Fluidic flexible matrix composite damping treatment for a cantilever beam

Abstract This paper presents a novel approach for damping the vibration of a cantilever beam by bonding multiple fluidic flexible matrix composite (F2MC) tubes to the beam and using the strain induced fluid pumping to dissipate energy. Transverse beam vibration strains the F2MC tube and generates fluid flow through an energy dissipating orifice. An optimally sized orifice maximizes energy dissipation, greatly reducing the resonant peaks and increasing modal damping. An analytical model is developed based on Euler–Bernoulli beam theory and Lekhnitskii׳s solution for anisotropic layered tubes. Using miniature tubes, a laboratory-scale F2MC-integrated beam prototype is constructed and experimentally tested. The experimental results agree well with the theoretical predictions, provided the fluid bulk modulus is reduced to reflect the entrained air in the fluidic circuit. Based on the validated model, a design space study calculates the modal damping for various tube attachment locations and the orifice sizes. The results show that damping ratios of 32percent and 16percent are achievable in the first and second modes of a cantilever beam, respectively, using an F2MC damping treatment.

[1]  T. T. Soong,et al.  Passive and Active Structural Vibration Control in Civil Engineering , 1994, CISM International Centre for Mechanical Sciences.

[2]  C. D. Johnson,et al.  Design of Passive Damping Systems , 1995 .

[3]  V. Steffen,et al.  Multimodal vibration damping through piezoelectric patches and optimal resonant shunt circuits , 2006 .

[4]  E. Smith,et al.  Passive Tailboom Vibration Control Using Fluidic Flexible Matrix Composite (F2MC) Tubes , 2014 .

[5]  Edward C. Smith,et al.  Fluidic Composite Tunable Vibration Isolators , 2012 .

[6]  Charles E. Bakis,et al.  Tailored Fluidic Composites for Stiffness or Volume Change , 2011 .

[7]  Charles E. Bakis,et al.  Actuation of fluidic flexible matrix composites in structural media , 2012 .

[8]  W. Liu,et al.  Fiber-Reinforced Membrane Models of McKibben Actuators , 2003 .

[9]  J. Hollkamp.  Multimodal Passive Vibration Suppression with Piezoelectric Materials and Resonant Shunts , 1994 .

[10]  Meng-Shiun Tsai,et al.  ON THE STRUCTURAL DAMPING CHARACTERISTICS OF ACTIVE PIEZOELECTRIC ACTUATORS WITH PASSIVE SHUNT , 1999 .

[11]  E. Smith,et al.  Fluidic Composite Tuned Vibration Absorbers , 2009 .

[12]  Jin-Chein Lin,et al.  Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors , 2005 .

[13]  Kon-Well Wang,et al.  On the dynamic characteristics of biological inspired multicellular fluidic flexible matrix composite structures , 2012 .

[14]  B. C. Nakra.  VIBRATION CONTROL IN MACHINES AND STRUCTURES USING VISCOELASTIC DAMPING , 1998 .

[15]  C. Sun,et al.  Three-Dimensional Effective Elastic Constants for Thick Laminates , 1988 .

[16]  Daniel J. Inman,et al.  Vibration Control through Passive Constrained Layer Damping and Active Control , 1997 .

[17]  T. Bailey,et al.  Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam , 1985 .

[18]  Michael Philen,et al.  Variable Stiffness Structures Utilizing Fluidic Flexible Matrix Composites , 2009 .

[19]  K. W. Wang,et al.  Fibrillar Network Adaptive Structure with Ion-transport Actuation , 2006 .

[20]  J. Ro,et al.  Performance Characteristics of Active Constrained Layer Damping , 1995 .

[21]  Kon Well Wang,et al.  Nonlinear-elastic finite axisymmetric deformation of flexible matrix composite membranes under internal pressure and axial force , 2006 .

[22]  S. G. Lekhnit︠s︡kiĭ.  Theory of elasticity of an anisotropic body , 1981 .

[23]  Michael Philen,et al.  Semi-active vibration isolation using fluidic flexible matrix composite mounts: analysis and experiment , 2011, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.