On a progressive simultaneous iteration method for vibration analysis of gyroscopic systems

2001 ◽  
Vol 51 (5) ◽  
pp. 609-617 ◽  
Author(s):  
K. K. Gupta ◽  
C. L. Lawson
Keyword(s):  
Iteration Method ◽  
Vibration Analysis ◽  
Simultaneous Iteration ◽  
Gyroscopic Systems

scholarly journals On Dynamics of Spinning Structures

2012 ◽  
Author(s):  
K. K. Gupta ◽  
A. Ibrahim
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Vibration Analysis ◽  
Matrix Eigenvalue Problem ◽  
Matrix Eigenvalue ◽  
Stiffness Matrices ◽  
Simultaneous Iteration ◽  
Line Elements ◽  
Gyroscopic Systems ◽  
Iteration Technique

This paper provides details of developments pertaining to vibration analysis of gyroscopic systems, that involves a finite element structural discretization followed by the solution of the resulting matrix eigenvalue problem by a progressive, accelerated simultaneous iteration technique. Thus Coriolis, centrifugal and geometrical stiffness matrices are derived for shell and line elements, followed by the eigensolution details as well as solution of representative problems that demonstrates the efficacy of the currently developed numerical procedures and tools.

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