scholarly journals Complex eigenvalue analysis and parameters analysis to investigate the formation of railhead corrugation in sharp curves

Wear ◽  
2020 ◽  
Vol 450-451 ◽  
pp. 203150
Author(s):  
O. El Beshbichi ◽  
C. Wan ◽  
S. Bruni ◽  
E. Kassa
Keyword(s):  
Eigenvalue Analysis ◽  
Complex Eigenvalue ◽  
Parameters Analysis ◽  
Complex Eigenvalue Analysis

Complex Eigenvalue Analysis Applied to an Aircraft Brake Vibration Problem

1995 ◽  
Author(s):  
Denis J. Feld ◽  
Dana J. Fehr
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Friction Force ◽  
Mode Shape ◽  
Element Model ◽  
Eigenvalue Analysis ◽  
Complex Eigenvalue ◽  
Friction Forces ◽  
Model Complex ◽  
Complex Eigenvalue Analysis

Abstract A conventional finite element model of an aircraft wheel and brake is extended to include forces responsible for friction-induced noise. Responses of aircraft brake vibration modes change the normal force across the brake friction interfaces, and consequently the friction forces. The resulting friction force variations are assembled in the form of a supplemental stiffness matrix and added to the finite element model. Complex eigenvalue analysis that includes the friction force variations provides frequency and mode shape information, as well as an assessment of the predicted mode stability. A predicted unstable vibration mode compares very well to operating mode shape data determined from instrumented tests. Hardware modifications to reduce a brake noise in an aircraft cabin were based on beneficial trends found from exercising the model. Implementation of the hardware modifications on the aircraft successfully suppressed the noise.

Real Asymmetric Matrix Eigenvalue Analysis for Dynamic Instability Problems

2000 ◽  
Author(s):  
Heewook Lee ◽  
Noboru Kikuchi
Keyword(s):  
Control Systems ◽  
Eigenvalue Problems ◽  
Dynamic Instability ◽  
Eigenvalue Analysis ◽  
Complex Eigenvalue ◽  
Friction Forces ◽  
Matrix Eigenvalue ◽  
Complex Eigenvalues ◽  
Complex Eigenvalue Analysis ◽  
Matrix Eigenvalue Problems

Abstract Complex eigenvalue analysis is widely used when the dynamic instability of the structure is in doubt due to friction forces, aerodynamic forces, control systems, or other effects. MSC/NASTRAN upper Hessenberg method and MATLAB eigenvalue solver produce fictitious nonzero real parts for real asymmetric matrix eigenvalue problems. For dynamic instability problems, since nonzero real parts of complex eigenvalues determine the unstable eigenvalues, the accuracy of real parts becomes crucial. The appropriate double shift QR or the QZ algorithms are applied to eliminate fictitious nonzero real parts and produce only authentic complex eigenvalues for real asymmetric matrix eigenvalue problems. Numerical examples are solved using the double shift QR and the QZ algorithms, and the results are compared with the results of MSC/NASTRAN upper Hessenberg method and MATLAB solvers.

scholarly journals Parameter Identification of Brake Pad Shims for Complex Eigenvalue Analysis

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Dominik Schmid ◽  
Vincent Sessner ◽  
Nils Gräbner ◽  
Utz von Wagner ◽  
Kay André Weidenmann
Keyword(s):  
Parameter Identification ◽  
Eigenvalue Analysis ◽  
Complex Eigenvalue ◽  
Brake Pad ◽  
Complex Eigenvalue Analysis
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