Abstract An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives was obtained Yang and Srivastava (Commun Nonlinear Sci Numer Simul 29(1–3):499–504, 2015). In this paper, we obtain the numerical forced problems employing operational matrix integration Bernoulli orthonormal polynomials. The is determined wi...

Effects of fast-propagating water waves on the overlying wind are investigated using simulation and theoretical analysis. By performing a large eddy (LES) turbulent over with high wave age, we observe that perturbation to velocity pressure by waves, or wave-induced airflow, is mainly induced vertical movement surface. We perform scaling analysis show stress effects fast airflow negligible. More...

in this paper, the homotopy perturbation method (hpm) and elzaki transform is employed to obtain the approximate analytical solution of the sine gorden and the klein gorden equations. the nonlinear terms can be handled by the use of homotopy perturbation method. the proposed homotopy perturbation method is applied to reformulate the first and the second order initial value problems which leads ...

Spirals have been studied from a dynamical system perspective starting with Barkley’s seminal papers linking a wide class of spiral wave dynamics to the Euclidean symmetry of the excitable media in which they are observed. However, in order to explain certain nonEuclidean phenomena, such as anchoring and epicyclic drifting, LeBlanc andWulff introduced a single translational symmetry-breaking pe...

in this paper, the nonlinear free vibrations of thin symmetric and non-symmetric cross-ply composite plates subjected to biaxial initial stresses are investigated. because of their excellent properties such as specific strength and specific stiffness, composite plates have wide applications in aerospace and mechanical structures. based on von-karman's strain-displacement relations and using gal...

Unfolding of proteins by forced stretching with atomic force microscopy or laser tweezer experiments complements more classical techniques using chemical denaturants or temperature. Forced unfolding is of particular interest for proteins that are under mechanical stress in their biological function. For beta-sandwich proteins (a fibronectin type III and an immunoglobulin domain), both of which ...

Epimetheus, a small moon of Saturn, has a rotational libration (an oscillation about synchronous rotation) of 5.9◦±1.2◦, placing Epimetheus in the company of Earth’s Moon and Mars’ Phobos as the only natural satellites for which forced rotational libration has been detected. The forced libration is caused by the satellite’s slightly eccentric orbit and non-spherical shape. Detection of a moon’s...

The homotopy perturbation method is a powerful device for solving a wide variety of problems arising in many scientific applications. In this paper, we investigate several integral equations by using T-stability of the Homotopy perturbation method investigates for solving integral equations. Some illustrative examples are presented to show that the Homotopy perturbation method is T-stable for s...

A theoretical study is presented in this paper to investigate the conjugate heat transfer across a vertical ®nite wall separating two forced and free convection ̄ows at different temperatures. It is assumed that the heat conduction in the wall is only in the transversal direction. We also assume that countercurrent boundary layers are formed on the both sides of the wall. The governing equation...

The discovery of the chaotic motion planets in Solar System dates back more than 30 years. Still, no analytical theory has satisfactorily addressed origin chaos so far. Implementing canonical perturbation computer algebra system TRIP, we systematically retrieve secular resonances at work along orbital solution a forced long-term dynamics inner planets. We compare time statistic their half-width...