in this paper, surface and piezoelectric effects on the vibration behavior of nanowires (nws) are investigated by using a timoshenko beam model. the electric field equations and the governing equations of motion for the piezoelectric nws are derived with the consideration of surface effects. by the exact solution of the governing equations, an expression for the natural frequencies of nws with ...

Discovering the governing equations of evolving systems from available observations is essential and challenging. In this paper, we consider a different scenario: discovering streaming data. Current methods struggle to discover differential with considering measurements as whole, leading failure handle task. We propose an online modeling method capable handling samples one by sequentially data ...

in this paper, a neural network model reference adaptive system speed observer is designed, which can be used in speed control of linear induction motors (lims). dynamical equations of lim have been considered accurate. in other words, the end effect and the electrical losses of the motor have been included in the motor equivalent circuit. then equations of the reference model and adaptive mode...

A closure model for turbulent flows is developed based on a dynamical system theory. An appropriately discretized formulation of the governing equations considered this process. The key ingredient an approximation system’s attractor, where all trajectories in phase space are confined. This approximate inertial manifold approach provides path to track lower-dimensional subspace. Unlike conventio...

A nonlinear energy sink is designed to control the oscillations of a 2 degrees-of-freedom pendulum under following types excitations: horizontal and vertical base displacements initial energy. Coupled governing system equations are treated with multiple-scale methods different assumptions depending on applied loads. Fast slow dynamics revealed leading detection possible dynamical regimes. The c...

A new mathematical model is developed for the macroscopic behaviour of a porous, linear elastic solid, saturated with a slowly flowing incompressible, viscous fluid, with surface accretion of the solid phase. The derivation uses a formal two-scale asymptotic expansion to exploit the wellseparated length scales of the material: the pores are small compared to the macroscale, with a spatially per...

By the nonstandard analysis theory of turbulence, the governing equations of compressible turbulence are given. The equations can hold at non-uniform points, in fact, are new kind of equations. There are three choices. In the choice one, the second-order infinitesimal quantities are neglected, the closed equations about the point(monad)-average quantities are obtained. In other two choices, the...

Keywords: Fractional calculus Anomalous diffusion Continuous time random walk Central limit theory Operator stable law a b s t r a c t In a continuous time random walk (CTRW), a random waiting time precedes each random jump. The CTRW is coupled if the waiting time and the subsequent jump are dependent random variables. The CTRW is used in physics to model diffusing particles. Its scaling limit ...