Vibro-acoustic model of an active aircraft cabin window

Abstract This paper presents modeling and design of an active structural acoustic control (ASAC) system for controlling the low frequency sound field transmitted through an aircraft cabin window. The system uses stacked piezoelectric elements arranged in a manner to generate out-of-plane actuation point forces acting on the window panel boundaries. A theoretical vibro-acoustic model for an active quadruple-panel system is developed to characterize the dynamic behavior of the system and achieve a good understanding of the active control performance and the physical phenomena of the sound transmission loss (STL) characteristics. The quadruple-panel system represents the passenger window design used in some classes of modern aircraft with an exterior double pane of Plexiglas, an interior dust cover pane and a glazed dimmable pane, all separated by thin air cavities. The STL characteristics of identical pane window configurations with different piezoelectric actuator sets are analyzed. A parametric study describes the influence of important active parameters, such as the input voltage, number and location of the actuator elements, on the STL is investigated. In addition, a mathematical model for obtaining the optimal input voltage is developed to improve the acoustic attenuation capability of the control system. In general, the achieved results indicate that the proposed ASAC design offers a considerable improvement in the passive sound loss performance of cabin window design without significant effects, such as weight increase, on the original design. Also, the results show that the acoustic control of the active model with piezoelectric actuators bonded to the dust cover pane generates high structural vibrations in the radiating panel (dust cover) and an increase in sound power radiation. High active acoustic attenuation can be achieved by designing the ASAC system to apply active control forces on the inner Plexiglas panel or dimmable panel by installing the actuators on the boundaries of one of the two panels. In some cases, increasing the actuator numbers in the structure advances the active control performance by controlling more structural modes; however, this decreases the STL of the passive control system because of the increase in structure-borne sound transmission paths of the stiffer piezoelectric actuators.

[1]  L Padula Sharon,et al.  Optimal Sensor/Actuator Locations for Active Structural Acoustic Control , 1998 .

[2]  Jean-Claude Golinval,et al.  Placement of Piezoelectric Laminate Actuator for Active Structural Acoustic Control , 2004 .

[3]  Zijie Fan,et al.  Transient vibration and sound radiation of a rectangular plate with viscoelastic boundary supports , 2001 .

[4]  Stephen J. Elliott,et al.  Active vibration damping using self-sensing, electrodynamic actuators , 2006 .

[5]  Paolo Gardonio,et al.  Smart panel with multiple decentralized units for the control of sound transmission. Part I: theoretical predictions , 2004 .

[6]  Luc Mongeau,et al.  Influence of support properties on the sound radiated from the vibrations of rectangular plates , 2003 .

[7]  Gibbs,et al.  Radiation modal expansion: application to active structural acoustic control , 2000, The Journal of the Acoustical Society of America.

[8]  Clément Gosselin,et al.  Optimal design of PZT actuators in active structural acoustic control of a cylindrical shell with a floor partition , 2004 .

[9]  D. Leo Engineering Analysis of Smart Material Systems , 2007 .

[10]  Paolo Gardonio Active Noise Control , 2010 .

[11]  James P. Carneal,et al.  Active structural acoustic control of noise transmission through double panel systems , 1992 .

[12]  Sabu Thomas,et al.  Non-Linear Viscoelasticity of Rubber Composites and Nanocomposites: Influence of Filler Geometry and Size in Different Length Scales , 2014 .

[13]  Robert L. Clark,et al.  Active Control of Structurally Radiated Sound from an Enclosed Finite Cylinder , 1994 .

[14]  Peter Hagedorn,et al.  Vibrations and Waves in Continuous Mechanical Systems , 2007 .

[15]  L. Leniowska Effect of active vibration control of a circular plate on sound radiation , 2006 .

[16]  Paolo Gardonio,et al.  Smart panel with active damping units. Implementation of decentralized control. , 2008, The Journal of the Acoustical Society of America.

[17]  Jie Pan,et al.  Experimental study of different approaches for active control of sound transmission through double walls , 1997 .

[18]  Frank J. On Mechanical impedance analysis for lumped parameter multi-degree of freedom/multi- dimensional systems , 1967 .

[19]  T. J. Sutton,et al.  Active control of sound transmission through a double-leaf partition by volume velocity cancellation , 1998 .

[20]  I. Stothers,et al.  In-flight experiments on the active control of propeller-induced cabin noise , 1990 .

[21]  Kean Chen,et al.  Mechanisms of active control of noise transmission through triple-panel system using single control force on the middle plate , 2014 .

[22]  Stephen J. Elliott,et al.  The stability of decentralized multichannel velocity feedback controllers using inertial actuators , 2007 .

[23]  B. Jiang MODELING NONLINEAR VISCOELASTIC BEHAVIOR UNDER LARGE DEFORMATIONS , 2015 .

[24]  Kamran Behdinan,et al.  Theoretical vibro-acoustic modeling of acoustic noise transmission through aircraft windows , 2016 .

[25]  C. Fuller,et al.  Acoustics 1991: Active structural acoustic control , 1992 .

[26]  Clément Gosselin,et al.  ANALYSIS OF STRUCTURAL ACOUSTIC COUPLING OF A CYLINDRICAL SHELL WITH AN INTERNAL FLOOR PARTITION , 2002 .

[27]  Giovanni Bernardini,et al.  Optimal Design of Tonal Noise Control Inside Smart-Stiffened Fuselages of Turboprop Aircraft , 2010 .

[28]  Paolo Gardonio,et al.  Active vibration control using an inertial actuator with internal damping. , 2006, The Journal of the Acoustical Society of America.

[29]  Wim Desmet,et al.  Active structural acoustic control of repetitive impact noise , 2004 .

[30]  Richard J. Silcox,et al.  Active structural acoustic control , 1992 .

[31]  Palumbo Dan,et al.  Active Structural Acoustic Control of Interior Noise on a Raytheon 1900D , 2000 .

[32]  R. E. Hayden,et al.  A study of interior noise levels, noise sources and transmission paths in light aircraft , 1983 .

[33]  Stephen J. Elliott,et al.  Active vibration isolation using an inertial actuator with local displacement feedback control , 2004 .

[34]  Robert L. Clark,et al.  Optimal placement of piezoelectric actuators and polyvinylidene fluoride error sensors in active structural acoustic control approaches , 1991 .

[35]  Randolph H. Cabell,et al.  Active Control of Turbulent Boundary Layer Induced Sound Radiation from Multiple Aircraft Panels , 2002 .

[36]  James P. Carneal,et al.  An analytical and experimental investigation of active structural acoustic control of noise transmission through double panel systems , 2004 .

[37]  A. Preumont,et al.  Active control of noise transmission through double wall structures An overview of possible approaches , 2003 .

[38]  F. J. Balena,et al.  Window acoustic study for advanced turboprop aircraft , 1984 .

[39]  Colin H. Hansen,et al.  Optimal sizes and locations of piezoelectric actuators for curved panel sound sources , 1997 .

[40]  Stephen J. Elliott,et al.  Model for Active Control of Flow-Induced Noise Transmitted Through Double Partitions , 2002 .

[41]  James F. Unruh,et al.  General Aviation Interior Noise. Part 3; Noise Control Measure Evaluation , 2002 .

[42]  Siv Leth,et al.  Active and passive noise control in practice on the Saab 2000 high speed turboprop , 1998 .

[43]  K.-J. Kim,et al.  MODAL PROPORTIES OF BEAMS AND PLATES ON RESILIENT SUPPORTS WITH ROTATIONAL AND TRANSLATIONAL COMPLEX STIFFNESS , 1996 .

[44]  Stephen J. Elliott,et al.  Global control of a vibrating plate using a feedback-controlled inertial actuator , 2005 .

[45]  Sylvie Lefebvre,et al.  Piezoelectric Actuator Models for Active Sound and Vibration Control of Cylinders , 1993 .

[46]  George J. O'Hara Mechanical Impedance and Mobility Concepts , 1966 .

[47]  Ignazio Dimino,et al.  Sound Transmission Through Triple Panel Partitions , 2013 .

[48]  S. Elliott,et al.  Active control of sound radiation using volume velocity cancellation , 1995 .

[49]  Xuefeng Zhang,et al.  Vibrations of rectangular plates with arbitrary non-uniform elastic edge restraints , 2009 .

[50]  Gary P. Gibbs,et al.  Active control of turbulent‐boundary‐layer‐induced sound radiation from aircraft style panels , 2000 .

[51]  Paolo Gardonio,et al.  Smart panels for active structural acoustic control , 2004 .

[52]  Ignazio Dimino,et al.  Vibro-acoustic design of an aircraft-type active window. Part 1: Dynamic modelling and experimental validation , 2012 .

[53]  C. Fuller,et al.  Decentralized Control of Sound Radiation from an Aircraft-Style Panel Using Iterative Loop Recovery , 2008 .

[54]  Frank Fahy,et al.  Sound and Structural VibrationRadiation, Transmission and Response , 2007 .

[55]  T. Lu,et al.  Analytical and experimental investigation on transmission loss of clamped double panels: implication of boundary effects. , 2009, The Journal of the Acoustical Society of America.

[56]  David E. Cox,et al.  Interaction Metrics for Feedback Control of Sound Radiation from Stiffened Panels , 2003 .

[57]  Noah H Schiller,et al.  Decentralized control of sound radiation using iterative loop recovery. , 2010, The Journal of the Acoustical Society of America.

[58]  W. L. Li Vibration analysis of rectangular plates with general elastic boundary supports , 2004 .

[59]  Paolo Gardonio,et al.  Active damping control unit using a small scale proof mass electrodynamic actuator. , 2008, The Journal of the Acoustical Society of America.

[60]  Michael J. Brennan,et al.  Active vibroacoustic control with multiple local feedback loops. , 2002 .