We calculate the exceptional points of eigenvalues several parameter-dependent Hamiltonian operators mathematical and physical interest. show that calculation is greatly facilitated by application discriminant to secular determinant. In this way, problem reduces finding roots a polynomial function just one variable, parameter in operator. As illustrative examples, we consider particle one-dimen...

In order to harness the kinetic energy of marine currents, we propose a novel ocean-current turbine with a horizontal axis. The turbine can be moored to the seabed and function similarly to kites in a water flow. To operate such turbines in a marine current, the resulting rotor torque needs to be canceled. Therefore, the proposed turbine is designed with a float at its top and a counterweight a...

This paper gives a method to construct rigid spaces, which is similar to the method used to construct toric schemes.

The nonlinear behavior of a rigid rotor supported by herringbone grooved journal gas bearings (HGJBs) was investigated in this study. two-dimensional narrow groove theory (2D-NGT) adopted to model the HGJBs. A set integrated rotor-bearing state equations were built coupling motion and bearing Reynolds equation. An implicit integrator with adaptive time step method used solve those continuously....

The application of magnetic bearings has become more frequent during the last 20 years and represents a significant aspect improvements in construction machines with rotary motion. With advancement technology, number applications which have found their is increasing. In this paper, it shown how effect forces can annul negative influence unbalance, suddenly appeared rotor supported active bearin...

Abstract The locomotive traction motor is described as a rotor-bearing system coupling the kinetic equations of shaft and its support bearings with determination their elastic deformations in this study. Under effect excitations induced by dynamic rotor eccentric distance time-varying mesh stiffness, structure are formulated vibration environment locomotive. In addition, nonlinear contact force...

Tensegrity frameworks are defined on a set of points in Rd and consist of bars, cables, and struts, which provide upper and/or lower bounds for the distance between their endpoints. The graph of the framework, in which edges are labeled as bars, cables, and struts, is called a tensegrity graph. It is said to be strongly rigid in Rd if every generic realization in Rd as a tensegrity framework is...