Development and System Analysis of a Two-Dimensional Rotational Freeplay Nonlinearity Model

2016 ◽  
Vol 53 (3) ◽  
pp. 860-865 ◽  
Author(s):  
David Asjes ◽  
Amit Diwadkar ◽  
Umesh Vaidya ◽  
Atul Kelkar
Keyword(s):  
System Analysis ◽  
Two Dimensional ◽  
Freeplay Nonlinearity

Analysis and modeling of an inverted pendulum system

2021 ◽  
Author(s):  
Keyword(s):  
Mathematical Model ◽  
Nonlinear System ◽  
Inverted Pendulum ◽  
System Analysis ◽  
Dimensional System ◽  
Two Dimensional ◽  
System Operation ◽  
Pendulum System ◽  
Inverted Pendulum System ◽  
Two Dimensional System

A nonlinear system, which consists of an inverted pendulum mounted on a cart with an electric drive, is considered. A mathematical model is created, its analysis and modeling of the investigated two-dimensional system operation is carried out. Keywords mathematical model; inverted pendulum; system analysis; state space

Robust Flutter Analysis of an Airfoil with Flap Freeplay Uncertainty

2008 ◽  
Vol 33-37 ◽  
pp. 1247-1252 ◽  
Author(s):  
Zhi Chun Yang ◽  
Ying Song Gu
Keyword(s):  
Control Surface ◽  
Two Dimensional ◽  
Advanced Technique ◽  
Worst Case ◽  
Wing Model ◽  
Freeplay Nonlinearity ◽  
Flutter Analysis ◽  
Flutter Boundary ◽  
Nominal Parameter ◽  
Flutter Margin

Modern robust flutter method is an advanced technique for flutter margin estimation. It always gives the worst-case flutter speed with respect to potential modeling errors. Most literatures are focused on linear parameter uncertainty in mass, stiffness and damping parameters, etc. But the uncertainties of some structural nonlinear parameters, the freeplay in control surface for example, have not been taken into account. A robust flutter analysis approach in μ-framework with uncertain nonlinear operator is proposed in this study. Using describing function method the equivalent stiffness formulation is derived for a two dimensional wing model with freeplay nonlinearity in its flap rotating stiffness. The robust flutter margin is calculated for the two dimensional wing with flap freeplay uncertainty and the results are compared with that obtained with nominal parameter values. It is found that by considering the perturbation of freeplay parameter more conservative flutter boundary can be obtained, and the proposed method in μ-framework can be applied in flutter analysis with other types of concentrated nonlinearities.

Linear Approximations for Swing Leg Motion During Gait

1984 ◽  
Vol 106 (2) ◽  
pp. 137-143 ◽  
Author(s):  
W. H. Lee ◽  
J. M. Mansour
Keyword(s):  
Linear Systems ◽  
System Analysis ◽  
Linear Time ◽  
Time Varying ◽  
Two Dimensional ◽  
State Variables ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Leg Motion ◽  
Time Invariant

The applicability of a linear systems analysis of two-dimensional swing leg motion was investigated. Two different linear systems were developed. A linear time-varying system was developed by linearizing the nonlinear equations describing swing leg motion about a set of nominal system and control trajectories. Linear time invariant systems were developed by linearizing about three different fixed limb positions. Simulations of swing leg motion were performed with each of these linear systems. These simulations were compared to previously performed nonlinear simulations of two-dimensional swing leg motion and the actual subject motion. Additionally, a linear system analysis was used to gain some insight into the interdependency of the state variables and controls. It was shown that the linear time varying approximation yielded an accurate representation of limb motion for the thigh and shank but with diminished accuracy for the foot. In contrast, all the linear time invariant systems, if used to simulate more than a quarter of the swing phase, yielded generally inaccurate results for thigh shank and foot motion.

Two-Dimensional Computer Control System Analysis

1992 ◽  
Vol 206 (1) ◽  
pp. 45-62 ◽  
Author(s):  
R Whalley ◽  
Z Zeng
Keyword(s):  
Control System ◽  
System Analysis ◽  
Arbitrary Order ◽  
Computer Control ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Digital Control System ◽  
Computer Control System ◽  
Function Models ◽  
Transfer Function Models

Digital control system models in two dimensions are considered. A stability algorithm for realizations of arbitrary order is derived. Typical results illustrating the assessment of absolute and relative stability for two-dimensional transfer function models are presented.

scholarly journals Comparison of Algorithms for Two-Dimensional Mechanical Performances of Squeeze Film Damper

1985 ◽  
Author(s):  
Shen Xinmin ◽  
Wen Yingmei
Keyword(s):  
Data Storage ◽  
Gas Turbines ◽  
System Analysis ◽  
Mechanical Performance ◽  
Squeeze Film ◽  
Two Dimensional ◽  
Time Saving ◽  
Squeeze Film Damper ◽  
Parabolic Interpolation ◽  
Mechanical Performances

The object of this paper is to explore some effective algorithms for two-dimensional mechanical performance of squeeze film damper used on gas turbines. A number of modern algorithms have been compared through detailed analyses and calulations. In the result, two effective algorithms with the solution of two-dimensional Reynolds equation and relative dimensionless data are presented together with a method for system analysis using dimensionless data storage and parabolic interpolation. The methods are more accurate and time-saving.

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