Anisotropic effects of polyvinylidene fluoride on the control of transmitted sound fields through a composite plate

This paper presents numerical simulations on the control of sound transmission through a composite plate. The composite plate mounted in an infinite baffle is excited by the incident plane wave. The anisotropic PVDF (polyvinylidene fluoride) films bonded on the surface of the plate are used as distributed actuators for the reduction of sound transmission. The vibration of composite the plate and the sound transmission through the plate are analysed by using the coupled finite element and boundary element method. A constrained minimization problem was solved to obtain input voltages of the piezoelectric actuators, so that the transmitted sound can be reduced. To investigate the effects of anisotropic PVDF, several distributed PVDF actuators are tested in a control simulation. The results show that the control effectiveness of distributed PVDF actuators can be enhanced by utilizing the distributed shape and the directional characteristics of PVDF. Then the design of a PVDF actuator that is efficient for the control of sound transmission is performed by optimizing the shape and the ply angle of PVDF. It is shown that the reduction of sound transmission through the plate is successfully achieved, if the distributed shape and the ply angle of the PVDF actuator are properly selected.

[1]  Eduardo N. Dvorkin,et al.  A formulation of general shell elements—the use of mixed interpolation of tensorial components† , 1986 .

[2]  Mahendra P. Singh,et al.  A Spectral Analysis Approach for Acoustic Radiation from Composite Panels , 1995 .

[3]  Philip A. Nelson,et al.  The active minimization of harmonic enclosed sound fields, part I: Theory , 1987 .

[4]  Chris R. Fuller,et al.  Active control of sound transmission/radiation from elastic plates by vibration inputs. I - Analysis , 1990 .

[5]  Ricardo A. Burdisso,et al.  Design Approaches for Shaping Polyvinylidene Fluoride Sensors in Active Structural Acoustic Control (ASAC) , 1993 .

[6]  Bor-Tsuen Wang Optimal placement of microphones and piezoelectric transducer actuators for far‐field sound radiation control , 1996 .

[7]  J. S. Mixson,et al.  Review of recent research on interior noise of propeller aircraft , 1985 .

[8]  S. Kim,et al.  Elastic Tailoring of Laminated Composite Plate by Anisotropic Piezoelectric Polymers-Theory, Computation, and Experiment , 1995 .

[9]  K. Bathe,et al.  A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation , 1985 .

[10]  Chris R. Fuller,et al.  Active control of sound transmission/radiation from elastic plates by vibration inputs, II: Experiments , 1992 .

[11]  C. R. Fuller,et al.  Active control of sound transmission through elastic plates using piezoelectric actuators , 1991 .

[12]  A. Hamdan,et al.  Measures of Modal Controllability and Observability for First- and Second-Order Linear Systems , 1989 .

[13]  K. Chandrashekhara,et al.  Active Vibration Control of Laminated Composite Plates Using Piezoelectric Devices: A Finite Element Approach , 1993 .