Purpose. Taking into account the production and commissioning of modern high-speed rolling stock, authors are aimed to analyze currently created mathematical models describing dynamic behavior air spring, systematize them consider advantages disadvantages each model type. Methodology. For analysis, a comparative chronological method was used, which makes it possible trace development several po...

in this article, the sliding mode control of frequency load control of power systems is studied. the study areaconsists of a system of water and heat. first, a mathematical model of the proposed system disturbances ismade and then sliding control mode for frequency load control is provided. by the system simulation andsliding mode control, it can be shown that the damping of oscillations is wel...

In this work we consider the Von Kármán system with frictional damping acting on the displacement and using the Method of Nakao we prove the exponential decay of the solution. The numerical scheme is presented for calculate the solution and to verify the long-time decay energy.

We prove a complexity dichotomy theorem for Holant problems over an arbitrary set of complex-valued symmetric constraint functions F on Boolean variables. This extends and unifies all previous dichotomies for Holant problems on symmetric constraint functions (taking values without a finite modulus). We define and characterize all symmetric vanishing signatures. They turned out to be essential t...

To facilitate the damping matching of dampers for vehicle passive suspensions, this paper proposes an analytical matching method of the optimal piecewise linear damping characteristics curve. Based on the vehicle vibration model, taking the suspension dynamic deflection as the constraint, by the vibration acceleration and the wheel dynamic load, an objective function about the relative damping ...

Most of the calcium in the body is stored in bone. The rest is stored elsewhere, and calcium signalling is one of the most important mechanisms of information propagation in the body. Yet, many questions remain open. In this work, we initially consider the mathematical model proposed in Atri et al. [1]. Omitting diffusion, the model is a system of two nonlinear ordinary differential equations (...

It is shown that among the various damping mechanisms that are generally encountered in a mechanical structure, only the “viscous component” actually accounts for energy loss. The remaining portion of the damping force is due to non-linearities, which do not dissipate energy. Consequently, a linear model of a vibratory mechanical system involves only viscous damping, although the damping factor...