Classically, large-scale forced turbulence is characterized by a transfer of energy from large to small scales via nonlinear interactions. We have investigated the changes in this energy transfer process in broadband forced turbulence where an additional perturbation of flow at smaller scales is introduced. The modulation of the energy dynamics via the introduction of forcing at smaller scales ...

In this paper, a comparison is made between direct and indirect perturbation approaches to solve the non-linear vibration equations of a piezoelectrically actuated cantilever microbeam. In this comparison, the equation of motion is considered according to Euler-Bernoulli theory with considering the non-linear geometric and inertia terms resulted from shortening effect. In the direct perturbatio...

In this paper, we study a complete second-order integro-differential operator equation in Hilbert space. The difference-type kernel of an integral perturbation is holomorphic semigroup bordered by unbounded operators. asymptotic behavior solutions studied. Asymptotic formulas for are proved the case when right-hand side close to almost periodic function. obtained applied problem forced longitud...

A high-resolution simulation of the 8 May 2003 Oklahoma tornadic supercell is analyzed to determine the origin of internal outflow surges within the low-level cold pool. The analyzed simulation has 50-m horizontal grid spacing and is quadruply nested within larger, lower-resolution domains that were initialized via threedimensional variational data assimilation (3DVAR) of radar and other observ...

We consider the dynamics of small perturbations of stable two-frequency quasiperiodic orbits on an attracting torus in the quasiperiodically forced Hénon map. Such dynamics consists in an exponential decay of the radial component and in a complex behaviour of the angle component. This behaviour may be twoor three-frequency quasiperiodicity, or it may be irregular. In the latter case a graphic i...

This article theoretically studies the conditions for existence of longitudinal or flexural waves in nonlinear, isotropic rods. It has been known that the existence of guided waves at nonlinearity induced double harmonics is subject to constraints which arise from the potential of power flux transfer from the primary generating mode to the generated higher order modes. The knowledge about the b...

A statistical investigation of the effects of random mistuning on the forced response of nearly cyclic assemblies made of mono-coupled, single-mode component systems (blades) is presented. Various probabilistic methods of analysis are applied to generate the statistics of the forced response: an analytical first-order statistical perturbation method, a purely numerical Monte Carlo simulation, a...

We consider parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low. We show that, provided the frequency is sufficiently high, Kolmogorov-Arnold-Moser (KAM) theorem may be applied even when the forcing amplitude is far away from the perturbation regime. A similar result ...