scholarly journals A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

2008 ◽  
Vol 2 (3) ◽  
pp. 611-640 ◽  
Author(s):  
Steven W. SHAW ◽  
Balakumar BALACHANDRAN
Keyword(s):  
Nonlinear Dynamics ◽  
Mechanical Systems

scholarly journals High Order Sliding Mode Control for Suppression of Nonlinear Dynamics in Mechanical Systems with Friction

10.5772/15994 ◽  
2011 ◽  
Author(s):  
Rogelio Hernandez ◽  
America Morales ◽  
Norberto Flores ◽  
Eliseo Hernandez ◽  
Hector Puebl
Keyword(s):  
Nonlinear Dynamics ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Mechanical Systems ◽  
High Order ◽  
Mode Control

Recent Developments in Nonlinear Dynamics of Mechanical Systems

1994 ◽  
pp. 13-24
Author(s):  
D. H. Campen ◽  
A. Kraker ◽  
E. L. B. Vorst ◽  
J. A. W. Spek
Keyword(s):  
Nonlinear Dynamics ◽  
Mechanical Systems ◽  
Recent Developments

Nonlinear dynamics of polyaggregate mechanical systems with thermal convection

1992 ◽  
Vol 28 (4) ◽  
pp. 252-257
Author(s):  
Yu. V. Radysh ◽  
A. S. Kireev ◽  
G. A. Legeida
Keyword(s):  
Nonlinear Dynamics ◽  
Thermal Convection ◽  
Mechanical Systems

On the Dynamic Response of Actuation Devices in Nonlinear Dynamics Systems

2013 ◽  
Author(s):  
Jahangir Rastegar ◽  
Dake Feng
Keyword(s):  
Nonlinear Dynamics ◽  
Dynamic Response ◽  
Control Systems ◽  
Mechanical Systems ◽  
Inertial Load ◽  
Feed Forward ◽  
Feed Forward Control ◽  
Actuation System ◽  
Actuation Devices ◽  
Actuation Systems

This paper presents a study of the dynamic response of actuation devices used in mechanical systems with nonlinear dynamics such as robot manipulators. The study shows that the actuation forces/torques provided by actuation devices can be divided into two basic groups. The first group corresponds to the components of each actuator force/torque that is “actuator motion independent”. The dynamic response of this group is relatively high and limited only by the dynamic response limitations — for the case of electrically driven actuation systems — of the driving power amplifiers, electronics, computational and signal processing devices and components. The second group corresponds to those components of the actuator forces/torques that is “actuator motion dependent”. The dynamic response of this group is relatively low and dependent on the actuator effective inertial load and actuation speed. In all mechanical systems that are properly designed, the dynamic response of the first group is significantly higher than those of the second group. By separating the required actuating forces/torques into the above two groups, the dynamic response of such nonlinear dynamics systems may be determined for a given synthesized trajectory. The information can also be used to significantly increase the performance of control systems of such mechanical systems. When a feed-forward control signal is used, the performance of the system is shown to be significantly improved by generating each one of the group of components separately considering the dynamic response of the actuation system to each one of the groups of components. An example and practical methods of implementing the proposed feed-forward control for nonlinear dynamics systems are provided.

Impact-Based Modeling of Backlash in Gear Driven Systems

2011 ◽  
Author(s):  
Hari Vasudevan ◽  
John Morrell
Keyword(s):  
Nonlinear Dynamics ◽  
Mechanical Systems ◽  
Coefficient Of Restitution ◽  
Impact Behavior ◽  
Feedback Controllers ◽  
Driven Systems ◽  
Modeling Approach ◽  
Piecewise Model ◽  
Simulation Results

Backlash in gears creates nonlinear dynamics in mechanical systems and has been analyzed using a variety of methods and models. In this paper, we present a nonlinear, piecewise model for backlash dynamics that incorporates a coefficient of restitution to account for impact behavior during limit cycling. We analyze the energy absorbed by the collisions and derive a constraint for feedback controllers. We conclude with simulation results using this modeling approach.

Nonlinear Dynamics of Mechanical Systems with Sectional Frictions

2007 ◽  
pp. 754-757
Author(s):  
Bang Chun Wen ◽  
Zhao Hui Ren ◽  
Qing Kai Han ◽  
Xiao Peng Li ◽  
Ju Quan Mao
Keyword(s):  
Nonlinear Dynamics ◽  
Mechanical Systems

Nonlinear Dynamics of Mechanical Systems with Sectional Frictions

2007 ◽  
Vol 353-358 ◽  
pp. 754-757 ◽  
Author(s):  
Bang Chun Wen ◽  
Zhao Hui Ren ◽  
Qing Kai Han ◽  
Xiao Peng Li ◽  
Ju Quan Mao
Keyword(s):  
Nonlinear Dynamics ◽  
Mechanical System ◽  
Dynamic Characteristics ◽  
Nonlinear Theory ◽  
Asymptotic Method ◽  
Nonlinear Dynamic ◽  
Mechanical Systems ◽  
Friction Coefficients ◽  
Damping Coefficients ◽  
Nonlinear Dynamic Characteristics

This paper presents mainly the nonlinear dynamics of the mechanical system with sectional frictions and combination friction coefficients. It is clear that the nonlinear dynamic characteristics of mechanical systems with sectional frictions are quite different from those of classical machinery, and have more precise and valuable in many practical projects. The expressions of various nonlinear forces are given firstly and the approximation solutions of the system are found with asymptotic method in nonlinear theory, and the combination friction coefficients and damping coefficients of the materials are obtained. Then some nonlinear dynamic characteristics of the system with sectional frictions are also discussed. The results are very important for designers of these machines.

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