Free vibration solution for clamped orthotropic plates using the Kantorovich method

Journal of Sound and Vibration

Volumn 196, Issue 2, 1996, Pages 243-247

  Bercin, A N ^a  

^a KIRIKKALE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; DYNAMIC RESPONSE; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); RESONANCE; SHEAR DEFORMATION;

CLAMPED ORTHOTROPIC PLATE; DYNAMIC BEHAVIOUR; FREQUENCY EXCITATION; KANTOROVICH METHOD;

VIBRATIONS (MECHANICAL);

EID: 0030231498     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0479     Document Type: Editorial

References (11)

1. A. W. LEISSA 1978 Shock and Vibration Digest 10, 21-35. Recent research in plate vibrations, 1973-1976: complicating effects.
2. A. W. LEISSA 1981 Shock and Vibration Digest 13, 19-36. Plate vibration research, 1976-1980: complicating effects.
3. A. W. LEISSA 1987 Shock and Vibration Digest 19, 10-24. Recent studies in plate vibrations, 1981-85, Part II: complicating effects.
4. T. SAKATA and K. HOSOKAWA 1988 Journal of Sound and Vibration 125, 429-439. Vibrations of clamped orthotropic rectangular plates.
5. R. L. RAMKUMAR, P. C. CHEN and W. J. SANDERS 1987 American Institute of Aeronautics and Astronautics Journal 25, 146-151. Free vibration solution for clamped orthotropic plates using Lagrangian multiplier technique.
6. D. J. GORMAN 1990 Journal of Sound and Vibration 140, 391-411. Accurate free vibration analysis of clamped orthotropic plates by the method of superposition.
7. S. D. YU and W. L. CLEGHORN 1993 Journal of Sound and Vibration 163, 439-450. Generic free vibration of orthotropic rectangular plates with clamped and simply supported edges.
8. L. V. KANTOROVICH and I. V. KRYLOV 1964 Approximate Methods of Higher Analysis. New York: Interscience Publishers Inc.
9. A. D. KERR 1969 International Journal of Solids and Structures 5, 559-572. An extended Kantorovich method for the solution of eigenvalue problems.
10. R. JONES and B. J. MILNE 1976 Journal of Sound and Vibration 45, 309-316. Application of the extended Kantorovich method to the vibration of clamped rectangular plates.
11. R. D. MARANGONI, L. M. COOK and N. BASAVANHALLY 1978 International Journal of Solids and Structures 14, 611-623. Upper and lower bounds to the natural frequencies of vibration of clamped rectangular orthotropic plates.