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Perturbation bounds for stable gyroscopic systems
In this paper we consider linear gyroscopic mechanical systems.More precisely, we consider the perturbation theory for stable gyroscopic systems. We...
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Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres
We introduce and study the Chaplygin systems with gyroscopic forces. This natural class of nonholonomic systems has not been treated before. We put a...
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Multi-blade rubbing characteristics of the shaft-disk-blade-casing system with large rotation
Blade rubbing faults cause detrimental impact on the operation of aeroengines. Most of the existing studies on blade rubbing in the...
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The General Problem of Motion of a Rigid Body Acted upon by a Coaxial Combination of Potential and Gyroscopic Forces
In the last chapter, we have seen that the problem of motion of a body in a liquid or, more precisely, the alternative problem of motion of a body...
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Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system
A stochastic wheelset model with a nonlinear wheel-rail contact relationship is established to investigate the stochastic stability and stochastic...
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Linear Invariant Relations for the Equations of Motion of a Gyrostat with a Variable Gyrostatic Moment
We consider the problem of motion of a gyrostat under the action of potential and gyroscopic forces in the case where its gyrostatic moment is...
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On the Integrability and Stability of Stationary Solutions of the Goryachev–Sretensky Gyrostat
AbstractThe equations of motion of the Goryachev–Sretensky gyrostat are studied. All stationary solutions are found on the invariant set of the zero...
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Novel Versions of D-Stability in Matrices Provide New Insights into ODE Dynamics
It is well-known that a second-order ODE system admits a general matrix form of notation. In this work, we study general relations between system...
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On the Dynamics of Systems with Two Degrees of Freedom
AbstractThe dynamics of systems in a potential field is considered in the case where kinetic energy can be represented in conformal form. In the case...
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Adjacent mode resonance of a hydraulic pipe system consisting of parallel pipes coupled at middle points
The coupling vibration of a hydraulic pipe system consisting of two pipes is studied. The pipes are installed in parallel and fixed at their ends,...
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Research on modeling and self-excited vibration mechanism in magnetic levitation-collision interface coupling system
The modeling and self-excited vibration mechanism in the magnetic levitation-collision interface coupling system are investigated. The effects of the...
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Investigation on dynamic characteristics of a rod fastening rotor-bearing coupling system with fixed-point rubbing
The aim of this paper is to gain insight into the nonlinear vibration feature of a dynamic model of a gas turbine. First, a rod fastening...
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Stability of Gyroscopic Systems with Respect to Perturbations
A linear gyroscopic system is of the form:...
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Forced Vibrations in a Dynamic System That Is Damped By a Mechanism Which Trans-Pass Through Its Singular Position
The paper focuses on forced vibrations of a mechanical system. The system is composed of two structurally different parts: multibody modelled and...
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Computer Algebra Methods for Searching the Stationary Motions of the Connected Bodies System Moving in Gravitational Field
Computer algebra methods were used to find the stationary motions of the system of two bodies connected by a spherical hinge, that moves along a...
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Nonlinear Vibrations of an Uncertain Dual-Rotor Rolling Bearings System with Coupling Misalignment
In this paper, the nonlinear vibration responses of a dual-rotor system supported on the ball bearings considering coupling misalignment are...
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Gyroscopically Coupled In-Plane and Out-of-Plane Vibrations of Rotating Hollow Circular Plate: Case of In-Plane Axis of Rotation
AbstractIn this work, we construct and study a model of the coupled plane-transverse vibrations of a circular thin plate with a concentric hole under...
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Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators
This paper presents, for the first time, an analytical formulation to determine the transient response of an elastic beam possessing distributed...
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Investigation of Weight Effects on the Critical Speed of Inclined Turbocharger Rotor System
Turbochargers have been widely used in various base conditions, such as horizontal, vertical, or inclined. The prediction of the dynamics is of...
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Modal Analysis of a Thermally Loaded Functionally Graded Rotor System Using ANSYS
To overcome the demerits of the traditional composite materials, such as debonding due to the high residual stress at inter-laminar layers and...