Experimental Characterization of a Cantilever Beam With a Fluidic Flexible Matrix Composite Vibration Treatment

Author(s):  
Bin Zhu ◽  
Matthew J. Krott ◽  
Christopher D. Rahn ◽  
Charles E. Bakis

Fluidic flexible matrix composite (F2MC) tubes can add damping to and absorb vibrations from a host structure. Transverse structural vibration couples with F2MC tube strain to pump fluid through an external circuit that can be tailored to provide vibration damping and/or absorption. In this paper, an F2MC-cantilever system, consisting of two F2MC tubes attached to a uniform cantilever beam, is designed, fabricated, and experimentally tested. The F2MC tubes are connected in parallel to one of two fluidic circuits. The first circuit uses an orifice to dissipate energy, reducing the first mode resonant response by over 20 dB and providing 5% damping. The second circuit uses an inertia track and an accumulator to produce a tuned absorber that replaces the first mode resonance peak with a valley, reducing the resonant response by 27 dB.

2015 ◽  
Vol 340 ◽  
pp. 80-94 ◽  
Author(s):  
Bin Zhu ◽  
Christopher D. Rahn ◽  
Charles E. Bakis

2015 ◽  
Vol 137 (2) ◽  
Author(s):  
Bin Zhu ◽  
Christopher D. Rahn ◽  
Charles E. Bakis

Fluidic flexible matrix composite (F2MC) tubes with resonant fluidic circuits can absorb vibration at a specific frequency when bonded to flexible structures. The transverse structural vibration applies cyclic axial strain to the F2MC tubes. The anisotropic elastic properties of the composite tube amplify the axial strain to produce large internal volume change. The volume change forces fluid through a flow port and into an external accumulator. The fluid inertance in the flow port (inertia track) and the stiffness of the accumulator are analogous to the vibration absorbing mass and stiffness in a conventional tuned vibration absorber. An analytical model of an F2MC-integrated cantilever beam is developed based on Euler–Bernoulli beam theory and Lekhnitskii's solution for anisotropic layered tubes. The collocated tip force to tip displacement analytical transfer function of the coupled system is derived. Experimental testing is conducted on a laboratory-scale F2MC beam structure that uses miniature tubes and fluidic components. The resonant peak becomes an absorber notch in the frequency response function (FRF) if the inertia track length is properly tuned. Tuning the fluid bulk modulus and total flow resistance in the theoretical model produces results that match the experiment well, predicting a magnitude reduction of 35 dB at the first resonance using an F2MC absorber. Based on the experimentally validated model, analysis results show that the cantilever beam vibration can be reduced by more than 99% with optimally designed tube attachment points and flow port geometry.


Author(s):  
Kentaro Miura ◽  
Bin Zhu ◽  
Christopher D. Rahn ◽  
Edward C. Smith ◽  
Charles E. Bakis

Fluidic Flexible Matrix Composite (F2MC) tubes are a new class of high-authority and low-weight fluidic devices that can passively provide vibration damping, absorption, and isolation. In this paper, transverse cantilever beam vibration causes strain-induced fluid pumping in F2MC tubes bonded to the beam surface, generating flow through a fluidic circuit. The F2MC tubes and fluidic circuit are designed to significantly reduce moment and shear transmission at the root of the cantilever beam. An analytical model of a cantilever beam with F2MC tubes is used to perform a parametric study via Monte Carlo methods. An isolator is designed that simultaneously attenuates root shear and moment transmission by over 99% at the first bending mode. By modifying the fluidic circuit dimensions and F2MC tube attachment locations, over 99% root shear and moment transmission attenuation is achieved for the second beam bending mode. The tunability and pumping efficiency of the F2MC tube makes it a promising candidate for passive vibration control applications, including aerospace structures such as wings and rotorcraft landing gear.


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