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Research Papers

Damping Analysis of Multilayer Passive Constrained Layer Damping on Cylindrical Shell Using Transfer Function Method

[+] Author and Article Information
Ling Zheng

Professor
The State Key Laboratory
of Mechanical Transmission,
Chongqing University,
Chongqing 400044, China
e-mail: zling@cqu.edu.cn

Quan Qiu, Haochuan Wan, Dongdong Zhang

The State Key Laboratory
of Mechanical Transmission,
Chongqing University,
Chongqing 400044, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 11, 2013; final manuscript received January 14, 2014; published online February 21, 2014. Assoc. Editor: Massimo Ruzzene.

J. Vib. Acoust 136(3), 031001 (Feb 21, 2014) (9 pages) Paper No: VIB-13-1154; doi: 10.1115/1.4026614 History: Received May 11, 2013; Revised January 14, 2014; Accepted January 26, 2014

Based on the Donnell assumptions and linear viscoelastic theory, the constitutive relations for the multilayer passive constrained layer damping (PCLD) cylindrical shell are described. In terms of energy, the motion equations and boundary conditions of the cylindrical shell with multilayer PCLD treatment are derived by the Hamilton principle. After trigonometric series expansion and Laplace transform, the state vector is introduced and the dynamic equation in state space is established. The transfer function method is used to solve the state equation. The dynamic performance including the natural frequency, the loss factor, and the frequency response of the multilayer PCLD cylindrical shell is obtained. The results show that with more layers, the more effective in suppressing vibration and noise, if the same amount of visco-elastic and constrained material is applied. It demonstrates a potential application of multilayer PCLD treatment in some critical structures, such as cabins of aircrafts, hulls of submarines, and bodies of rockets and missiles.

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References

Kerwin, E. M., 1959, “Damping of Flexural Waves by a Constrained Viscoelastic Layer,” J. Acoust. Soc. Am., 31(7), pp. 952–962. [CrossRef]
Mead, D. J., and Markus, S., 1969, “The Forced Vibration of a Three Layer, Damped Sandwich Beam With Arbitrary Boundary Conditions,” J. Sound Vib., 10(2), pp. 163–175. [CrossRef]
Yeh, J. Y., and Chen, L. W., 2006, “Wave Propagations of a Periodic Sandwich Beam by FEM and the Transfer Matrix Method,” Compos. Struct., 73(1), pp. 53–60. [CrossRef]
Zhang, Q. J., and Sainsbury, M. G., 2000, “The Galerkin Element Method Applied to the Vibration of Rectangular Damped Sandwich Plates,” Comput. Struct., 74(6), pp. 717–730. [CrossRef]
Chen, Y. C., and Huang, S. C., 2002, “An Optimal Placement of CLD Treatment for Vibration Suppression of Plates,” Int. J. Mech. Sci., 44(8), pp. 1801–1821. [CrossRef]
Ramesh, T. C., and Ganesan, N., 1994, “Finite Element Analysis of Conical Shells With a Constrained Viscoelastic Layer,” J. Sound Vib., 171(5), pp. 577–601. [CrossRef]
Ramesh, T. C., and Ganesan, N., 1994, “Orthotropic Cylindrical Shells With a Viscoelastic Core: A Vibration and Damping Analysis,” J. Sound Vib.,175(4), pp. 535–555. [CrossRef]
Ramesh, T. C., and Ganesan, N., 1994, “Finite Element Analysis of Cylindrical Shells With a Constrained Viscoelastic Layer,” J. Sound Vib., 172(3), pp. 359–370. [CrossRef]
Wang, H., and Chen, L., 2004, “Finite Element Dynamic Analysis of Orthotropic Cylindrical Shells With a Constrained Damping Layer,” Finite Elements in Analysis and Design, 40(7), pp. 737–755. [CrossRef]
Krishna, B. V., and Ganesan, N., 2007, “Studies on Fluid-Filled and Submerged Cylindrical Shells With Constrained Viscoelastic Layer,” J. Sound Vib., 303(3-5), pp. 575–595. [CrossRef]
Hu, Y. C., and Huang, S. C., 2000, “The Frequency Response and Damping Effect of Three-Layer Thin Shell With Viscoelastic Core,” Comput. Struct., 76(5), pp. 577–591. [CrossRef]
Pan, H. H., 1969, “Axisymmetrical Vibrations of a Circular Sandwich Shell With a Viscoelastic Core Layer,” J. Sound Vib., 9(2), pp. 338–348. [CrossRef]
Cao, X. T., Zhang, Z. Y., and Hua, H. X., 2011, “Free Vibration of Circular Cylindrical Shell With Constrained Layer Damping,” Appl. Math. Mech., 32(4), pp. 495–506. [CrossRef]
Farough, M., and Ramin, S., 2012, “Linear and Nonlinear Vibration Analysis of Sandwich Cylindrical Shell With Constrained Viscoelastic Core Layer,” Int. J. Mech. Sci., 54(1), pp. 156–171. [CrossRef]
Li, E. Q., Li, D. K., and Tang, G. J., 2007, “Dynamic Analysis of Cylindrical Shell With Partially Covered Ring-Shape Constrained Layer Damping by the Transfer Function Method,” Acta Aeronaut. Astronaut. Sin., 28(6), pp. 1487–1493 (in Chinese).
Xiang, Y., Huang, Y. Y., Lu, J., Yuan, L. Y., and Zou, S. Z., 2011, “A Novel Matrix Method for Coupled Vibration and Damping Effect Analyses of Liquid-Filled Circular Cylindrical Shells With Partially Constrained Layer Damping Under Harmonic Excitation,” Appl. Math. Mech., 35(5), pp. 2209–2220. [CrossRef]
Saravanan, C., Ganesan, N., and Ramamurti, V., 2000, “Vibration and Damping Analysis of Multilayered Fluid Filled Cylindrical Shells With Constrained Viscoelastic Damping Using Modal Strain Energy Method,” Comput. Struct., 75(4), pp. 395–417. [CrossRef]

Figures

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Fig. 1

The deformation compatibility between layers

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Fig. 2

The deformation compatibility between layers

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Fig. 3

Natural frequency of multilayer PCLD cylindrical shell

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Fig. 4

Loss factor of multilayer PCLD cylindrical shell

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Fig. 5

The frequency response of radial displacement for n = 6

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Fig. 6

The frequency response of radial displacement for n = 14

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Fig. 7

The frequency response of radial displacement for n = 20

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Fig. 8

The incremental increase of loss factor from 3 to 5 layers

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Fig. 9

The incremental increase of loss factor from 5 to 7 layers

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Fig. 10

The incremental increase of loss factor from 7 to 9 layers

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Fig. 11

The incremental increase of loss factor from 9 to 11 layers

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