佳系统参数，并且Routh的稳定性标准用于稳定性分析。在非线性分析中研究了初级共振条件。在所提出的模型中，作为弹簧与PZT致动器串联连接，通过吸收器抑制初级系统的振动的PZT致动器不仅仅取决于电压，因此可以使用小电压来减少主系统的振动。 。

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