Free Vibrations of Axially Loaded Beams With Concentrated Masses and Intermediate Elastic Supports

1994 ◽  
Vol 172 (4) ◽  
pp. 449-458 ◽  
Author(s):  
S. Kukla
Keyword(s):  
Free Vibrations ◽  
Elastic Supports ◽  
Concentrated Masses ◽  
Axially Loaded

Free Vibrations of Timoshenko Beams Carrying Elastically Mounted, Concentrated Masses

1993 ◽  
Vol 165 (2) ◽  
pp. 209-223 ◽  
Author(s):  
R.E. Rossi ◽  
P.A.A. Laura ◽  
D.R. Avalos ◽  
H. Larrondo
Keyword(s):  
Free Vibrations ◽  
Timoshenko Beams ◽  
Concentrated Masses

Free vibrations of stepped beams with intermediate elastic supports

1995 ◽  
Vol 181 (5) ◽  
pp. 905-910 ◽  
Author(s):  
M.A. De Rosa ◽  
P.M. Bellés ◽  
M.J. Maurizi
Keyword(s):  
Free Vibrations ◽  
Elastic Supports

Integral Equation Method for Free Vibration of Annular Plates with Elastic Supports

2011 ◽  
Vol 52-54 ◽  
pp. 573-577
Author(s):  
Gang Cheng ◽  
Wei Dong Wang ◽  
Quan Cheng
Keyword(s):  
Integral Equation ◽  
Eigenvalue Problem ◽  
Free Vibration ◽  
Infinite Order ◽  
Integral Equation Method ◽  
Free Vibrations ◽  
Equation Method ◽  
Orthogonal Functions ◽  
Elastic Supports ◽  
Annular Plates

Annular plates are commonly found in the fields of engineering. The present study is concerned with the integral equation method for the free vibrations of annular plates with elastic supports. A set of complete systems of orthogonal functions, which is constructed by Bessel functions of the first and the second kind is used to construct the Green's function of annular plates. The eigenvalue problem of free vibration of annular plates with Elastic Supports is transformed into the eigenvalue problem of integral equation. And then, the problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order. Numerical example shows the significant advantages of the present method.

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