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Research Papers

Wave Propagation and Power Flow Analysis of Sandwich Structures With Internal Absorbers

[+] Author and Article Information
J. S. Chen

Department of Engineering Science,
National Cheng Kung University,
No. 1, University Road,
Tainan 701, Taiwan
e-mail: jschen273@mail.ncku.edu.tw

R. T. Wang

Department of Engineering Science,
National Cheng Kung University,
No. 1, University Road,
Tainan 701, Taiwan

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 15, 2013; final manuscript received March 20, 2014; published online April 18, 2014. Assoc. Editor: Liang-Wu Cai.

J. Vib. Acoust 136(4), 041003 (Apr 18, 2014) (8 pages) Paper No: VIB-13-1245; doi: 10.1115/1.4027294 History: Received July 15, 2013; Revised March 20, 2014

This study examines wave attenuation and power flow characteristics of sandwich beams with internal absorbers. Two types of absorbing systems embedded in the core are considered, namely, a conventional spring-mass-dashpot system having a mass with a spring and a dashpot in parallel, and a relaxation system containing an additional relaxation spring added in series with the dashpot. Analytical continuum models used for interpreting the attenuation behavior of sandwich structures are presented. Through the analysis of the power flowing into the structure, the correlation of wave attenuation and energy blockage is revealed. The reduction in the power flow indicates that some amount of energy produced by the external force can be effectively obstructed by internal absorbers. The effects of parameters on peak attenuation, bandwidth, and power flow are also studied.

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References

Sayir, M., and Koller, M. G., 1986, “Dynamic Behavior of Sandwich Plates,” J. Appl. Math. Phys., 37(1), pp. 78–103. [CrossRef]
Chalak, H. D., Chakrabarti, A., Ashraf Iqbal, M., and Sheikh, A. H., 2013, “Free Vibration Analysis of Laminated Soft Core Sandwich Plates,” ASME J. Vib. Acoust., 135(1), p. 011013. [CrossRef]
Tan, P. J., Reid, S. R., Harrigan, J. J., Zou, Z., and Li, S., 2005, “Dynamic Compressive Strength Properties of Aluminium Foams. Part I—Experimental Data and Observations,” J. Mech. Phys. Solids, 53(10), pp. 2174–2205. [CrossRef]
Tilbrook, M. T., Deshpande, V. S., and Fleck, N. A., 2006, “The Impulsive Response of Sandwich Beams: Analytical and Numerical Investigation of Regimes of Behavior,” J. Mech. Phys. Solids, 54(11), pp. 2242–2280. [CrossRef]
Karagiozova, D., Nurick, G. N., Langdon, G. S., Chung Kim Yuen, S., Chi, Y., and Bartle, S., 2009, “Response of Flexible Sandwich-Type Panels to Blast Loading,” Compos. Sci. Technol., 69(6), pp. 754–763. [CrossRef]
Wang, D., 2009, “Impact Behavior and Energy Absorption of Paper Honeycomb Sandwich Panels,” Int. J. Impact Eng., 36(1), pp. 110–114. [CrossRef]
Ormondroyd, J., and Den Hartog, J. P., 1928, “The Theory of Dynamic Vibration Absorber,” ASME J. Appl. Mech., 49, pp. A9–A22.
Brock, J. E., 1946, “A Note on the Damped Vibration Absorbers,” ASME J. Appl. Mech., 68, pp. A-248.
Young, D., 1952, “Theory of Dynamic Vibration Absorbers for Beams,” First U.S. National Congress of Applied Mechanics, Chicago, IL, June 11–16, pp. 91–96.
Snowdon, J. C., 1966, “Vibration of Cantilever Beams to Which Dynamic Absorbers are Attached,” J. Acoust. Soc. Am., 39(5A), pp. 878–886. [CrossRef]
Esmailzadeh, E., and Jalili, N., 1998, “Optimum Design of Vibration Absorbers for Structurally Damped Timoshenko Beams,” ASME J. Vib. Acoust., 120(4), pp. 833–841. [CrossRef]
Tursun, M., and Eşkinat, E., 2014, “H2 Optimization of Damped-Vibration Absorbers for Suppressing Vibrations in Beams With Constrained Minimization,” ASME J. Vib. Acoust., 136(2), p. 021012. [CrossRef]
Samani, F. S., and Pellicano, F., 2009, “Vibration Reduction on Beams Subjected to Moving Loads Using Linear and Nonlinear Dynamic Absorbers,” J. Sound Vib., 325(4–5), pp. 742–754. [CrossRef]
Yang, C., Li, D., and Cheng, L., 2011, “Dynamic Vibration Absorbers for Vibration Control Within a Frequency Band,” J. Sound Vib., 330(8), pp. 1582–1598. [CrossRef]
Smith, T. L., Rao, K., and Dyer, I., 1986, “Attenuation of Plate Flexural Waves by a Layer of Dynamic Absorbers,” Noise Control Eng. J., 26(2), pp. 56–60. [CrossRef]
Meng, J., 1991, “Coupled Wave Propagation in a Rod With Dynamic Absorber Layer,” S.M. thesis, Massachusetts Institute of Technology, Cambridge, MA.
Thompson, D. J., 2008, “A Continuous Damped Vibration Absorber to Reduce Broad-Band Wave Propagation in Beams,” J. Sound Vib., 311(3–5), pp. 824–842. [CrossRef]
Goyder, H. G. D., and White, R. G., 1980, “Vibrational Power Flow From Machines Into Built-Up Structure, Part I: Introduction and Approximate Analysis of Beam and Plate-Like Foundations,” J. Sound Vib., 68(1), pp. 59–75. [CrossRef]
Goyder, H. G. D., and White, R. G., 1980, “Vibrational Power Flow From Machines Into Built-Up Structure, Part II: Wave Propagation and Power Flow in Beam-Stiffened Plates,” J. Sound Vib., 68(1), pp. 77–96. [CrossRef]
Goyder, H. G. D., and White, R. G., 1980, “Vibrational Power Flow From Machines Into Built-Up Structure, Part III: Power Flow Through Isolation Systems,” J. Sound Vib., 68(1), pp. 97–117. [CrossRef]
Pinnington, R. J., and White, R. G., 1981, “Power Flow Through Machine Isolators to Resonant and Non-Resonant Beams,” J. Sound Vib., 75(2), pp. 179–197. [CrossRef]
Cuschieri, J. M., 1990, “Vibration Transmission Through Periodic Structures Using a Mobility Power Flow Approach,” J. Sound Vib., 143(1), pp. 65–74. [CrossRef]
Wu, C. J., and White, R. G., 1995, “Vibrational Power Transmission in a Finite Multi-Supported Beam,” J. Sound Vib., 181(1), pp. 99–114. [CrossRef]
Yan, J., Li, T. Y., Liu, J. X., and Zhu, X., 2008, “Input Power Flow in a Submerged Infinite Cylindrical Shell With Doubly Periodic Supports,” Appl. Acoust., 69(8), pp. 681–690. [CrossRef]
Sorokin, S., and Holst-Jensen, O., 2012, “On Power Flow Suppression in Straight Elastic Pipes by Use of Equally Spaced Eccentric Inertial Attachments,” ASME J. Vib. Acoust., 134(4), p. 041003. [CrossRef]
Chen, J. S., and Sun, C. T., 2011, “Dynamic Behavior of a Sandwich Beam With Internal Resonators,” J. Sandwich Struct. Mater., 13(4), pp. 391–408. [CrossRef]
Hasebe, R. S., and Sun, C. T., 2000, “Performance of Sandwich Structures With Composite Reinforced Core,” J. Sandwich Struct. Mater., 2(1), pp. 75–100. [CrossRef]
Wellstead, P. E., 1979, Introduction to Physical System Modeling, Academic Press Ltd., London.
Huang, H. H., and Sun, C. T., 2009, “Wave Attenuation Mechanism in an Acoustic Metamaterials With Negative Effective Mass Density,” New J. Phys., 11(1), p. 013003. [CrossRef]

Figures

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Fig. 3

Sandwich beam having relaxation absorbers

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Fig. 4

Schematic diagram of (a) a unit cell of the relaxation model and (b) its equivalent model

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Fig. 2

Schematic diagram of (a) a unit cell of the conventional model and (b) its equivalent model

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Fig. 1

Sandwich beam having conventional damped absorbers

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Fig. 8

Imaginary part of wave number of mode 1 for the sandwich beam with conventional damped absorbers (c1 = 0.445)

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Fig. 7

Wave numbers of mode 1 for the sandwich beam with conventional damped absorbers: (a) real part and (b) imaginary part (mass ratio = 1.3)

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Fig. 5

Real part and imaginary part of wave numbers of the sandwich beam with undamped absorbers: (a) lowest two modes (flexural modes) and (b) the highest mode (shear mode)

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Fig. 6

Power flow of the sandwich beam with undamped absorbers

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Fig. 9

Power flow of the sandwich beam with conventional damped absorbers (mass ratio = 1.3)

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Fig. 10

Power flow of the sandwich beam with conventional damped absorbers (c1 = 0.445)

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Fig. 11

Imaginary part of wave number of mode 1 for the sandwich beam with relaxation absorbers (N = 1.0 and mass ratio = 1.3)

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Fig. 12

Imaginary part of wave number of mode 1 for the sandwich beam with relaxation absorbers (mass ratio = 1.3 and loss factor = 0.25)

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Fig. 13

Power flow of the sandwich beam with relaxation absorbers (N = 1.0 and mass ratio = 1.3)

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Fig. 14

Power flow of the sandwich beam with relaxation absorbers (mass ratio = 1.3 and loss factor = 0.25)

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Fig. 15

Comparison of power flow between two damped sandwich beams (mass ratio = 0.25 and loss factor = 0.1)

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