The Experts below are selected from a list of 282 Experts worldwide ranked by ideXlab platform
Nasar Eldin Abdel-sattar - One of the best experts on this subject based on the ideXlab platform.
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Stability analysis of rotor-bearing systems via Routh-Hurwitz Criterion
Applied Energy, 2004Co-Authors: Abd Alla El-marhomy, Nasar Eldin Abdel-sattarAbstract:A method of analysis is developed for studying the whirl stability of rotor-bearing systems without the need to solve the governing differential-equations of motion of such systems. A mathematical model, comprised of an axially-symmetric appendage at the mid-span of a spinning shaft mounted on two dissimilar eight-coefficient bearings, is used to illustrate the method. Sufficient conditions for asymptotic stability of both the translational and rotational modes of motion of the system have been derived. The system's stability boundaries, presented graphically in terms of the various system non-dimensionalized parameters, afford a comprehensive demonstration of the effects of such parameters on the system's stability of motion.
Abd Alla El-marhomy - One of the best experts on this subject based on the ideXlab platform.
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Stability analysis of rotor-bearing systems via Routh-Hurwitz Criterion
Applied Energy, 2004Co-Authors: Abd Alla El-marhomy, Nasar Eldin Abdel-sattarAbstract:A method of analysis is developed for studying the whirl stability of rotor-bearing systems without the need to solve the governing differential-equations of motion of such systems. A mathematical model, comprised of an axially-symmetric appendage at the mid-span of a spinning shaft mounted on two dissimilar eight-coefficient bearings, is used to illustrate the method. Sufficient conditions for asymptotic stability of both the translational and rotational modes of motion of the system have been derived. The system's stability boundaries, presented graphically in terms of the various system non-dimensionalized parameters, afford a comprehensive demonstration of the effects of such parameters on the system's stability of motion.
Ioan Ursu - One of the best experts on this subject based on the ideXlab platform.
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stability analysis for a nonlinear model of a hydraulic servomechanism in a servoelastic framework
Nonlinear Analysis-real World Applications, 2009Co-Authors: Andrei Halanay, Carmen Anca Safta, Felicia Ursu, Ioan UrsuAbstract:Abstract The effects of mounting structure stiffness on mechano-hydraulic servomechanisms actuating aircraft primary flight controls are modeled by a six-dimensional nonlinear system of ordinary differential equations. Stability analysis of equilibria reveals the presence of a critical case that is handled through the use of the Lyapunov–Malkin theorem. Stability charts are drawn using the Routh–Hurwitz Criterion for the stability of a fifth-degree polynomial. Comparison with previous results shows how the stability of equilibria can be ensured exploiting the positive influence of structural feedback.
Andrei Halanay - One of the best experts on this subject based on the ideXlab platform.
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stability analysis for a nonlinear model of a hydraulic servomechanism in a servoelastic framework
Nonlinear Analysis-real World Applications, 2009Co-Authors: Andrei Halanay, Carmen Anca Safta, Felicia Ursu, Ioan UrsuAbstract:Abstract The effects of mounting structure stiffness on mechano-hydraulic servomechanisms actuating aircraft primary flight controls are modeled by a six-dimensional nonlinear system of ordinary differential equations. Stability analysis of equilibria reveals the presence of a critical case that is handled through the use of the Lyapunov–Malkin theorem. Stability charts are drawn using the Routh–Hurwitz Criterion for the stability of a fifth-degree polynomial. Comparison with previous results shows how the stability of equilibria can be ensured exploiting the positive influence of structural feedback.
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Geometric control in a regulator problem for electrohydraulic servos
2007 Mediterranean Conference on Control & Automation, 2007Co-Authors: L. Ursu, F. Ursu, Andrei Halanay, S. BaleaAbstract:A five-dimensional nonlinear mathematical model of the electrohydraulic servo(mechanism) is considered. In the system equilibria analysis, the critical case of a zero eigenvalue occurs. The Lyapunov-Malkin theorem and Routh-Hurwitz Criterion provide conditions for controllers to stabilize all relevant equilibria in the closed-loop system. Geometric control paradigm is then applied in synthesis and the performance of the obtained controlled system is numerically validated from viewpoint of the regulator classical problem.
Y. E. Bakankus - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic stability for third-order non-homogeneous differential-operator equations
Arabian Journal of Mathematics, 2018Co-Authors: Y. Yilmaz, I. A. Kosal, Y. E. BakankusAbstract:In this article, global asymptotic stability of solutions of non-homogeneous differential-operator equations of the third order is studied. It is proved that every solution of the equations decays exponentially under the Routh–Hurwitz Criterion for the third order equations.