Dynamic Performance Optimization of Cylindrical Shell with Constrained Damping Layer Using Topology

Abstract:

Topology optimization of the constrained damping cylindrical shell for the maximized modal damping coefficient is studied in this paper. According to the first 3 orders modes, a novel topological optimization model where the volume is taken as the constraint function and the function of the modal damping coefficient as the target function is proposed and analyzed. The reasonable topology configuration was obtained for the damping structure. The results show that this method can be applied to solve the problem of optimization of the constrained damping cylindrical shell with the damping materials volume constrained. Numerical simulations are performed to very the effectiveness of the presented method.

• Periodical: Advanced Materials Research (Volumes 479-481)
• Pages: 1209-1215
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.479-481.1209
• Online since: February 2012
• Authors: Ming Xu Wang, Qi Zhi Li
• Keywords: Cylindrical Shell, Dynamic Performance, Topology Optimization, Viscoelasticity

References

[1] E. M. Kerwin. Damping of Flexural waves by a Constrained Viscoelastic Layer. Journal of the Acoustical Society of America 1959;31(7):952-962

DOI: 10.1121/1.1907821

[2] R.A.DiTaranto, Theory of vibratory bending for elastic and viscoelastic layered finite-length beams, American Society of Mechanical Engineers Journal of Applied Mechanics 1965;32:881-886

DOI: 10.1115/1.3627330

[3] D.J. Mead, S.Markus. The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions.Journal of sound and vibration 1969;10:163-175

DOI: 10.1016/0022-460x(69)90193-x

[4] Douglas BE, Yang JCS. Transverse compressional damping in the vibratory response of clastic-viscoelastic beams.AIAA Journal 1978;16(9):925-930

DOI: 10.2514/3.7595

[5] D.J. Mead. A comparison of some equations for flexural vibration of damped sandwich beams. Journal of sound and vibration 1982;83(3):363-377

DOI: 10.1016/s0022-460x(82)80099-0

[6] ZhangQJ, SainsburyMG.The Galerkin Element Method Applied to the Vibration of Rectangular Damped Sandwich Plates.Computers and Stuctures,2000,74:717-730

DOI: 10.1016/s0045-7949(99)00068-1

[7] EI-Raheb M, Wagner P. Damped response of shells by a constrained viscoelastic layer. ASME Journal of Applied Mechanics 1986;53:902-908.

DOI: 10.1115/1.3171879

[8] Tzou HS, Gadre M. Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls. Journal of Sound and Vibration 1989;132:433-450

DOI: 10.1016/0022-460x(89)90637-8

[9] A.K. Lall, N.T. Asnani, B.C. Nakra. Damping analysis of partially covered sandwich beams. Journal of Sound and Vibration 1988,123:247-259

DOI: 10.1016/s0022-460x(88)80109-3

[10] L.H. Chen, S.S. Huang. Vibration attenuation of a cylindrical shell with constrained layer damping strips treatment. Computer and Structure 2001,79:1355-1362

DOI: 10.1016/s0045-7949(01)00009-8

[11] Wang HJ, Chen LW. Finite element dynamic analysis of orthotropic cylindrical shell with a constrained damping layer. Finite Element Analysis and Design 2004,40:737-755

DOI: 10.1016/s0168-874x(03)00112-4

[12] H Zeng, C Cai, G SH Pau, GR Liu. Minimizing vibration response of cylindrical shells through layout optimization of passive constrained layer damping treatments. Journal of Sound and Vibration 2005;279:739-756

DOI: 10.1016/j.jsv.2003.11.020

[13] M G Sainsbury, Ravish S Masti. Vibration damping of cylindrical shells using strain energy based distribution of an add on viscoelastic treatment. Finite Element in Analysis and Design 2007;43:175-192

DOI: 10.1016/j.finel.2006.09.003

[14] Navin Kumar , S P Singh. Experimental study on vibration and damping of curved panel treated with constrained viscoelastic layer. Composite Structures 2010;92:233-243

DOI: 10.1016/j.compstruct.2009.07.011

[15] Wang Mingxu,Chen Guoping. Dynamic Performance Optimization of Cylindical Shell with Constrained Damping Layer Using Homogenization Apporach.China Mechanical Engineering 2011 8:892-897

DOI: 10.1109/iccet.2010.5485371