Free vibration of laminated composite plates subjected to in-plane stresses using trapezoidal p-element

Composite Structures

Volumn 68, Issue 2, 2005, Pages 167-175

  Leung, Andrew Y T ^a   Xiao, Cheng ^a,b   Zhu, B ^a   Yuan, Si ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

In plane stresses; Laminated plate; p element; Trapezoid; Vibration

Indexed keywords

BOUNDARY CONDITIONS; LAMINATED COMPOSITES; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; STIFFNESS; STRESS ANALYSIS; VIBRATIONS (MECHANICAL);

FREE VIBRATIONS; LAMINATED COMPOSITE PLATES; TRAPEZOIDS;

PLATES (STRUCTURAL COMPONENTS);

COMPOSITE; MATHEMATICAL ANALYSIS; STRESS; VIBRATION;

EID: 10944225980     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2004.03.011     Document Type: Article

References (17)

1. Liew K.M. Chaim T.C. The free flexural vibration of symmetric angle-ply triangular composite plates. J. Sound Vibrat. 169(5) 1994 633-654.
2. Liew K.M. Lim C.W. Vibratory characteristic of general laminates, I: Symmetric trapezoids J. Sound Vibrat. 183(4) 1995 615-642.
3. Reddy J.N. Mechanics of laminated composite plates: Theory and analysis. 1996 CRC Press
4. Liew K.M. Solving the vibration of thick symmetric laminates by Reissner/Mindlin plate theory and the p-Ritz method.J. Sound Vibrat. 198(3) 1996 343-360.
5. Bardell N.S. Dunsdon J.M. Langley R.S. Free vibration analysis of coplanar sandwich panels. Compos. Struct. 38 (1-4) 1997 463-475.
6. Zienkiewicz O.C. Taylor R.L. The finite element method edition 4th ed. 1989 McGraw-Hill New York finite element method.
7. Leung A.Y.T. Zhu B. Zheng J. Yang H. A trapezoidal Fourier p-element for membrane vibrations. Thin-walled Struct. 41 2003 479-491.
8. Leung A.Y.T. Zhu B. Zheng J. Yang H. Analytical trapezoidal Fourier p-element for vibration plane problems. J. Sound Vibrat. 271(1-2) 2004 67-81.
9. Leung A.Y.T. Zhu B. Transverse vibration of thick polygonal plates using analytical integrated trapezoidal Fourier p-element. Comput. Struct. 82(2-3) 2004 109-119.
10. Houmat A. Hierarchical finite element analysis of the vibration of membranes. J. Sound Vibrat. 201(4) 1997 465-472.
11. Jones R.M. Mechanics of composite materials. 1975 Hemisphere Publishing Corporation New York
12. Roufaeil O.L. Dawe D.J. Raleigh-Ritz vibration analysis of rectangular Mindlin plates subjected to membrane stresses. J. Sound Vibrat. 85(2) 1982 263-275.
13. Woo K.S. Hong C.H. Basu P.K. Seo C.G. Free vibration of skew Mindlin plates by p-version of FEM. J. Sound Vibrat. 268(4) 2003 637-656.
14. Leung AYT, Zhu B. Comments on Free vibration of skew Mindlin plates by p-version of FEM. J Sound Vibrat, in press
15. Houmat A. A triangular fourier p-element for the analysis of membrane vibrations. J. Sound Vibrat. 230(1) 2000 31-43
16. Wang C.M. Reddy J.N. Lee K.H. Shear deformable beams and theories 2000 Elsevier Oxford
17. Liew K.M. Xiang Y. Kitipornchai S. Transverse vibration of thick rectangular plates - IV. Influence of isotropic in-plane stresses. Comput. Struct. 49 (1) 1993 69-78.