Optimal design of tonal noise control inside smart-stiffened cylindrical shells

Abstract

This paper deals with the abatement of noise inside cylindrical cavities bounded by stiffened shells that are impinged by external tonal sound waves. The problem is analysed in a multidisciplinary context, involving interactions among exterior noise field, elastic shell dynamics, interior acoustics and control system. The actuation in the noise control process is performed through piezoelectric patches embedded in the stiffened shell, driven by a control law obtained from an optimal LQR cyclic control formulation, coupled with a genetic optimization algorithm (GA). A modal approach is applied to describe the smart shell dynamics and the interior acoustics that are coupled in the acoustoelastic plant model, while the exterior acoustic scattering is predicted through a boundary element method formulation. Numerical results deal with an aeronautical problem concerning a general aviation aircraft cabin impinged by the pressure disturbances emitted by a pair of propellers; in particular, the effectiveness and robustness of the active control law synthesized through the GA is investigated.

Keywords

Interior noise control optimal design structural acoustics vibration and control of structures

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References

Chopra

(2002) Review of state of art of smart structures and integrated systems. AIAA Journal 40: 2145–2187.

Egle

Sewall

(1968) An analysis of free vibration of orthogonally stiffened cylindrical shells with stiffeners treated as discrete elements. AIAA Journal 6: 518–526.

Egle

Soder

Jr (1969) A theoretical analysis of the free vibration of discretely stiffened cylindrical shells with arbitrary end conditions, Report NASA CR-1316.

Elliot

Nelson

(1993) Active noise control. IEEE Signal Proceedings Magazine 10: 12–35.

Emborg

(1998) Cabin noise control in the SAAB 2000 high-speed turboprop aircraft. Proceedings of ISMA 23: 13–25.

Gennaretti

Testa

(2008) A boundary integral formulation for sound scattered by elastic moving bodies. Journal of Sound and Vibration 314: 712–737.

Goldberg

(1989) Genetic Algorithms in Search, Optimization and Machine Learning, Reading, MA: Addison-Wesley.

Hatfka

Gürdal

(1992) Element of Structural Optimization, Dordrecht: Kluwer Academic Publishers.

Holland

(1975) Adaptation in Nature and Artificial Systems, Ann Arbor, MI: University of Michigan Press.

10.

Kuo

Morgan

(1999) Active noise control: a tutorial review. Proceedings of IEEE 87(6): 943–973.

11.

Jones

Fuller

(1990) Active control of structurally-coupled sound fields in elastic cylinders by vibrational force inputs. International Journal of Analytical and Experimental Modal Analysis 5: 123–140.

12.

Leissa

(1973) Vibration of Shells, Report NASA SP-288.

13.

Lester

Lefebvre

(1993) Piezoelectric actuator models for active sound and vibration control of cylinders. Journal of Intelligent Materials Systems and Structures 4: 295–306.

14.

Raymer

(2002) Enhancing Aircraft Conceptual Design using Multidisciplinary Optimization. PhD Thesis, Stockholm, Sweden: Royal Institute of Technology.

15.

Silcox

Fuller

Lester

(1990) Mechanism of active control in cylindrical fuselage structures. AIAA Journal 28: 1397–1403.

16.

Silcox

Lefebvre

Metcalf

Beyer

Fuller

. (1992) Evaluation of piezoceramic actuators for control of aircraft interior noise. Proceedings of the DGLR/AIAA 14th Aeroacoustics ConferenceAachen, Germany.

17.

Srinivasan

McFarland

(2001) Smart Structures: Analysis and Design, Cambridge: Cambridge University Press.

18.

Testa

Bernardini

Gennaretti

. (2009) Cabin noise alleviation through fuselage skin embedded smart actuators. 15th AIAA/CEAS Aeroacoustics ConferenceMiami, FL: AIAA Paper 2009-3243.