63
Views
14
CrossRef citations to date
0
Altmetric
Articles

A C° element for free vibration of composite plates with uncertain material properties

Pages 331-350 | Published online: 02 Apr 2012

References

  • Nigam , N. C. and Narayanan , S. 1994 . Applications of Random Vibrations , New Delhi : Narosa .
  • Ibrahim , R. A. 1987 . Structural dynamics with parameter uncertainties . Appl. Mech. Rev. , 40 ( 3 ) : 309 – 328 .
  • Manohar , C. S. and Ibrahim , R. A. 1999 . Progress in structural dynamics with stochastic parameter variations: 1987–1998 . Appl. Mech. Rev. , 52 ( 5 ) : 177 – 196 .
  • Chen , S. H. , Liu , Z. S. and Zhang , Z. F. 1992 . Random vibration analysis for large-scale structures . Comput. Struct. , 43 ( 4 ) : 681 – 685 .
  • Collins , J. D. and Thomson , W. T. 1969 . The eigenvalue problem for structural system with statistical properties . AIAA J. , 7 ( 4 ) : 170 – 173 .
  • Shinozuka , M. and Astill , C. J. 1972 . Random eigenvalue problems in structural analysis . AIAA J. , 10 ( 4 ) : 456 – 462 .
  • Caravani , P. and Thomson , W. T. 1973 . Frequency response of a dynamic system with statistical damping . AIAA J. , 11 : 170 – 173 .
  • Chen , P. C. and Soroka , W. W. 1974 . Multi-degree dynamic response of a system with statistical properties . Sound Vib. , 37 : 547 – 556 .
  • Liu , W. K. , Belytschko , T. and Mani , A. 1986 . Random field finite elements . Int. J. for Numerical Methods in Engineering , 23 : 1831 – 1845 .
  • Zang , Z. and Chen , S. 1991 . The standard deviations of the eigen solutions for random MDOF systems . Compos. Struct. , 39 ( 6 ) : 603 – 607 .
  • Grigoriu , M. 1991 . Eigenvalue problem for uncertain systems — Part 2 . Appl. Mech. Rev. , 44 ( 11 ) : 389 – 395 .
  • Gorman , D. J. 1993 . Free vibration analysis of rectangular plates with non-uniformlateral elastic edge support . Appl. Mech. Rev. , 60 : 998 – 1003 .
  • Leissa , A. W. and Martin , A. F. 1990 . Vibration and buckling of rectangular composite plates with variable fiber spacing . Compos. Struct. , 14 : 339 – 357 .
  • Salim , S. , Yadav , D. and Iyengar , N. G. R. Deflection of composite plates with random material characteristics . Proceedings of Symposium on Recent Advances in Aerospace Science and Engineering, Vol. 1: Conference . pp. 236 – 239 . Bangalore, New Delhi
  • Salim , S. , Yadav , D. and Iyengar , N. G. R. 1993 . Analysis of composite plates with random material characteristics . Mech. Res. Commun. , 20 : 405 – 414 .
  • Salim , S. 1995 . “ Analysis of composite plates with randomness in material properties ” . In PhD Thesis , Kanpur : Dept. of Aerospace Eng., IIT .
  • Raj , B. N. , Iyengar , N. G. R. and Yadav , D. 1998 . Response of composite plates with random material properties using FEM and Monte Carlo simulation . Adv. Composite Mater. , 7 ( 3 ) : 219 – 237 .
  • Singh , B. N. , Iyengar , N. G. R. and Yadav , D. 2001 . Effects of random material properties on buckling of composite plates . ASCE J. Engng Mech. , 127 : 873 – 879 .
  • Singh , B. N. , Yadav , D. and Iyengar , N. G. R. 2001 . Natural frequencies of composite plates with random material propertiesusing higher order shear deformationtheory . Int. J. Mech. Sci. , 43 : 2193 – 2214 .
  • Singh , B. N. , Iyengar , N. G. R. and Yadav , D. 2002 . A C0 finite element investigation for buckling analysis of composite plates with random material properties . Struct. Engng Mech. Int. J. , 13 ( 1 ) : 53 – 74 .
  • Smith , C. B. 1953 . Some new types of orthotropic plates laminated of orthotropic material . Trans. ASME J. Appl. Mech. , 20 : 286 – 288 .
  • Reissner , E. and Stavsky , Y. 1961 . Bending and stretching of certain types of heterogeneous aelotropic elastic plates . Trans. ASME J. Appl. Mech. , 28 : 402 – 408 .
  • Lekhnitskii , S. G. 1968 . Anisotropic Plates , 2nd edn , Edited by: Tsai , S. W. and Cheron , T. Gordon and Breach . translated from Russian
  • Whitney , J. M. and Leissa , A. W. 1969 . Analysis of heterogeneous anisotropic plates . Trans. ASME J. Appl. Mech. , 36 : 261 – 266 .
  • Resissner , E. 1945 . Effects of transverse shear deformation on the bending of elastic plates . Trans. ASME J. Appl. Mech. , 12 : A68 – A77 .
  • Whitney , J. M. and Sun , C. T. 1973 . A higher order theory for extensional motion of laminated composites . J. Sound Vib. , 30 : 85 – 97 .
  • Naghdi , P. M. 1957 . On the theory of thin elastic shells . Quart. App. Math. , 14 : 369 – 380 .
  • Reddy , J. N. 1984 . A simple higher order theory for laminated composite plates . ASME J. Appl. Mech. , 51 : 745 – 752 .
  • Shankara , C. A. and Iyengar , N. G. R. 1996 . A C0 element for the free vibration analysis of laminated composite plates . J. Sound Vib. , 191 : 721 – 738 .
  • Reddy , J. N. 1985 . An Introduction to the Finite Element Method , McGraw-Hill International Editions
  • Hinton , E. and Owen , D. R. J. 1984 . Finite Element Software for Plates and Shells , Swansea , , UK : Pineridge Press .
  • Franklin , J. N. 1968 . Matrix Theory , Englewood Cliffs, NJ : Prentice-Hall .
  • Meirovitch , L. 1986 . Elements of Vibration Analysis , International edition , Singapore : McGraw-Hill .
  • Nigam , N. C. 1983 . Introduction to Random Vibrations , Cambridge,MA : MIT Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.