Nonlinear dynamics of the rotating beam with time-varying speed under aerodynamic loads

2021 ◽  
Author(s):  
M. Eftekhari ◽  
Sina Owhadi
Keyword(s):  
Nonlinear Dynamics ◽  
Time Varying ◽  
Rotating Beam ◽  
Aerodynamic Loads

Modeling and nonlinear dynamics analysis of a rotating beam with dry friction support boundary conditions

2021 ◽  
Vol 498 ◽  
pp. 115978
Author(s):  
Chaofeng Li ◽  
Xiaowen Liu ◽  
Qiansheng Tang ◽  
Zilin Chen
Keyword(s):  
Nonlinear Dynamics ◽  
Boundary Conditions ◽  
Dry Friction ◽  
Dynamics Analysis ◽  
Rotating Beam

scholarly journals Nonlinear Dynamics of a Spur Gear Pair with Time-Varying Stiffness and Backlash

2004 ◽  
Vol 23 (3) ◽  
pp. 179-187 ◽  
Author(s):  
Shen Yongjun ◽  
Yang Shaopu ◽  
Pan Cunzhi ◽  
Liu Xiandong
Keyword(s):  
Nonlinear Dynamics ◽  
Spur Gear ◽  
Time Varying ◽  
Gear Pair

Adaptive second-order consensus of multi-agent systems with heterogeneous nonlinear dynamics and time-varying delays

2013 ◽  
Vol 118 ◽  
pp. 289-300 ◽  
Author(s):  
Bo Liu ◽  
Xiaoling Wang ◽  
Housheng Su ◽  
Yanping Gao ◽  
Li Wang
Keyword(s):  
Nonlinear Dynamics ◽  
Second Order ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

Aeroelastic Suppression of Wind Turbine Blade Using Trailing-Edge Flap

2013 ◽  
Author(s):  
Nailu Li ◽  
Mark J. Balas
Keyword(s):  
Adaptive Control ◽  
Wind Turbine ◽  
Stability Theorem ◽  
Time Varying ◽  
Aeroelastic System ◽  
Aerodynamic Loads ◽  
Proposed Model ◽  
Control Scheme ◽  
Trailing Edge Flap ◽  
Adaptive Control Scheme

The variation of aeroelastic system dynamics is treated as the change of time-varying aerodynamic loads along the operation trajectory of a spinning wind turbine. An Adaptive Control scheme is introduced to suppress flutter based on the proposed model. The robustness and effectiveness of Adaptive Control is shown by simulation results. For stability analysis, Adaptive Stability Theorem is proved theoretically by Kalman-Yacubovic Lemma and demonstrated numerically by certain cases.

Analysis of Nonlinear Dynamics for a Rotor-Active Magnetic Bearing System With Time-Varying Stiffness: Part I — Formulation and Local Bifurcations

2003 ◽  
Author(s):  
Wei Zhang ◽  
Jean W. Zu
Keyword(s):  
Nonlinear Dynamics ◽  
Steady State ◽  
Transient State ◽  
Magnetic Bearing ◽  
Active Magnetic Bearing ◽  
Time Varying ◽  
Quasiperiodic Solutions ◽  
Local Bifurcations ◽  
Averaged Equations ◽  
Amb System

In this two-part paper, we investigate nonlinear dynamics in the rotor-active magnetic bearings (AMB) system with 8-pole legs and the time-varying stiffness. The model of parametrically excited two-degree-of-freedom nonlinear system with the quadratic and cubic nonlinearities is established to explore the periodic and quasiperiodic motions as well as the bifurcations and chaotic dynamics of the system. The method of multiple scales is used to obtain the averaged equations in the case of primary parameter resonance and 1/2 subharmonic resonance. In Part I of the companion paper, numerical approach is applied to the averaged equations to find the periodic, quasiperiodic solutions and local bifurcations. It is found that there exist 2-period, 3-period, 4-period, 5-period, multi-period and quasiperiodic solutions in the rotor-AMB system with 8-pole legs and the time-varying stiffness. The catastrophic phenomena for the amplitude of nonlinear oscillations are first observed in the rotor-AMB system with 8-pole legs and the time-varying stiffness. The procedures of motion from the transient state chaotic motion to the steady state periodic and quasiperiodic motions are also found. The results obtained here show that there exists the ability of autocontrolling transient state chaos to the steady state periodic and quasiperiodic motions in the rotor-AMB system with 8-pole legs and the time-varying stiffness.

Stability Analysis of a Linearized MEMS

2004 ◽  
Author(s):  
A. Khazaei ◽  
M. Rastgaar Aagaah ◽  
M. Mahinfalah ◽  
N. Mahmoudian ◽  
G. Nakhaie Jazar
Keyword(s):  
Nonlinear Dynamics ◽  
Stability Analysis ◽  
Frequency Response ◽  
Dynamic Behavior ◽  
Stability Theory ◽  
Perturbation Methods ◽  
Time Varying ◽  
Design And Optimization ◽  
System Parameters ◽  
The Stability

This paper presents the stability theory and dynamic behavior of a micro-mechanical parametric-effect resonator. The device is a MEMS time-varying capacitor. The nonlinear dynamics of the MEMS are investigated analytically, and numerically. Applying perturbation methods, and deriving an analytical equation to describe the frequency response of the system enables the designer to study the effect of changes in the system parameters that can be used for design and optimization of the system.

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