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Design of a novel quasi-zero-stiffness based sensor system for m...
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This study presents the analysis and design of a novel quasi-zero-stiffness (QZS) based vibration sensor system for measuring absolute displacement of vibrating platforms. The QZS property is employed to create a broadband vibration-free point for the absolute displacement measurement. Theoretic analysis is conducted for understanding of the influence of critical structure parameters on system measurement performance. Experimental testing results with a prototype verify the effectiveness of this
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Design of a Novel Quasi-Zero-Stiffness Based Sensor
System for Measurement of Absolute Vibration
Motion*
Yu Wang
1
1 Department of Mechanical Engineering
The Hong Kong Polytechnic University
Hong Kong, PR China
Xingjian Jing
1,2
2 Hong Kong Polytechnic University Shenzhen Research
Institute, Shenzhen, PR China
xingjian.jing@polyu.edu.hk
Abstract— This study presents the analysis and design of a
novel quasi-zero-stiffness (QZS) based vibration sensor system
for measuring absolute displacement of vibrating platforms. The
QZS property is employed to create a broadband vibration-free
point for the absolute displacement measurement. Theoretic
analysis is conducted for understanding of the influence of
critical structure parameters on system measurement
performance. Experimental testing results with a prototype
verify the effectiveness of this novel sensor system.
Keywords— Quasi-zero-stiffness system, Vibration
measurement, Displacement sensor systems, Nonlinear stiffness
I. INTRODUCTION
Vibration problems are commonly existing in industrial
fields, which may cause mechanical structure damage and/or
un-comfort to users. Different methods have been developed
for vibration isolation including passive, active and semi-active
methods [16,17]. Usually, isolation systems composed by
simple springs and dampers are very popular in engineering
practice as a cheap and passive vibration isolation method.
There are also many studies on how to improve these passive
vibration isolation systems by using novel structures [1-3]. In
active or semi-active vibration isolation, magnetorheological
fluid (MRF) dampers are extensively studied [4-6]. However,
to apply active vibration isolation, one key factor is to acquire
accurate vibration signals including amplitude, velocity,
acceleration and/or frequency. For example, in automotive
industry, acceleration sensors are used widely as the
measurement of vibration motion. However, this method often
faces problems such as time delay and error accumulation. In
order to achieve the absolute vertical displacement of a vehicle,
the signal from the acceleration sensor needs to be integrated to
acquire the velocity signal. One more time of integration gives
the position signal. The problem is that accumulative errors
could be very too big to be used and the time delay may
deteriorate the measurement result seriously. For a dynamic
system, the introduced time delay will also bring complexity
for data reorganization and analysis, and also leads to
instability of the feedback control loop. Some researchers
proposed to use laser distance sensors [7] or GPS devices to
measure absolute displacement, but the cost and space needed
to install them may be a handicap.
Several quasi-zero-stiffness (QZS) systems have been
studied as alternative and excellent passive vibration isolation
methods in the literature [8, 9]. Recently, the feasibility of
application of the QZS systems to vibration measurement has
been theoretically investigated by the authors in [10]. Based on
the QZS characteristic [11], the QZS based sensor can create
an absolute stable point in a broadband frequency domain
which can thus be possibly employed for vibration
measurement very well. This method can solve the problems of
time delay and cumulative errors mentioned above since the
relative displacement between the created stable point and
other vibrating points can be easily measured by using various
sensors such as load cells. Based on this idea, a novel QZS-
based sensor system is developed, analyzed, and tested
systematically in this study. It is shown that the QZS system
can be well employed for absolute displacement measurement
in vibrating platforms such as vehicles with rather high
accuracy in a broadband frequency domain. Different from the
theoretical results in [11], critical design factors (including pre-
deformation ratios, frictions, linkage mass etc) which affect the
accuracy of this novel sensor system in application are
investigated carefully with experiment validations. The
measurement signal with this sensor can be applied to active
vibration isolation/control systems such as active suspensions
or semi-active suspensions on vehicles [13-15]. The proposed
system is easy to design and fabricate, and corresponding
design parameters can be adjusted conveniently to fulfil
measurement accuracy.
II. THE
PROPOSED SENSOR SYSTEM
In the proposed model showed in Fig. 1, two extension
springs hook the upper surface and bottom surface of the mass
separately to limit the mass to vibrate in the vertical direction
and provide positive stiffness. This layout also offers the
advantage of more stability because extension springs do not
have the problem of bending as compression springs. Four
arms with compression springs are distributed around the mass.
The springs are assembled with pre-deformation which offers
the feature of negative stiffness. Each arm are designed to have
sharp ends which can be inserted into the grooves on the mass
and mounting plates to reduce friction and limit the vibration
amplitude of the mass. This feature can also help to limit
rotational motion. Screws are used on the outside of the arms
*The work is partially supported by a NSFC project of China (No
61374041) and a GRF project of Hong Kong RGC (No.15206514).
978-1-4799-7862-5/15/$31.00 © 2015 IEEE
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