In this paper, we consider a scalar wave equation on a thin, laminated, threedimensional plate. We show that if the plate is sufficiently thin, then there is a hierarchy of two-dimensional equations whose dynamics model the dynamics of the full plate, each of which successively lengthens the time interval over which the approximation holds.

We suggest a method of fitting of the zero-range model of the tectonic plate under the boundary stress based on comparison of the theoretical formulae for the corresponding eigenfunctions/eigenvalues with the results of instrumental measurements of frequency and the shape and the shape of the relevant seismo-gravitational modes in the remoted zone. Comparison of the data of the instrumental mea...

We study a new class of $H_v$-structures called Fundamentally Very Thin. This is an extension of the well known class of the Very Thin hyperstructures. We present applications of these hyperstructures.

In this paper, a Green’s function is developed for bending analysis of micro plates under an asymmetric load. In order to consider the length scale effect, the modified couple stress theory is used. This theory can accurately predict the behavior of micro structures. A thin micro plate is considered and therefore the classical plate theory is utilized. The size dependent governing equilibrium e...

We repeat our previous calculation about the effect of the spin-orbit-induced magnetic anisotropy on the Kondo temperature in the case of S = 5/2 impurity spin which is quite different from the integer spin case as the ground state is degenerated. In this case the Kondo contribution remains finite when the sample size goes to zero and the thickness dependence in the Kondo resistivity is much mo...

Among vibration-based damage detection methods, one of the effective approaches for localization is modal strain energy method. In this paper, method developed in plate-like structures with various boundary conditions. Firstly, theory briefly outlined. order to overcome limitation measuring points, a central difference newly employed compute partial differential terms formula. Finite element an...

A new form of thr~-dimensioM1 crystals of the 50 S ribosomal subunits from Haiobacterium m~~mortui has been obtained at 19”C, using ~iyethyle~e glycol in the presence of 1.2-1.7 M KC1 in the crystall~tion mixture. The crystals diffract X-rays to 13 A and are stable in the synehrotron radiation beam for 4-8 h. Being aggregates of thin plates, the dimensions of only two unit cell edges, 147 x 181...

In this paper the recently developed semi-analytic method to solve the free-surface wave interaction with a thin elastic plate is extended to the case of a plate of finite thickness. The method used is based on the reformulation of the differential-integral equation for this problem. The thickness of the plate is chosen such that the elastic behavior of the plate can be described by means of th...

Arc welding is an important joining process widely used in many industrial applications including production of automobile, ships structures and metal tanks. In welding process, the moving electrode causes highly non-uniform temperature distribution that leads to residual stresses and different deviations, especially buckling distortions in thin plates. In order to control the deviations and in...

the effect of welding residual stresses that was created in thin infill plate of steel plate shear wall system during constructional processes was studied in this research. residual stresses in a welded structure is the result of the non-uniform expansion and contraction and plastic deformation of the weld and surrounding base metal due to heating and cooling cycle, during welding process, this...