scholarly journals Chaotic Motion of a Parametrically and Self-Excited Nonlinear Mechanical System Subjected to Harmonic Excitation.

1992 ◽  
Vol 58 (551) ◽  
pp. 2024-2031
Author(s):  
Keijin SATO ◽  
Sumio YAMAMOTO ◽  
Ayumi KATSUNUMA ◽  
Taketoshi NAMBU ◽  
Katsutoshi YOSHIDA
Keyword(s):  
Mechanical System ◽  
Chaotic Motion ◽  
Harmonic Excitation ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical System

Analysis of a 2DOF Nonlinear Mechanical System Using the Normal Form Method

2019 ◽  
Author(s):  
David Julian Gonzalez Maldonado ◽  
Peter Hagedorn ◽  
Thiago Ritto ◽  
Rubens Sampaio ◽  
Artem Karev
Keyword(s):  
Normal Form ◽  
Mechanical System ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical System ◽  
Normal Form Method

scholarly journals Motion modes of the nonlinear mechanical system of the rotor autobalancer

2019 ◽  
Vol 25 ◽  
pp. 1-6 ◽  
Author(s):  
Alexander Gorbenko ◽  
Guntis Strautmanis ◽  
Gennadiy Filimonikhin ◽  
Mareks Mezitis
Keyword(s):  
Mechanical System ◽  
Motion Modes ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical System

Multiobjective Robust Controller Synthesis for Nonlinear Mechanical System

2018 ◽  
Vol 19 (11) ◽  
pp. 691-698 ◽  
Author(s):  
G. L. Degtyarev ◽  
R. N. Faizutdinov ◽  
I. O. Spiridonov
Keyword(s):  
Robust Control ◽  
Control Theory ◽  
Mechanical System ◽  
Controller Design ◽  
Controller Synthesis ◽  
Control Law ◽  
Robust Controller ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical System ◽  
Robust Control Theory

In the paper multiobjective robust controller synthesis problem for nonlinear mechanical system described by Lagrange’s equations of the second kind is considered. Such tasks have numerous practical applications, for example in controller design of robotic systems and gyro-stabilized platforms. In practice, we often have to use uncertain mathematical plant models in controller design. Therefore, ensuring robustness in presence of parameters perturbations and unknown external disturbances is an important requirement for designed systems. Much of modern robust control theory is linear. When the actual system exhibits nonlinear behavior, nonlinearities are usually included in the uncertainty set of the plant. A disadvantage of this approach is that resulting controllers may be too conservative especially when nonlinearities are significant. The nonlinear H∞ optimal control theory developed on the basis of differential game theory is a natural extension of the linear robust control theory. Nonlinear theory methods ensure robust stability of designed control systems. However, to determine nonlinear H∞-control law, the partial differential equation have to be solved which is a rather complicated task. In addition, it is difficult to ensure robust performance of controlled processes when using this method. In this paper, methods of linear parameter-varying (LPV) systems are used to synthesize robust control law. It is shown, that Lagrange system may be adequately represented in the form of quasi-LPV model. From the computational point of view, the synthesis procedure is reduced to convex optimization techniques under constraints expressed in the form of linear matrix inequalities (LMIs). Measured parameters are incorporated in the control law, thus ensuring continuous adjustment of the controller parameters to the current plant dynamics and better performance of control processes in comparison with H∞-regulators. Furthermore, the use of the LMIs allows to take into account the transient performance requirements in the controller synthesis. Since the quasi-LPV system depends continuously on the parameter vector, the LMI system is infinite-dimensional. This infinitedimensional system is reduced to a finite set of LMIs by introducing a polytopic LPV representation. The example of multiobjective robust control synthesis for electro-optical device’s line of sight pointing and stabilization system suspended in two-axes inertially stabilized platform is given.

Computational and numerical analysis of a nonlinear mechanical system with bounded delay

2017 ◽  
Vol 91 ◽  
pp. 36-57 ◽  
Author(s):  
Marcos Rabelo ◽  
Luciana Silva ◽  
Romes Borges ◽  
Rosane Gonçalves ◽  
Marcos Henrique
Keyword(s):  
Numerical Analysis ◽  
Mechanical System ◽  
Bounded Delay ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical System

Behavioural Analysis of a Nonlinear Mechanical System Using Transient Trajectories

2003 ◽  
Vol 440-441 ◽  
pp. 51-58
Author(s):  
Hans Ingo Weber ◽  
José Manoel Balthazar ◽  
Débora Belato
Keyword(s):  
Mechanical System ◽  
Behavioural Analysis ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical System

Forced and Free Motion of a Mass on an Air Spring

1944 ◽  
Vol 11 (2) ◽  
pp. A101-A107
Author(s):  
B. Sussholz
Keyword(s):  
Mechanical System ◽  
Nonlinear Elasticity ◽  
Theoretical Investigation ◽  
Transient Response ◽  
Cylindrical Tube ◽  
The Other ◽  
Air Spring ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical System ◽  
Applied Forces

Abstract Results are given of a theoretical investigation of the transient response of a simple nonlinear mechanical system to various types of applied forces. A cylindrical tube closed at one end, with a light piston inserted in the other, was used experimentally, the nonlinear elasticity of the confined column of air governing the motion of the piston. Such systems have been used in ballistic studies to measure transient pressures, as well as for the measurement of pressures caused by other types of explosions in air.

Dynamics of a Nonlinear Mechanical Resonator in Micro-Electro-Mechanical Systems

2001 ◽  
Author(s):  
Albert C. J. Luo ◽  
F. Y. Wang
Keyword(s):  
Mechanical System ◽  
Natural Frequency ◽  
Chaotic Motion ◽  
Alternating Current ◽  
Micro Electro Mechanical System ◽  
Voltage Amplitude ◽  
Mechanical Resonator ◽  
Chaotic Motions ◽  
Micro Electro Mechanical Systems ◽  
Nonlinear Mechanical

Abstract Equilibrium, natural frequency and responses of a mechanical resonator with capacitors in a simplified micro-electro-mechanical system (MEMS) are determined. Under application of alternating current (AC) voltage, the resonant conditions for such a system are obtained. The chaotic motions in the vicinity of a specified resonant-separatrix are investigated analytically and numerically. For a given AC voltage amplitude, the AC frequency bands are obtained for chaotic motion in the specific resonant layers and resonant motions, and such chaotic motions can be sensed very easily by the output transducer in MEMS.

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