Nonlinear Models for Double-Wall Systems for Vibrations and Noise Control

A theoretical model is developed for active control of vibrations and noise transmission of nonlinear double-wall systems to random wideband inputs. A velocity feedback control mechanism is integrated into governing nonlinear equations of motion using piezoelectric materials as sensors and actuators. The nonlinear von Karman thin plate theory is used to model vibrations of the face plates. A soft elastic core of the double wall is used. The nonlinear panel response is obtained by utilizing modal analyses and Monte Carlo simulation techniques. Transmitted noise inside a rectangular enclosure is obtained by solving the linearized acoustic wave equation subject to time-dependent boundary conditions of the vi- brating interior panel. Numerical results include vibration response time histories, spectral densities, rms responses, and noise reduction. The feasibility of using piezoelectric velocity feedback actuators for active control of nonlinear vibrations and noise transmission to random inputs is demonstrated.

[1]  Kenji Uchino,et al.  ELECTROSTRICTIVE ACTUATORS: MATERIALS AND APPLICATIONS. , 1986 .

[2]  J. W. Murdock,et al.  A unified analysis of both active and passive damping for a plate with piezoelectric transducers , 1993 .

[3]  R. Vaicaitis,et al.  Noise transmission through plates into an enclosure , 1978 .

[4]  C. K. Lee.  Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships , 1990 .

[5]  S. Koshigoe,et al.  A new approach for active control of sound transmission through an elastic plate backed by a rectangular cavity , 1993 .

[6]  Craig A. Rogers,et al.  Control of sound radiation with active/adaptive structures , 1992 .

[7]  Earl H. Dowell,et al.  Transmission of Noise from a Turbulent Boundary Layer through a Flexible Plate into a Closed Cavity , 1969 .

[8]  Siu-Tong Choi,et al.  Nonlinear response and fatigue of stiffened panels , 1989 .

[9]  Earl H. Dowell,et al.  Nonlinear Panel Response by a Monte Carlo Approach , 1974 .

[10]  Robert V. Doggett,et al.  Structural dynamic and aeroelastic considerations for hypersonic vehicles , 1991 .

[11]  Jon Lee.  Large-Amplitude Plate Vibration in an Elevated Thermal Environment , 1992 .

[12]  R. J. Randall.  Use of electro-rheological fluids for adaptive vibration isolation , 1992, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[13]  Yu-Kweng Michael Lin.  Probabilistic Theory of Structural Dynamics , 1976 .

[14]  J. D. Jones,et al.  Active control of sound fields in elastic cylinders by multicontrol forces , 1989 .

[15]  R. Vaicaitis,et al.  Nonlinear Response of Double Wall Sandwich Panels , 1983 .

[16]  Rimas Vaicaitis,et al.  Nonlinear Response and Sonic Fatigue of National Aerospace Space Plane Surface Panels , 1994 .

[17]  R. Vaicaitis,et al.  Nonlinear response of composite panels of high speed aircraft , 1993 .

[18]  V. V. Bolotin,et al.  Nonconservative problems of the theory of elastic stability , 1963 .

[19]  S. D. Snyder,et al.  Mechanisms of active noise control by vibration sources , 1991 .

[20]  Jie Pan,et al.  Active control of noise transmission through a panel into a cavity: I. Analytical study , 1990 .

[21]  Kenneth B. Lazarus,et al.  Induced strain actuation of isotropic and anisotropic plates , 1991 .

[22]  Scott D. Snyder,et al.  Active control of sound radiation from a vibrating rectangular panel by sound sources and vibration inputs: An experimental comparison , 1991 .

[23]  Richard J. Silcox,et al.  Mechanisms of active control in cylindrical fuselage structures , 1987 .

[24]  M. Shinozuka,et al.  Digital simulation of random processes and its applications , 1972 .

[25]  Amr M. Baz,et al.  Active vibration control of flexible beams using shape memory actuators , 1990 .

[26]  Chuh Mei,et al.  Nonlinear multimode response of clamped rectangular plates to acoustic loading , 1986 .

[27]  C. Chia.  Nonlinear analysis of plates , 1980 .

[28]  Horn-Sen Tzou,et al.  A Study of Segmentation of Distributed Piezoelectric Sensors and Actuators, Part I: Theoretical Analysis , 1994 .

[29]  S. J. Kim,et al.  Optimal design of piezoactuators for active noise and vibration control , 1991 .