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DAMPING IMPROVEMENT OF A CANTILEVER BEAM USING TWO PATCHES OF
FLUIDIC FLEXIBLE MATRIX COMPOSITE TUBES
SHIREN O. MUHAMMAD & NAZHAD A. HUSSAIN
Department of Mechanical and Mechatronics Engineering, Salahaddin University - Erbil, Iraq
ABSTRACT
Fluidic Flexible Matrix Composite (F
2
MC) tubes are promising fiber reinforced tubes, they can passively provide
damping and vibration absorption. This study focuses on analyzing F
2
MC tube’s response to add damping to cantilever
structures. A novel cantilever beam vibration absorber encompassing different models of a patch of F²MC tubes has been
examined. A new mathematical model was performed for a system that composed of two short patches instead of one,
bonded in various positions on the beam. The study extracted transfer functions of reduced mathematical models of the
beam into MATLAB
®
software. It focused on the amplitude and frequency of resonance of mode shapes. The results
demonstrated that F
2
MC tubes that composed of two layers of composite fiber reinforced layers from inside reduced the
first mode amplitude by 12.12dB. Whereas, increasing the number of patches reduced the first resonance amplitude by
11.12dB. Through comparing the integration of two patches with one patch, single tube is more powerful than a couple of
tubes, it gains a reduction of 14dB in First mode shape amplitude. Depending on the above results the study utilized a reduction
in both amplitude and frequency of resonance by 20.7dB and 53Hz in FRF plot, respectively.
KEYWORDS: Vibration Absorbers, F
2
MC Tubes, Fiber Reinforced Layers, Frequency Response Function,
Mathematical Model & Cantilever Beam
Received: Jun 18, 2019; Accepted: Jul 12, 2019; Published: Sep 11, 2019; Paper Id.: IJMPERDOCT201925
1. INTRODUCTION
Fluidic Flexible Matrix Composite (F
2
MC) tubes are a new class of tight, compromise smart and light weight fiber
reinforced composite laminates with high degree of anisotropy. The fibers oriented as ±α° with respect to the
longitudinal axis, the layers enclosed a working fluid. The fluid flow is controlled by valve and accumulator. These
devices are new candidates of vibration reducers and they can passively provide damping, vibration absorption,
and vibration isolation of the structures that directly connected with them.
The first idea of using FMC tubes was found by (Philen, Ying, Bakis, Wang, & Rahn 2006). The
authors took advantage from the FMC tube’s fiber reinforcement configuration and bulk modulus of working
fluid in closed valve scenario to obtain a variable stiffness adaptive smart structure that can be used as energy
absorbers. In another study, Ying et al. investigated the capacity of F
2
MC tubes for self-governing structural
tailoring (Ying Shan et al., 2009). They developed an analytical model to study the axial stiffness of a single
F
2
MC tube. Some mechanical properties had been tailored, such as: inner liner modulus of elasticity, F
2
MC
tube’s thickness and working fluid’s bulk modulus. As a result, a flexible FMC tube with a wider range of tailor
ability had been obtained. Also, (Philen, 2010) investigated on an active valve control for tuning the modulus
of F
2
MC tubes. They derived a simple model for finding the dynamic response of combined system including
composite tubes, control valves, and fluid flow rate inside them through experimental tests, with
Original Article
International Journal of Mechanical and Production
Engineering Research and Development (IJMPERD)
ISSN (P): 2249–6890; ISSN (E): 2249–8001
Vol. 9, Issue 5, Oct 2019, 287–304
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