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...

In the present study, the finite element method is developed for the static analysis of nano-beams under the Winkler foundation and the uniform load. The small scale effect along with Eringen's nonlocal elasticity theory is taken into account. The governing equations are derived based on the minimum potential energy principle. Galerkin weighted residual method is used to obtain the finite eleme...

Suction caisson foundations provide options for new foundation systems offshore structures, particularly wind turbine applications. During the design process, it is necessary to make reliable predictions of stiffness foundation, since this has an important influence on dynamic performance overall support structure. The characteristics structure, in turn, its fatigue life. This paper describes a...

in this study, application of adaptive neuro-fuzzy inference system (anfis) in forecasting three perspectives (1, 2, and 4 years) ahead of iran’s agricultural products export was compared with arima as the most common econometrics linear forecasting method. for this purpose, iran’s agricultural products export revenues related to 1959-2010, and forecast performance measures such as r2, mad, and...

In this paper, static analysis of functionally graded annular plate resting on elastic foundation with various boundary conditions is carried out by using a semi-‍analytical approach‍ (SSM‍-DQM). The differential governing equations are presented based on the three dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially thro...

A critical discussion on non-linear steady-state concentration profiles for hydrogen diffusion in elastic metallic membranes, proposed by other authors, is provided based on mathematical analysis and numerical simulation. It is shown that the non-linear distribution is non-existent and the linear form is the only solution for the ideal solid solution phase.  2000 Elsevier Science S.A. All righ...

Elastic rods are thin flexible objects typically undergoing large non-linear deformations that cannot be modeled with linear methods. They are used in a number of research fields, e. g., to represent hair or ropes in animations, or catheters or needles in medical simulations. In this paper, we propose a deformation model for inextensible elastic rods. The method of Lagrange multipliers is emplo...

this paper is concerned with the surface and small scale effects on transverse vibration of a viscoelastic single-layered graphene sheet (slgs) subjected to an in-plane magnetic field. the slgs is surrounded by an elastic medium which is simulated as visco-pasternak foundation. in order to investigate the small scale effects, the nonlocal elasticity theory is employed due to its simplicity and ...

The paper considers a rectangular orthotropic insulated slab on an elastic foundation, modeled by homogeneous isotropic layer rigidly connected to non-deformable foundation. Elastic and nonlinear calculations of this plate opening. calculation flexible foundation in formulation is carried out iteratively the method B. N. Zhemochkin. To determine coefficients canonical equations free terms, mixe...