Non-linear limit cycle flutter of a plate with Hertzian contact in axial flow

Abstract: In this paper we study the stability of one of a non linear autoregressive model with trigonometric term by using local linearization method proposed by Tuhro Ozaki .We find the singular point ,the stability of the singular point and the limit cycle. We conclude that the proposed model under certain conditions have a non-zero singular point which is a asymptotically salable ( when 0 ) and have an orbitaly stable limit cycle . Also we give some examples in order to explain the method. Key Words : Non-linear Autoregressive model; Limit cycle; singular point; Stability.

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Non Linear Dynamic Behaviour of an One-Sided Hertzian Contact Excited by an External Gaussian White Noise Normal Excitation

Vibro-Impact Dynamics of Ocean Systems and Related Problems - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-642-00629-6_21 ◽

2009 ◽

pp. 215-215

Author(s):

J. Perret-Liaudet ◽

E. Rigaud

Keyword(s):

White Noise ◽

Dynamic Behaviour ◽

Gaussian White Noise ◽

Hertzian Contact ◽

Linear Dynamic ◽

Non Linear

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An Efficient Implementation of Non-Linear Limit State Analysis based on Lower-Bound Solutions

Proceedings of the Tenth International Conference on Civil, Structural and Environmental Engineering Computing ◽

10.4203/ccp.81.97 ◽

2009 ◽

Author(s):

L. Damkilde ◽

L. Juhl Schmidt

Keyword(s):

Lower Bound ◽

Limit State ◽

Efficient Implementation ◽

Limit State Analysis ◽

Linear Limit ◽

Non Linear ◽

State Analysis

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Analysis of Flutter-Induced Limit Cycle Oscillations in Gas-Turbine Structures With Friction, Gap, and Other Nonlinear Contact Interfaces

Journal of Turbomachinery ◽

10.1115/1.4006292 ◽

2012 ◽

Vol 134 (6) ◽

Cited By ~ 15

Author(s):

E. P. Petrov

Keyword(s):

Gas Turbine ◽

Limit Cycle ◽

Large Scale ◽

Direct Calculation ◽

Aerodynamic Characteristics ◽

Frequency Domain Method ◽

Nonlinear Contact ◽

Limit Cycle Flutter ◽

Interface Parameters ◽

First Time

A frequency-domain method has been developed to predict and comprehensively analyze the limit-cycle flutter-induced vibrations in bladed disks and other structures with nonlinear contact interfaces. The method allows, for the first time, direct calculation of the limit-cycle amplitudes and frequencies as functions of contact interface parameters and aerodynamic characteristics using realistic large-scale finite element models of structures. The effects of the parameters of nonlinear contact interfaces on limit-cycle amplitudes and frequencies have been explored for major types of nonlinearities occurring in gas-turbine structures. New mechanisms of limiting the flutter-induced vibrations have been revealed and explained.

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