Journal of Material Science and Mechanical Engineering (JMSME)
Print ISSN: 2393-9095; Online ISSN: 2393-9109; Volume 2, Number 5; April-June, 2015 pp. 404-408
© Krishi Sanskriti Publications
http://www.krishisanskriti.org/jmsme.html
Shape Memory Composite as Actively Tuned
Vibration Absorber
Basavaraj Noolvi
1
, S. Raja
2
, Shanmukha Nagaraj
3
and Amith Kumar S N
4
1
Research Scholar, R V College of Engineering Acharya Institute of Technology, Bangalore
2
Scientist, National Aerospace Laboratories, Bangalore
3
Mechanical Engineering Department, R V College of Engineering, Bangalore
4
Mechanical Engineering Department, Dr. Ambedkar Institute of Technology, Bangalore
E-mail:
1
braj.noolvi@gmail.com,
2
raja@css.nal.res.in,
3
shan.nagaraj@gmail.com,
4
amithkumar59@gmail.com
Abstract—Shape memory materials (SMMs) are known for their
excellent vibration absorption properties. The current work is
focused on study of vibration absorption characteristics of Shape
Memory Composites (SMCs), as tuned vibration absorber has been
taken up. Thin cantilever plate of SAC works as the absorber system
in the configuration.
1. INTRODUCTION
A well-established vibration control device is the tuned
vibration absorber (TVA). Even though such a device may be
have different shapes it acts like a spring-mass system. For
simplicity, a beam-like TVA can be used. One of the
drawbacks of such a device, however, is that it can detune
during operation because of changes in forcing frequency. To
maintain its tuned condition a variable stiffness element is
required so that the natural frequency of the absorber can be
adjusted in real-time.A beam-like TVA has been realized
using shape memory alloy (SMA) by Rustighi et al [1]. Such a
material changes its mechanical properties with temperature.
By varying the temperature of the beam the absorber can be
tuned in order to maintain the vibration of the host structure to
be very small. Many researchers studied vibration control
using SMA. Baz et al. demonstrated SMA actuation capability
to control the vibration frequencies of composite beams by
activating optimal sets of embedded SMA wires [2]. The
presented work focuses on the application of Smart adaptive
composite (SAC) or shape memory composite (SMC) in
active vibration control.
2. OVERVIEW OF TUNED VIBRATION ABSORBER
None of the structures such as buildings, bridges, towers, or,
machines or machine partsthat may be composedof many sub-
assemblies can be made completely rigid [3]. They move in
response to natural disturbances. In particular, every member
has a set of special frequencies called natural frequencies, or
resonance frequencies, at which it will respond particularly
severely. When subjected to periodic forces at one of these
natural frequencies, themember may respond with vibrations
of amplitude large enough to affect the normal functioning of
the member itself or its assembly or perhaps even dangerous
to itself or to the assembly. If engineers expect a member to be
subject to a periodic force at or near one of its natural
frequencies, they may incorporate into its design a special
device called a vibration absorber which is just a secondary
spring mass system attached to the main system as shown in
Fig. .(1). This is a device that suppresses vibration of the
structure at one of its natural frequencies by transferring the
energy that would cause such a vibration into vibration of a
secondary mass.
However complicated a system may bewe are concerned only
with only oneof its natural frequencies, and hence it can be
modeled as a spring masssystem whose resonant frequency is
the troublesome natural frequency of the system. Moreover,
though there can be any degree of sophistication in design, a
tuned vibration absorber is in essence a secondary spring mass
system attached to the primary system. Therefore the system
(mass m
1
and spring constant k
1
) coupled with tuned vibration
absorber (mass m
2
and spring constant k
2
) can be modeled
using the coupled spring-mass system in Fig. 1.The system of
differential equations describing the motion of such a spring
mass system is given by,
1 1 1 1 2 1 2 1
sin mx kx k x x F t
2 2 2 2 1
mx k x x
(1.1)
A particular solution of this system can be obtained by the
method of undetermined coefficients for a single second order
equation, in which x
1
, and x
2
are each of the form
1 2
sin cos c t c t . But since there are no first order
derivatives, and the second derivative of a sine function is still
a sine function, we can simplify the solution in the form:
1
sin x A t
,
2
sin x B t
(1.2)