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We give an exhaustive, non-perturbative classification of exact travelling-wave solutions of a perturbed sine-Gordon equation (on the real line or on the circle) which is used to describe the Josephson effect in the theory of superconductors and other remarkable physical phenomena. The perturbation of the equation consists of a constant forcing term and a linear dissipative term. On the real line...
The common practice in industry is to perform flutter analyses considering the generalized stiffness and mass matrices obtained from finite element method (FEM) and aerodynamic generalized force matrices obtained from a panel method, as the doublet lattice method. These analyses are often re-performed if significant differences are found in structural frequencies and damping ratios determined from...
Classical design optimization procedures rely on the application of optimization algorithms upon system simulations. These algorithms need a large number of samples to converge on the optimal point. Hence design optimization needs large simulation time since each simulation has to be performed many times. In this paper an original and useful methodology to study and optimize mechanical systems is...
This paper tries to find the reasons of differences between results from semiactive suspension simulations and from real measurements. Simulations of semiactive algorithms which have already been published in many scientific papers have showned a great potential for improvement of the suspension quality. However, experiments with suspension controlled by semiactive algorithms which are supposed to...
A boundary layer analysis is performed to study the effects of thermal radiation on the flow of an incompressible viscous electrically conducting fluid over an unsteady stretching sheet embedded in a porous medium in the presence of heat source or sink. The governing boundary layer equations are transformed to ordinary differential equations by using similarity transformation and solved numerically...
The aim of this work is to study the size-dependent elastic interaction of a screw dislocation with an elastic isotropic layered semi-infinite matrix using molecular dynamics analysis. The analytic solutions of complex functions of a screw dislocation in the matrix and in the thin layer are solved by means of applying complex potential approach in conjunction with the techniques of the image method...
The use of bistable laminates is a potential approach to realize broadband piezoelectric based energy harvesting systems. In this paper the dynamic response of a piezoelectric material attached to a bistable laminate plate is examined based on the experimental generated voltage time series. The system was subjected to harmonic excitations and exhibited single-well and snap-through vibrations of both...
The three-phase-lag model and Green–Naghdi theory without energy dissipation are employed to study the deformation of a two-temperature generalized-magneto thermoelastic medium with an internal heat source that is moving with a constant speed under the hydrostatic initial stress and the rotation. Normal mode analysis is used to obtain the analytical expressions of the displacement components, force...
In this paper, a new theoretical framework is presented for modeling non-locality in shear deformable beams. The driving idea is to represent non-local effects as long-range volume forces and moments, exchanged by non-adjacent beam segments as a result of their relative motion described in terms of pure deformation modes of the beam. The use of these generalized measures of relative motion allows...
In the present work, a fractional order Lord & Shulman model of generalized thermoelasticity with voids subjected to a continuous heat sources in a plane area has been established using the Caputo fractional derivative and applied to solve a problem of determining the distributions of the temperature field, the change in volume fraction field, the deformation and the stress...
The mixed convection boundary layer flow of a micropolar nanofluid near a stagnation point along a vertical stretching sheet is investigated. The transformed nonlinear system of ordinary differential equations are solved using the shooting technique with Runge-Kutta Fehlberg method. Comparisons between present and previous results in the absence of nanofluid are tabulated. Several flow velocity, temperature...
We introduce a new analytical method, which allows to find chaotic regimes in non-smooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction element is considered. The corresponding mathematical model is being studied. We show that the considered dynamical system is a skew product over a piecewise smooth mapping of a segment (the so-called base map). For this base...
In the present study, a functionally graded cylindrical shell (FGM) with imperfectly surface bounded functionally graded piezoelectric material (FGPM) subjected to an axisymmetric hygrothermo-electro-mechanical loading and placed in a constant magnetic field is considered. The shell is simply supported and could be rested on an elastic foundation. The material properties of FGM and FGPM are assumed...
The main objective in this paper is to develop an analytical solution of burst pressure for pipe elbow containing the effect of yield to tensile strength ( Y / T ) ratio. By non-linear regression analysis, available experimental data between the strain hardening exponent and Y / T ratio were fitted to mathematical models with high values of correlation...
Thermal dispersion effects on fully developed forced convection inside a porous-saturated parallel plates duct with uniform heat flux at the wall are investigated on the basis of the Brinkman model. Having known the velocity distribution, the energy equation is solved using asymptotic techniques for the limiting case when thermal conductivity, as a result of thermal dispersion, weakly changes with...
The prime aim of the present study is to present analytical formulations and solutions for the stability analysis of heterogeneous orthotropic truncated conical shell subjected to external (lateral and hydrostatic) pressures with mixed boundary conditions using the Donnell shell theory. The mixed boundary conditions are as follows: at one end of FGM truncated conical shell is a sleeve that prevents...
This paper is concern with the investigation of buoyancy-driven hydromagnetic mixed convection stagnation-point flow of nanofluids over a stretching sheet in the presence of induced magnetic field. Three types of nanofluids namely, Cu–water, $$\hbox {Al}_2\hbox {O}_3$$ Al 2 O 3 –water, $$\hbox {TiO}_2$$ TiO 2 –water are considered. The resulting system is solved numerically...
The present paper is aimed to model and study the characteristics of various reflected waves in a homogeneous isotropic piezoelectric thermo-microstretch viscoelastic solid within the context of theory of thermoelasticity without energy dissipation. It is shown that there exists three sets of coupled longitudinal and two sets of coupled transverse waves with different speeds in a two-dimensional model...
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