This paper discusses static and dynamic response of nanoplate resting on an orthotropic visco-Pasternak foundation based on Eringen’s nonlocal theory. Graphene sheet modeled as nanoplate which is assumed to be orthotropic and viscoelastic. By considering the Mindlin plate theory and viscoelastic Kelvin-Voigt model, equations of motion are derived using Hamilton’s principle which are then solved...

Systems of differential-algebraic equations (DAEs) are generated routinely by simulation and modeling environments such as MODELICA and MAPLESIM. Before a simulation starts and a numerical solution method is applied, some kind of structural analysis is performed to determine the structure and the index of a DAE. Structural analysis methods serve as a necessary preprocessing stage, and among the...

in this study we produced a new method for solving regular dierential equations with step size h and taylor series. this method analyzes a regular dierential equation with initial values and step size h. this types of equations include quadratic and cubic homogenous equations with constant coecients and cubic and second- level equations.

in this paper, modified simple equation method has been applied to ob-tain generalized solutions of burgers, huxley equations and combined forms of these equations. the new exact solutions of these equations have been obtained. it has been shown that the proposed method provides a very effective, and powerful mathematical tool for solving nonlinear partial differential equations.

geothermobarometry equations are based on thermodynamic principles and appear in single or multi-variant functions. the number of variants for a specific composition or reaction usually is reduced into 2 involving temperature (t) and pressure (p). since most of planned equations have two passive or variant p and t, using these equations should be with special care. it is very effective to use g...

A computational method for flutter simulation of turbomachinery cascades is presented. The flow through multiple blade passages is calculated using a time-domain approach with coupled aerodynamic and structural models. The unsteady Euler/Navier-Stokes equations are solved in 2D using a second-order implicit scheme with dual time-stepping and a multigrid method. A structural model for the blades...

to start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ode. then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. it is required to state that the infinite series method is a well-organized method for obtaining exact s...

this paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order volterra-fredholm integro-differential equation(vfides) and nonlinear fractional order integro-differential equations. our tools for this aims is operational matrices of integration and fractional integration. by this method the given problems reduce to solve a syst...

Differential-algebraic equation systems (DAEs) are generated routinely by simulation and modeling environments. Before a simulation starts and a numerical method is applied, some kind of structural analysis (SA) is used to determine which equations to be differentiated, and how many times. Both Pantelides’s algorithm and Pryce’s Σ -method are equivalent: if one of them finds correct structural ...

recently a method has been developed to decouple the equations of motion for multi-rigid body systems. in this paper, the method is first studied, then the equations of motion for a planar two degree-of-freedom robot with flexible joints are carried out using lagaranges equations and kanes equation with congruency transformations. finally, the results obtained from both methods are throroughly ...