Gyroscopic systems in classical and quantum field theory are characterized by the presence of at least two scalar degrees freedom terms that mix fields their time derivatives quadratic Lagrangian. In Minkowski spacetime, they naturally appear a coupling among with time-dependent vacuum expectation values space-dependent values, breaking spontaneously Lorentz symmetry; this is case for supersoli...

Analysis on Response of Magnetic Bearing System to External Forces Comparison between Optimal Regulator System and Independently Controlled System Takeshi MIZUNO, Toshiro HIGUCHI and Noboru AIKAWA One of the significant problems in designing a magnetic bearing control system is that there are gyroscopic couplings between two rotational motions of the suspended rotor. Because of these couplings ...

A simple and easy-to-implement method that guarantees the effective active synchronization of a chaotic gyroscopic system within a specified settling time limit is presented. A closed-form expression is given for the determination of the appropriate synchronizing control signal. The method is successfully validated through simulations for various initial conditions of the gyroscopic system.

We consider the quadratic eigenvalues problem (QEP) of gyroscopic systems ðlMþ lGþ KÞx 1⁄4 0, where M 1⁄4 M>;G 1⁄4 G> and K 1⁄4 K> 2 R n with M being positive definite. Guo [Numerical solution of a quadratic eigenvalue problem, Linear Algebra and its Applications 385 (2004) 391–406] showed that all eigenvalues of the QEP can be found by solving the maximal solution of a nonlinear matrix equatio...

Gyroscopic alignment of a fluid occurs when flow structures align with the rotation axis. This often gives rise to highly spatially anisotropic columnar that in combination complex domain boundaries pose challenges for efficient numerical discretizations and computations. We define gyroscopic polynomials be three-dimensional expressed coordinate system conforms rotational alignment. remap origi...

In this paper, the e ect of shaft rotation on its natural frequency is investigated. Considering rotary inertia and gyroscopic momentum, the fourth order di erential equation representing the exural vibration of the shaft is solved by the new analytical method. The Distributed Lumped Modeling Technique (DLMT) is applied to obtain the transfer matrix for the distributed elements using the propos...

This paper deals with finding Lagrangians for damped, linear multi-degree-of-freedom systems. New results for such systems are obtained using extensions of the results for single and two degree-of-freedom systems. The solution to the inverse problem for an n-degree-of-freedom linear gyroscopic system is obtained as a special case. Multidegree-of-freedom systems that commonly arise in linear vib...