Free vibration of shear-deformable general triangular plates

Journal of Sound and Vibration

Volumn 199, Issue 4, 1997, Pages 595-613

  Karunasena, W ^a   Kitipornchai, S ^b  

^a JAMES COOK UNIVERSITY   (Australia)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FREE VIBRATION; MASS MATRIX; PARAMETRIC STUDY; RAYLEIGH-RITZ MODEL; REISSNER-MINDLIN THEORY; TRIANGULAR PLATES;

BOUNDARY CONDITIONS; FUNCTIONS; GRAPHIC METHODS; NATURAL FREQUENCIES; NUMERICAL ANALYSIS; POLYNOMIALS; SHEAR DEFORMATION; STIFFNESS MATRIX; VIBRATIONS (MECHANICAL);

PLATES (STRUCTURAL COMPONENTS);

EID: 0030713954     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0613     Document Type: Article

References (20)

1. A. W. LEISSA 1969 Vibration of Plates (NASA SP-160). Washington, D.C.: Office of Technology Utilization, NASA.
2. A. W. LEISSA 1977 The Shock and Vibration Digest 9, 13-24. Recent research in plate vibrations: classical theory.
3. A. W. LEISSA 1981 The Shock and Vibration Digest 13, 11-12. Plate vibration research 1976-1980: classical theory.
4. A. W. LEISSA 1987 The Shock and Vibration Digest 19, 11-18. Recent research in plate vibrations 1981-1985. Part I. classical theory.
5. C. S. KIM and S. M. DICKINSON 1990 Journal of Sound and Vibration 141, 291-312. The free flexural vibration of right triangular isotropic and orthotropic plates.
6. C. S. KIM and S. M. DICKINSON 1992 Journal of Sound and Vibration 152, 383-403. The free flexural vibration of isotropic and orthotropic general triangular shaped plates.
7. K. Y. LAM, K. M. LIEW and S. T. CHOW 1990 International Journal of Mechanical Sciences 32, 455-464. Free vibration analysis of isotropic and orthotropic triangular plates.
8. B. SINGH and S. CHAKRAVERTY 1992 International Journal of Mechanical Sciences 34, 947-955. Transverse vibration of triangular plates using characteristic orthogonal polynomials in two variables.
9. O. G. MCGEE, A. W. LEISSA and C. S. HUANG 1992 International Journal of Mechanical Sciences 34, 63-84. Vibrations of cantilevered skewed trapezoidal and triangular plates with corner stress singularities.
10. E. REISSNER 1945 American Society of Mechanical Engineers Journal of Applied Mechanics 12, 69-76. The effect of transverse shear deformation on the bending of elastic plates.
11. R. D. MINDLIN 1951 American Society of Mechanical Engineers Journal of Applied Mechanics 18, 1031-1036. Influence of rotary inertia and shear in flexural motion of isotropic elastic plates.
12. O. G. MCGEE and T. S. BUTALIA 1992 Computers and Structures 45, 1033-1059. Natural vibrations of shear deformable cantilevered skewed trapezoidal and triangular thick plates.
13. S. KITIPORNCHAI, K. M. LIEW, Y. XIANG and C. M. WANG 1993 International Journal of Mechanical Sciences 35, 89-102. Free vibration of isosceles triangular Mindlin plates.
14. K. M. LIEW, Y. XIANG and S. KITIPORNCHAI 1993 Computers and Structures 49, 1-78. Transverse vibration of thick rectangular plates.
15. K. M. LIEW, Y. XIANG, S. KITIPORNCHAI and C. M. WANG 1993 Journal of Sound and Vibration 168, 39-69. Vibration of thick skew plates based on Mindlin shear deformation plate theory.
16. Y. XIANG, K. M. LIEW and S. KITIPORNCHAI 1993 American Society of Civil Engineers Journal of Engineering Mechanics 119, 1579-1599. Transverse vibration of thick annular sector plates.
17. B. J. GARBOW, J. M. BOYLE, J. J. DONGARRA and C. B. MOLER 1977 Matrix eigensystem routines - EISPACK guide extension. New York: Springer-Verlag.
18. D. J. GORMAN 1986 Journal of Sound and Vibration 106, 419-431. Free vibration analysis of right triangular plates with combinations of clamped-simply supported boundary conditions.
19. D. J. GORMAN 1983 Journal of Sound and Vibration 89, 107-118. A highly accurate analytical solution for free vibration analysis of simply supported right triangular plates.
20. D. J. GORMAN 1989 Journal of Sound and Vibration 131, 115-125. Accurate free vibration analysis of right triangular plates with one free edge.