In any engineering analysis or investigation, a complex system is first visualized as a physical model. Then the mathematical model of the same is developed, and then the further analysis is carried out. By this we get good knowledge of the behavior of the system at lesser costs. This paper presents a similar technique adopted for the study of vibration characteristics of SMA Hybrid Composite Beam (SHCB) with one end fixed. Free vibration study is undertaken on a SHCB which is constructed by reinforcing SMA wires in a matrix of epoxy resin along with glass fibers. Homogenization for the determination of effective properties of the composite is carried out based on rule of mixtures. Analytical calculations are done to estimate the static deflections and free vibration frequencies of the SHCB. Static FEA and free vibration analysis are conducted using ANSYS workbench. FEA results are substantiated with the theoretical values.

Topics
Composite materials, Mathematical modeling, Chemical compounds
1.
Jan
 
Van Humbeeck
, “
Shape Memory Alloys: A Material and a Technology
”,
Advanced Engineering Materials
 
2001
(
11
), pp
837
–
850
.
https://doi.org/10.1002/1527-2648(200111)3:11<837::AID-ADEM837>3.0.CO;2-0
Google Scholar
Crossref
Search ADS
 
2.
S.
 
Marfia
,
E.
 
Sacco
, “
Micromechanics and Homogenization of SMA-Wire-Reinforced Materials
”,
Journal of Applied Mechanics ASME March
 
2005
(
72
), pp
259
–
268
.
https://doi.org/10.1115/1.1839186
Google Scholar
 
3.
Chetan S.
 
Jarali
 and
S.
 
Raja
, “
Homogenization and Pseudoelastic Behavior of Composite Materials Reinforced with Shape Memory Alloy Fibers
”,
Journal of Composite Materials
 
2008
(
42
), pp
1685
–
1707
.
https://doi.org/10.1177/0021998308092201
Google Scholar
 
4.
Chetan S.
 
Jarali
,
S.
 
Raja
,
A. R.
 
Upadhya
, “
Micro-mechanical behaviors of SMA composite materials under hygro-thermo-elastic strain fields
”,
International Journal of Solids and Structures
 
2008
(
45
), pp
2399
–
2419
.
https://doi.org/10.1016/j.ijsolstr.2007.12.003
Google Scholar
 
5.
H.
 
Tobushi
,
S.
 
Hayashi
,
K.
 
Hoshio
,
Y.
 
Makino
,
N.
 
Miwa
, “
Bending Actuation Characteristics of Shape Memory Composite with SMA and SMP
”,
Journal Of Intelligent Material Systems And Structures
,
2006
(
17
), pp
1075
–
1081
.
https://doi.org/10.1177/1045389X06064885
Google Scholar
 
6.
Basavaraj
 
Noolvi
,
Raja
 
S
,
Shanmukha
 
Nagaraj
, “
Fabrication and Testing Of SMA Composite Beam with Shape Control
”,
AIP Conference Proceedings
 
1859
,
020055
(
2017
).
https://doi.org/10.1063/1.4990208
Google Scholar
Crossref
Search ADS
 
7.
Basavaraj
 
Noolvi
,
Raja
 
S
,
Shanmukha
 
Nagaraj
, “
Actively Tuned Vibration Absorber using Smart Adaptive Composites
”,
Materials Today: Proceedings
 
4
, pp.
3506
–
3512
(
2017
).
https://doi.org/10.1016/j.matpr.2017.02.241
Google Scholar
Crossref
Search ADS
 
8.
M Y
 
Serry
,
W A
 
Moussa
 and
D W
 
Raboud
, “
Finite-Element Modeling of Shape Memory Alloy Components in Smart Structures, Part II: Application on Shape-Memory-Alloy–Embedded Smart Composite for Self-Damage Control
”,
Proceedings of the International Conference on MEMS, NANO and Smart Systems (ICMENS’03)
, IEE, 7695/03(
2003
).
Google Scholar
 
9.
Z. G.
 
Wei
,
R.
 
Sandstrom
,
S.
 
Miyazaki
, “
Shape memory materials and hybrid composites for smart systems
”,
Journal Of Materials Science
 
1998
(
33
), pp
3763
–
3783
.
https://doi.org/10.1023/A:1004674630156
Google Scholar
 
10.
Autar K.
 
Kaw
, “Mechanics of composite materials”, 2nd edition,
Published by CRC Press Taylor & Francis Group
,
2006
.
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