Theory of the Dynamic Behavior of Piezoelectric Beam Bending Actuators

2015 ◽  
Vol 775 ◽  
pp. 363-367 ◽  
Author(s):  
Yin Bo Li ◽  
Ming Hui Yao ◽  
Wei Zhang

This article focuses on the complicated dynamics behavior of the nonlinear vibrations of the bistable cantilevered piezoelectric beam. The base excitation on the beam is the harmonic load. We studied the jump phenomenon of the system by sweeping the voltage and displacement, the experimental results show that the bistable piezoelectric cantilever beam reflects the obvious hard spring characteristics. In addition, the influence of the distance between the magnets and the thickness of the piezoelectric layer on the dynamic behavior also being studied. Experimental results show that the distance between the magnets is closely impact on the nonlinear dynamic responses of the system, there is an optimal distance between the magnets causes the most complex dynamic behavior in frequency domain. System appears period doubling bifurcation into chaos many times when the distance between magnets is appropriate.


2020 ◽  
Vol 21 (6) ◽  
pp. 619
Author(s):  
Kostandin Gjika ◽  
Antoine Costeux ◽  
Gerry LaRue ◽  
John Wilson

Today's modern internal combustion engines are increasingly focused on downsizing, high fuel efficiency and low emissions, which requires appropriate design and technology of turbocharger bearing systems. Automotive turbochargers operate faster and with strong engine excitation; vibration management is becoming a challenge and manufacturers are increasingly focusing on the design of low vibration and high-performance balancing technology. This paper discusses the synchronous vibration management of the ball bearing cartridge turbocharger on high-speed balancer and it is a continuation of papers [1–3]. In a first step, the synchronous rotordynamics behavior is identified. A prediction code is developed to calculate the static and dynamic performance of “ball bearing cartridge-squeeze film damper”. The dynamic behavior of balls is modeled by a spring with stiffness calculated from Tedric Harris formulas and the damping is considered null. The squeeze film damper model is derived from the Osborne Reynolds equation for incompressible and synchronous fluid loading; the stiffness and damping coefficients are calculated assuming that the bearing is infinitely short, and the oil film pressure is modeled as a cavitated π film model. The stiffness and damping coefficients are integrated on a rotordynamics code and the bearing loads are calculated by converging with the bearing eccentricity ratio. In a second step, a finite element structural dynamics model is built for the system “turbocharger housing-high speed balancer fixture” and validated by experimental frequency response functions. In the last step, the rotating dynamic bearing loads on the squeeze film damper are coupled with transfer functions and the vibration on the housings is predicted. The vibration response under single and multi-plane unbalances correlates very well with test data from turbocharger unbalance masters. The prediction model allows a thorough understanding of ball bearing turbocharger vibration on a high speed balancer, thus optimizing the dynamic behavior of the “turbocharger-high speed balancer” structural system for better rotordynamics performance identification and selection of the appropriate balancing process at the development stage of the turbocharger.


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