In this study, the natural frequencies and mode shapes of beams without cracks and cracked Timoshenko beams is calculated with different boundary conditions using finite element method. The energy method is used to solve the equations. Hardness and softness matrices for Timoshenko beam without crack are obtained by solving the potential and kinetic energy equations. Then for investigation of cr...

the numerical investigation of computing the rate of radiated solar-energy requires equations as a function of solar-time according to the radiation angle of the sun (β) in the latitude 37°n and the shape. this paper implements the lagrange interpolation to obtain the equations of normal diagram of elements based on data obtained from surveying. also the method of hann-window equation used to e...

chemical hardness () and absolute electronegativity () have important applications in chemistry. inthe conceptual density functional theory (dft), these concepts has been associated with electronicenergy and the relationship with ionization energy (i) and electron affinity (a) of these concepts hasbeen given. in this study, graphical method was used in order to see the relationship with the a...

The numerical investigation of computing the rate of radiated solar-energy requires equations as a function of solar-time according to the radiation angle of the sun (β) in the latitude 37°N and the shape. This paper implements the Lagrange interpolation to obtain the equations of normal diagram of elements based on data obtained from surveying. Also the method of Hann-window equation ...

in this paper, the solution of a moving volterra-type screw dislocation in an orthotropic layer, bonded between two piezoelectric layers is obtained using complex fourier transform. the dislocation solution is then employed as strain nuclei to derive singular integral equations for a medium weakened by multiple moving cracks. these equations, which are classified as, cauchy singular equations, ...

in this article, finite difference method (fdm) is used to solve sixth-order derivatives of differential equations in buckling analysis of nanoplates due to coupled surface energy and non-local elasticity theories. the uniform temperature change is used to study thermal effect. the small scale and surface energy effects are added into the governing equations using eringen’s non-local elasticity...

Chemical hardness () and absolute electronegativity () have important applications in chemistry. Inthe conceptual Density Functional theory (DFT), these concepts has been associated with electronicenergy and the relationship with ionization energy (I) and electron affinity (A) of these concepts hasbeen given. In this study, graphical method was used in order to see the relationship with the ato...

The available studies for estimating the characteristics of hydraulic jump are only for artificial or natural beds, and very limited researches have simultaneously considered artificial and natural beds. The aim of this study is to present comprehensive equations and models for predicting the characteristics of hydraulic jump in artificial and natural rough beds with various dimensions, arrange...

effects of some thermo-physical parameters on free convective heat and mass transfer over a vertical stretching surface at lowest level of heat energy in the presence of suction is investigated. the viscosity of the fluid is assumed to vary as a linear function of temperature and thermal conductivity is assumed constant. a similarity transformation is applied to reduce the governing equations i...