Vibration of plates in different situations using a high-precision shear deformable element

Journal of Sound and Vibration

Volumn 253, Issue 2, 2002, Pages 329-345

  Sheikh, A H ^a   Haldar, S ^b   Sengupta, D ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; PLATES (STRUCTURAL COMPONENTS); POLYNOMIAL APPROXIMATION; SHEAR DEFORMATION;

FREE VIBRATION ANALYSIS; SHEAR DEFORMABLE ELEMENT;

VIBRATIONS (MECHANICAL);

EID: 0037001946     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3813     Document Type: Article

References (19)

1. O. C. Zienkiewicz and R. L. Taylor 1988. The Finite Element Method (two volumes). New York: McGraw-Hill.
2. J. Petrolito Computers and Structures 32, 1303-1309. A modified ACM element for thick plate analysis.
3. F. G. Yuan and R. E. Miller 1989. International Journal of Numerical Methods and Engineering 28, 109-126. A cubic triangular finite element for flat plates with shear.
4. D. Sengupta 1991 International Journal of Numerical Methods and Engineering 32, 1389-1409. Stress analysis of flat plates with shear using explicit stiffness matrix.
5. J. L. Batoz and I. Katili 1992 International Journal of Numerical Methods and Engineering 35, 1603-1632. On a simple triangular Reissner/Mindlin plate element based on incompatible modes and discrete constraints.
6. Xu. Zhongnian 1992 International Journal of Numerical Methods and Engineering 33, 963-973. A thick-thin triangular plate element.
7. E. Hinton, T. Rock and O. C. Zienkiewicz 1976 Earthquake Engineering and Structural Dynamics 4, 245-249. A note on mass lumping and related processes in the finite element method.
8. R. B. Corr and A. Jennings 1976 International Journal of Numerical Methods and Engineering 10, 647-663. A simultaneous iteration algorithm for symmetric eigenvalue problems.
9. R. D. Mindlin 1951 Journal of Applied Mechanics American Society of Mechanical Engineers 18, 31-38. Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates.
10. W. Leissa 1973 Journal of Sound and Vibration 31, 257-293. The free vibration of rectangular plates.
11. K.M. Liew, Y. Xiang and S. Kitipornchai 1993 Computers and Structures 49, 1-29. Transverse vibration of thick rectangular plates - 1: comprehensive sets of boundary conditions.
12. K. M. Liew and K. Y. Lam 1990 Journal of Sound and Vibration 139, 241-252. Application of two dimensional orthogonal plate function of flexural vibration of skew plates.
13. M. Barik 1999 Ph.D. Thesis, Indian Institute of Technology, Kharagpur, India. Finite element static, dynamic and stability analysis of arbitrary stiffened plates.
14. S. Durvasula 1969 American Institute of Aeronautics and Astronautics Journal 7, 1164-1167. Natural frequencies and modes of clamped skew plates.
15. T. Mizusawa, T. Kajika M. and Naruoka 1979 Journal of Sound and Vibration 62, 301-308. Vibration of skew plates by using b-spline function.
16. C. S. Kim and S. M. Dickinson 1990 Journal of Sound and Vibration 141, 291-311. The free flexural vibration of right triangular isotropic and orthotropic plates.
17. G. N. Geannakakes 1995 Journal of Sound and Vibration 182, 441-478. Natural frequencies of arbitrarily shaped plates using the Rayleigh-Ritz method together with natural coordinate regions and normalized characteristic orthogonal polynomials.
18. C. G. Boay 1993 Computers and Structures 48, 39-47. Frequency analysis of rectangular isotropic plates carrying a concentrated mass.
19. H. L. Lee, S. P. Lim and S. T. Chow 1990 Computers and Structures 36, 861-869. Prediction of natural frequencies of rectangular plates with rectangular cutouts.