Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Natural frequency characteristics of composite plates with random properties

  • Salim, S. (Department of Aerospace Engineering, Indian Institute of Technology) ;
  • Iyengar, N.G.R. (Department of Aerospace Engineering, Indian Institute of Technology) ;
  • Yadav, D. (Department of Aerospace Engineering, Indian Institute of Technology)
  • Published : 1998.09.25
⟨ Previous Next ⟩

Abstract

Exercise of complete control on all aspects of any manufacturing / fabrication process is very difficult, leading to uncertainties in the material properties and geometric dimensions of structural components. This is especially true for laminated composites because of the large number of parameters associated with its fabrication. When the basic parameters like elastic modulus, density and Poisson's ratio are random, the derived response characteristics such as deflections, natural frequencies, buckling loads, stresses and strains are also random, being functions of the basic random system parameters. In this study the basic elastic properties of a composite lamina are assumed to be independent random variables. Perturbation formulation is used to model the random parameters assuming the dispersions small compared to the mean values. The system equations are analyzed to obtain the mean and the variance of the plate natural frequencies. Several application problems of free vibration analysis of composite plates, employing the proposed method are discussed. The analysis indicates that, at times it may be important to include the effect of randomness in material properties of composite laminates.

Keywords

References

  1. Chen, S. and Zhang, Z. (1990), "Response sensitivity for the complex stochastic structures to arbitrary deterministic excitation", Proceedings of Conference on Advances in Structural Testing, Analysis and Design, 1, Madras, India.
  2. Salim, S., Iyengar, N.G.R. and Yadav, D. (1994), "Free vibration of composite plates with random material characteristics", Proceedings of the Fifth International Conference on Structural Dynamics, Univ. of Southamton, England, July.
  3. Salim, S., Yadav, D. and Iyengar, N.G.R. (1993), "Analysis of Composite Plates With Random Material Characteristics", Mechanics Research Communications, 20(5), 405-414. https://doi.org/10.1016/0093-6413(93)90031-I
  4. Vinson, J.R. and Sierakowski, R.L. (1986), The Behavior of Structures Composed of Composite Materials, Martinus Nijhoff Publishers, Dordrecht.
  5. Zweben, C., Hahn, H.T. and Chou, T.W. (1989), Mechanical Behavior and Properties of Composite Materials, Delaware Composites Design Encyclopedia, 1, Technomic, Lancaster.

Cited by

  1. THERMAL BUCKLING RESPONSE OF LAMINATED COMPOSITE PLATE WITH RANDOM SYSTEM PROPERTIES vol.06, pp.03, 2009, https://doi.org/10.1142/S0219876209001930
  2. Hygrothermoelastic free vibration response of laminated composite plates resting on elastic foundations with random system properties vol.26, pp.5, 2013, https://doi.org/10.1177/0892705711425851
  3. Natural frequency of laminated composite plate resting on an elastic foundation with uncertain system properties vol.27, pp.2, 2007, https://doi.org/10.12989/sem.2007.27.2.199
  4. Stochastic nonlinear free vibration of laminated composite plates resting on elastic foundation in thermal environments vol.44, pp.1, 2009, https://doi.org/10.1007/s00466-008-0352-5
  5. Stochastic Finite element analysis of the free vibration of functionally graded material plates vol.41, pp.5, 2008, https://doi.org/10.1007/s00466-007-0226-2
  6. Free vibration of composite cylindrical panels with random material properties vol.58, pp.4, 2002, https://doi.org/10.1016/S0263-8223(02)00133-2
  7. Random vibration of the functionally graded laminates in thermal environments vol.195, pp.9-12, 2006, https://doi.org/10.1016/j.cma.2005.01.016
  8. Free vibration analysis of moderately thick rectangular laminated composite plates with arbitrary boundary conditions vol.35, pp.2, 1998, https://doi.org/10.12989/sem.2010.35.2.217