Skip to main content
Log in

Vibration and Sound Radiation of an Asymmetric Laminated Plate in Thermal Environments

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

Analytical studies on the vibration and sound radiation characteristics of an asymmetric laminated rectangular plate are carried out in this paper. Theoretical formulations, in which the effects of thermal environments are taken into account, are derived for the vibration and sound radiation based on both first-order shear deformation plate theory and Rayleigh integral. It is found that the natural frequencies, the resonant amplitudes of vibration response and the sound pressure level decrease with the temperature rising. The natural frequencies of asymmetric plates are smaller than those of symmetric plates and the velocity responses of asymmetric plates are larger than those of symmetric plates.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Reddy, J.N. and Khdeir, A.A., Buckling and vibration of laminated composite plates using various plate theories. AIAA Journal, 1989, 27(12): 1808–1817.

    Article  MathSciNet  Google Scholar 

  2. Chandrashekhara, K., Krishnamurthy, K. and Roy, S., Free vibration of composite beams including rotary inertia and shear deformation. Composite Structures, 1990, 14: 269–279.

    Article  Google Scholar 

  3. Asghar, N., Kapania, R.K. and Reddy, J.N., Free vibration analysis of laminated plates using a layer-wise theory. AIAA Journal, 1993, 31: 2335–2346.

    Article  Google Scholar 

  4. Kant, T. and Swaminathan, K., Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory. Composite Structures, 2001, 53: 73–85.

    Article  Google Scholar 

  5. Ganapathi, M. and Makhecha, D.P., Free vibration analysis of multi-layered composite laminates based on an accurate higher-order theory. Composites Part B: Engineering, 2001, 32: 535–543.

    Article  Google Scholar 

  6. Liew, K.M., Huang, Y.Q. and Reddy, J.N., Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Computer Methods in Applied Mechanics and Engineering, 2003, 192: 2203–2222.

    Article  Google Scholar 

  7. Shooshtari, A. and Razavi, S., A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates. Composite Structures, 2010, 92: 2663–2675.

    Article  Google Scholar 

  8. Fauconneau, G. and Marangoni, R.D., Effect of a thermal gradient on the natural frequencies of a rectangular plate. International Journal of Mechanical Sciences, 1970, 12: 113–122.

    Article  Google Scholar 

  9. Prabhu, M.R. and Dhanaraj, R., Thermal buckling of laminated composite plates. Computers & amp; Structures, 1994, 53: 1193–1204.

    Article  Google Scholar 

  10. Yang, J. and Shen, H.S., Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments. Journal of Sound and Vibration, 2002, 255: 579–602.

    Article  Google Scholar 

  11. Matsunaga, H., Free vibration and stability of angle-ply laminated composite and sandwich plates under thermal loading. Composite Structures, 2007, 77: 249–262.

    Article  Google Scholar 

  12. Pradeep, V. and Ganesan, N., Buckling and vibration of rectangular composite viscoelastic sandwich plates under thermal loads. Composite Structures, 2007, 77: 419–429.

    Article  Google Scholar 

  13. Pradeep, V. and Ganesan, N., Thermal buckling and vibration behavior of multi-layer rectangular viscoelastic sandwich plates. Journal of Sound and Vibration, 2008, 310: 169–183.

    Article  Google Scholar 

  14. Jeyaraj, P., Ganesan, N. and Padmanabhan, C., Vibration and acoustic response of a composite plate with inherent material damping in a thermal environment. Journal of Sound and Vibration, 2009, 320: 322–338.

    Article  Google Scholar 

  15. Geng, Q. and Li, Y.M., Analysis of dynamic and acoustic radiation characteristics for a flat plate under thermal enveronment. International Journal of Applied Mechanics, 2012, 4(3): 1250028.

    Article  Google Scholar 

  16. Yang, X.W., Chen, G. and Li, Y.M., Topology optimization of a bi-material plate with respect to sound radiation in a thermal environment. International Journal of Aerospace and Lightweight Structures, 2012, 2: 87–102.

    Article  Google Scholar 

  17. Yang, X.W. and Li, Y.M., Topology optimization to minimize the dynamic compliance of a bi-material plate in a thermal environment. Struct Multidisc Optim, 2013, 47: 399–408.

    Article  MathSciNet  Google Scholar 

  18. Liu, Y. and Li, Y.M.. Vibration and acoustic response of rectangular sandwich plate under thermal environment. Shock and Vibration, 2013, 20: 1011–1030.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yueming Li.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11321062, 91016008 and 91216107).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, W., Li, Y. Vibration and Sound Radiation of an Asymmetric Laminated Plate in Thermal Environments. Acta Mech. Solida Sin. 28, 11–22 (2015). https://doi.org/10.1016/S0894-9166(15)60011-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(15)60011-8

Key Words

Navigation