Parametric stability of a charged pendulum with oscillating suspension point

2021 ◽  
Vol 284 ◽  
pp. 23-38
Author(s):  
Hildeberto E. Cabral ◽  
Adecarlos C. Carvalho
Keyword(s):  
Suspension Point ◽  
Parametric Stability

Parametric Stability of a Charged Pendulum with an Oscillating Suspension Point

2021 ◽  
Vol 26 (1) ◽  
pp. 39-60
Author(s):  
Gerson Cruz Araujo ◽  
Hildeberto E. Cabral
Keyword(s):  
Suspension Point ◽  
Parametric Stability

Simulation of oscillatory processes in the MVSTUDIUM package

2022 ◽  
Vol 14 (4) ◽  
pp. 139-148
Author(s):  
Aleksandr Poluektov ◽  
Konstantin Zolnikov ◽  
V. Antsiferova
Keyword(s):  
Mathematical Model ◽  
Friction Force ◽  
Computer Models ◽  
3D Models ◽  
Oscillatory Process ◽  
Suspension Point ◽  
Factors Affecting ◽  
2D And 3D ◽  
The Mathematical Model ◽  
Oscillatory Processes

The mathematical model and algorithms of oscillatory movements are considered. Various factors affecting the oscillatory process are considered. Oscillatory movements are constructed in the MVSTUDIUM modeling environment. The schemes of three computer models demonstrating oscillatory processes are determined: a model of a pendulum with a non-movable suspension point, a model of a pushing pendulum with friction force and a model of a breaking pendulum. Classes are being built to execute models with embedded properties, as well as with the ability to export the created classes to other models, and embed classes created by the program developer into the model. Creation of 2D and 3D models of oscillatory processes, an experiment behavior map and a virtual stand.

Vibration Control of a Beam Embedded With an Electrorheological Fluid

1995 ◽  
Author(s):  
Tyler J. Selstad ◽  
Kambiz Farhang ◽  
David Chelidze
Keyword(s):  
Control Method ◽  
Structural Member ◽  
Multiple Time Scales ◽  
Multiple Time ◽  
Parametric Stability ◽  
Stability Boundaries ◽  
Electrical Field Strength ◽  
Varying Coefficients ◽  
Time Varying Coefficients ◽  
Er Fluid

Abstract Electrorheological (ER) fluids are known to exhibit damping and stiffness properties which are highly dependent on the induced electrical field strength within the ER medium. Incorporation of ER fluid within a structural member then provides a means of stiffness and damping variation of the member. A structural member with embedded ER fluid is considered. Equations governing the axial and transverse motions of the member are reduced to a system of linear ordinary differential equations with time-varying coefficients. Application of the multiple time scales method results in amplitude-frequency relations. A control method is considered in which the effect of embedded ER fluid damping modulation using a simple harmonic excitation voltage on the parametric stability boundaries of the member is examined. Results indicate that the parametric stability boundaries can change effecting various modulation amplitudes and frequencies.

Evaluation of maize genotypes using parametric and non-parametric stability estimates

2006 ◽  
Vol 34 (2-3) ◽  
pp. 925-931 ◽  
Author(s):  
W. Abera ◽  
M. Labuschagne ◽  
H. Maartens
Keyword(s):  
Stability Estimates ◽  
Parametric Stability ◽  
Maize Genotypes ◽  
Non Parametric

scholarly journals Non-Parametric Stability Analysis of Tuber Yield in Potato (Solanum tuberosum L.) Genotypes

2018 ◽  
Vol 10 (28) ◽  
pp. 50-63
Author(s):  
mina moghaddaszadeh ◽  
Rasool Asghari Zakaria ◽  
Davoud Hassanpanah ◽  
naser zare ◽  
◽  
...  
Keyword(s):  
Solanum Tuberosum ◽  
Stability Analysis ◽  
Tuber Yield ◽  
Solanum Tuberosum L ◽  
Parametric Stability ◽  
Non Parametric

scholarly journals FLUCTUATIONS OF THE CARGO TRANSPORTED BY LIFTING CRANE: SIMULATION AND ANALYSIS

2019 ◽  
Vol 16 (5) ◽  
pp. 526-533
Author(s):  
M. S. Korytov ◽  
V. S. Shcherbakov ◽  
V. E. Belyakov
Keyword(s):  
Objective Function ◽  
Arbitrary Order ◽  
Deflection Angle ◽  
Suspension Point ◽  
Program Code ◽  
First Derivative ◽  
Urgent Task ◽  
Acceleration And Deceleration ◽  
The Deflection Angle ◽  
Simulation Results

Introduction. Reducing fluctuations in the load transported by hoisting cranes with a flexible rope suspension of the load is an urgent task since it can significantly reduce the time taken to complete the operation of moving the load. A promising direction for reducing load fluctuations is to optimize the trajectory of movement of the load suspension upper point.Materials and methods. The paper discussed the method of mathematical simulation of plane vibrations of a load moved by a crane with a horizontally moving suspension point, using the software of the MATLAB system. For modeling, the authors used the function of the MATLAB ode45 system, intended for the numerical solution of systems of non-stationary differential equations of arbitrary order.The second-order differential equation used to describe the fluctuations of the transported load and its implementation in the form of program code was presented. Moreover, the authors demonstrated the elements of program code for the analysis and visualization of simulation results.Results. The authors obtained and presented the series of graphs in the inclination angle’s changing of the cargo rope, the acceleration of the suspension point and the value of the objective function with the sinusoidal nature of the acceleration. The objective function was the sum of the absolute values of the deflection angle of the rope and the first derivative at the final moment of the suspension point’s movement with acceleration.Discussion and conclusions. As a result, the paper shows that the system with energy dissipation does not reach the zero value of the objective function even by a symmetrical nature of acceleration and deceleration of the suspension point. Therefore, it is necessary to give asymmetry to the acceleration and deceleration periods of the suspension point in order to completely absorb the residual fluctuations of the load.

scholarly journals Flutter and parametric stability analysis of axially moving composite graphene sheets

2019 ◽  
Vol 286 ◽  
pp. 01008
Author(s):  
A. Azrar ◽  
N. Fakri ◽  
A.A. Aljinaidi ◽  
L. Azrar
Keyword(s):  
Harmonic Balance ◽  
Differential Quadrature Method ◽  
Nonlocal Parameter ◽  
Excitation Frequency ◽  
Equation Of Motion ◽  
Graphene Sheets ◽  
Parametric Stability ◽  
Various Boundary Conditions ◽  
Axially Moving ◽  
Fibers Orientation

The dynamic analysis instability of axially moving rectangular composite graphene sheets with visco elastic foundation is modeled and numerically simulated for various boundary conditions based on the differential quadrature method (DQM). The partial differential equation of motion based on the nonlocal elasticity and the Kirchhoff plate theories is given. The Galerkin and harmonic balance methods are used for the linear and parametric vibration analysis. The influences of nonlocal parameter, the fibers orientation and the viscoelastic foundation effects on the dynamic behaviors of the rectangular graphene sheet as well as the instabilities induced by the time dependent axial speed and its excitation frequency are investigated.

Quasi-periodic Motions of a Pendulum with Vibrating Suspension Point

2019 ◽  
Vol 7 (5) ◽  
pp. 519-532
Author(s):  
R. Wen ◽  
T. T. Li ◽  
B. Zhen
Keyword(s):  
Periodic Motions ◽  
Suspension Point
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