Evaluation of fundamental vibration frequency of an orthotropic bending plate by using an iterative approach

Computer Methods in Applied Mechanics and Engineering

Volumn 161, Issue 3-4, 1998, Pages 289-296

  Chen, Y Z ^a  

^a JIANGSU UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING;

FUNDAMENTAL VIBRATION FREQUENCY; ORTHOTROPIC BENDING PLATE;

ITERATIVE METHODS;

EID: 0032140392     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00321-6     Document Type: Article

References (10)

1. [1] S. Timoshenko, D.H. Young and W.J. Weaver, Vibration Problems in Engineering (John Wiley & Sons, New York, 1974).
2. [2] Z.Y. Cao, Vibration Theory of Plates and Shells (China Railway Press, Beijing, 1989) (In Chinese).
3. [3] R.F.S. Hearman, The frequency of flexural vibration of rectangular orthotropic plates with clamped or supported edges, J. Appl. Mech. 26 (1959) 537-540.
4. [4] S.F. Bassily and S.M. Dickinson, On the use of beam functions for problems of plates involving free edges, J. Appl. Mech. 42 (1975) 858-864.
5. [5] S.M. Dickinson and E.K.H. Li, On the use of simply supported plate functions in the Rayleigh-Ritz method applied to the flexural vibration of rectangular plates, J. Sound Vib. 80 (1982) 292-297.
6. [6] R.B. Bhat, Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method, J. Sound Vib. 102 (1985) 493-499.
7. [7] S.P. Timoshenko and J.N. Goodier, Theory of Elasticity (McGraw Hill, New York, 1970).
8. [8] Z.L. Xu, Theory of Elasticity (High Education Press, Beijing 1979) (In Chinese).
9. [9] F.B. Hildebland, Introduction to Numerical Analysis (McGraw-Hill, New York, 1974).
10. [10] V.C. Gontkewitz, Natural Vibration of Plates and Shells (Nayka Dymka, Kiev 1964) (In Russian).