In this study, nonlocal nonlinear instability and the vibration of a double carbon nanotube (CNT) system have been investigated. The Visco-Pasternak model is used to simulate the elastic medium between nanotubes, on which the effect of the spring, shear and damping of the elastic medium is considered. Both of the CNTs convey a viscose fluid and a uniform longitudinal magnetic field is applied t...

A class of nonlinear singular integral equations on the whole line is considered. This for specific representations nonlinearity and kernel arises in dynamic theory p-adic strings, mathematical pandemic spread within framework modified Diekmann-Kapper model, radiative transfer nonhomogeneous medium kinetic gases. In this paper we will investigate reveal new qualitative properties solution above...

The static pull-in instability of beam-type micro-electromechanical systems is theoretically investigated. Two engineering cases including cantilever and double cantilever micro-beam are considered. Considering the mid-plane stretching as the source of the nonlinearity in the beam behavior, a nonlinear size-dependent Euler-Bernoulli beam model is used based on a modified couple stress theory, c...

In the present study, nonlinear vibration of coupled carbon nanotubes (CNTs) in presence of surface effect is investigated based on nonlocal Euler-Bernoulli beam (EBB) theory. CNTs are embedded in a visco-elastic medium and placed in the uniform longitudinal magnetic field. Using von Kármán geometric nonlinearity and Hamilton’s principle, the nonlinear higher order governing equations are deriv...

A theory is presented for the dispersion relations of the nonlinear phonon-polaritons arising when phonons are coupled to the electromagnetic waves in multilayered structures of nonlinear materials. The calculations are applied to a multilayered structure consisting of a thin film surrounded by semi-infinite bounding media where each layer may have a frequency dependent dielectric function and ...

Objective. The purpose of the study is to substantiate need take into account geometric and physical nonlinearities in large-span membrane-pneumatic systems. Method. based on application parameter variation method; method successive loadings; iterative increments using third Euler-Cauchy numerical procedure or Runge-Kutta a higher order accuracy. Result. It has been established that non-lineari...

For classical discrete systems under constant composition, we re-examine how linear-nonlinear boundary in canonical ensemble, connecting a set of potential energy surface and that microscopic configuration thermodynamic equilibrium, is characterized by underlying lattice, from tropical geometry. We here show applying suitable limit multiple coordinate transform to time evolution dynamical syste...

A rope laid on the ground with one end subjected to time-dependent forcing is proposed as a prototypical elastic dynamical contact problem, which we study analytically, numerically, and experimentally. The dynamics governed by an infinite set of linear nonlinear resonances. In limit weak bending stiffness, fundamental frequency found be independent tension. transition between radiation-less wav...

In this paper, we improve the lower bound on the maximum nonlinearity of 1resilient Boolean functions, for n even, by proposing a method of constructing this class of functions attaining the best nonlinearity currently known. Thus for the first time, at least for small values of n, the upper bound on nonlinearity can be reached in a deterministic manner in difference to some heuristic search me...