An analytical solution of transverse vibration of rectangular plates simply supported at two opposite edges with arbitrary number of elastic line supports in one way

Applied Mathematics and Mechanics (English Edition)

Volumn 17, Issue 8, 1996, Pages 773-779

  Ding, Zhou ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Analytical solution; Eigen frequency; Elastic line support; Rectangular plate

Indexed keywords

DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS);

ANALYTICAL SOLUTION; EIGEN FREQUENCY; ELASTIC LINE SUPPORT; RECTANGULAR PLATE;

VIBRATIONS (MECHANICAL);

EID: 0030218480     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00189565     Document Type: Article

References (7)

1. A. S. Veletsos and N. M. Newmark, Determination of natural frequencies of continuous plates hinged, along two opposite edges, Journal of Applied Mechanics, 23 (1956).
2. S. Azimi, J. F. Hamilton and W. Soedel, The receptance method applied to the free vibration of continuous rectangular plates, Journal of Sound and Vibration, 93 (1984).
3. M. Mukhopadhyay, A semi-anayltic solution for free vibration of rectangular plates, Journal of Sound and Vibration, 60 (1978).
4. E. E. Ungar, Free oscillations of edge-connected simply supported plate system, Journal of Engineering for Industry, 83 (1961).
5. Y. K. Cheung and M. S. Cheung, Flexural vibrations of rectangular and other polygonal plates, Journal of the Engineering Mechanics Division, ASCE, 97 (1971).
6. Rèn Yongtai and Shi Xifu, Ordinary Differential Equation, Liaoning People's Press (1984). (in Chinese)
7. Vibration group of Tsing Hua University, Mechanical Vibration, Vol. 1, Mechanical Industry Press (1980). (in Chinese)