We consider a gyroscopic system with two degrees of freedom under the action of small dissipative and non-conservative positional forces, which has its origin in the models of rotating bodies of revolution being in frictional contact. The spectrum of the unperturbed gyroscopic system forms a ”spectral mesh” in the plane ”frequency – gyroscopic parameter” with double semi-simple purely imaginary...

General relativistic effects around massive astrophysical objects can be captured using a test gyro orbiting the object in circular geodesic. This paper discusses how tidal field due to companion affects spin precession frequency and orbital angular velocity of spinning compact object. The is studied region space central perturbative approach. either neutron star or white dwarf this study. any ...

Observers are widely used to generate residuals for fault diagnosis processes. However the generated residuals are not only influenced by faults but also by disturbances and model uncertainties. In order to avoid false alarm and achieve a high fault detection rate disturbances and model uncertainties have to be considered in the fault detection and isolation (FDI) processes. In rotor systems th...

1 Mathematics Department, Preparatory Year Deanship, UmmAl-Qura University, P.O. Box 5555, Makkah 21955, Saudi Arabia 2 Faculty of Science, Tanta University, P.O. Box 31527, Tanta, Egypt 3 Mathematics Department, Faculty of Girls Education and Science, Taif University, Al-Khurmah Branch, P.O. Box 888, Taif 21974, Saudi Arabia 4 Electricity Department, Faculty of Engineering, Umm Al-Qura Univers...

Here, gyroscopic systems are time-invariant systems for which motions can be characterized by properties of a matrix pencil L(λ) = λ2I + λG − C, where GT = −G and C > 0. A strong stability condition is known which depends only on |G| (= (GT G)1/2 ≥ 0) and C. If a system with coefficients G0 and C satisfies this condition then all systems with the same C and with a G satisfying |G| ≥ |G0| are al...

Dynamic analysis of symmetric rotor with gyroscopic effect is performed in this study. First, equations of motion have been derived using Lagrange equation and then solved analytically by Homotopy Perturbation Method (HPM) and numerically appling Runge-Kutta-Fehlberg 4th-5th order method. Results are presented through graphs and table. Comparison of analytic outcomes with numerical ones showed ...

Described in this paper is a Self-Stabilizing Hybrid Bicycle. Gyroscope technology implemented to develop the balancing forces achieve stability on all terrains. The main principle revolves around generating counteracting torque help stabilize tilting action of vehicle. Along with this, we have introduced hybrid system prime cycle when rider tired. includes battery which can be charged by three...

Sommerfeld effect concerns the non-linear jump phenomena induced due to the influence of the unbalance response on a non-ideal drive around the critical speed of the excited structure. In this work, we study the influence of external and internal dampings and gyroscopic forces on the Sommerfeld effect in rotationally symmetric planar dynamical systems. The rotational symmetry assumption allows ...