Lanczos method applied to the solution of eigenvalue problems of cyclic symmetric structures

1990 ◽  
Vol 34 (2) ◽  
pp. 349-353
Author(s):  
D.G. Mangsuli ◽  
V. Ramamurti
Keyword(s):  
Eigenvalue Problems ◽  
Lanczos Method ◽  
Cyclic Symmetric ◽  
Symmetric Structures

Application of block Lanczos method for analysis of cyclic symmetric structures

1993 ◽  
Vol 36 (2) ◽  
pp. 273-285
Author(s):  
P. Balasubramanian ◽  
J. G. Jagadeesh ◽  
H. K. Suhas ◽  
V. Ramamurti
Keyword(s):  
Lanczos Method ◽  
Cyclic Symmetric ◽  
Block Lanczos ◽  
Symmetric Structures ◽  
Block Lanczos Method

On the Use of the Ritz-Wilson Method for the Dynamic Response Analysis of Cyclic Symmetric Structures

1993 ◽  
Vol 164 (2) ◽  
pp. 193-206 ◽  
Author(s):  
P. Balasubramanian ◽  
J.G. Jagadeesh ◽  
H.K. Suhas ◽  
A.K. Srivastava ◽  
V. Ramamurti
Keyword(s):  
Dynamic Response ◽  
Response Analysis ◽  
Dynamic Response Analysis ◽  
Cyclic Symmetric ◽  
Symmetric Structures

Vibration Analysis of Aeroengine Compressor Blade-Disc Coupling System

2009 ◽  
Vol 16-19 ◽  
pp. 264-268 ◽  
Author(s):  
Wei Qiang Zhao ◽  
Yong Xian Liu ◽  
Mo Wu Lu
Keyword(s):  
Optimal Design ◽  
Dynamic Characteristics ◽  
Vibration Analysis ◽  
Compressor Blade ◽  
Analysis Method ◽  
Safety Verification ◽  
Coupling System ◽  
Characteristics Analysis ◽  
Cyclic Symmetric ◽  
Symmetric Structures

This paper introduces the FEA method for cyclic symmetric structures and makes an vibration characteristics analysis to a certain aeroengine compressor blade-disc coupling system based on this method. According to the anslysis results the dynamic characteristics of the blade-disc coupling system are discussed. The analysis method and results in this paper can be used for further study on optimal design and vibration safety verification for the blade-disc coupling system.

Generalizing of Numerically Solving Methods of Eigenvalue Problems to Asymmetrical, Damping Included Case

2001 ◽  
Author(s):  
Shahram Rezaei
Keyword(s):  
Eigenvalue Problem ◽  
Eigenvalue Problems ◽  
Lanczos Method ◽  
Subspace Method ◽  
Damping Matrix ◽  
Stiffness Matrices

Abstract In this paper, “Subspace” method is generalized to asymmetrical case. In the new algorithm described here, “Lanczos” method is used to find the first subspace and to solve the eigenvalue problem resulted in generalized subspace method. To solve the standard eigenvalue problem developed by “Lanczos” method “Jacoby” method is used. If eigenvalue problem includes damping matrix, that will be imported in new defined mass and stiffness matrices.

SOME STUDIES ON FREE VIBRATION ANALYSIS OF CYCLIC SYMMETRIC STRUCTURES USING SUBSPACE METHOD

1993 ◽  
Vol 10 (3) ◽  
pp. 279-286
Author(s):  
P. BALASUBRAMANIAN ◽  
J.G. JAGADEESH ◽  
H.K. SUHAS ◽  
V. RAMAMURTI
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Subspace Method ◽  
Cyclic Symmetric ◽  
Symmetric Structures

Free-vibration analysis of cyclic symmetric structures

1991 ◽  
Vol 7 (2) ◽  
pp. 131-139 ◽  
Author(s):  
P. Balasubramanian ◽  
J. G. Jagadeesh ◽  
H. K. Suhas ◽  
V. Ramamurti
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Cyclic Symmetric ◽  
Symmetric Structures
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