This paper presents a nonstationary structural spatial model that explicitly sets the data to evolve across a rectangular lattice constrained by secondorder smoothing restrictions. The model exemplifies the concept of model-based spatial smoothing and, in particular, it provides a rationale for the popular discrete thin-plate smoothing method. We show how to use a frequency-domain approach in o...

Continuous casting is used to mass produce basic metals into long, semi-finished shapes with constant cross section, which are later processed into over 800 million tons of steel, 20 million tons of aluminum, and 1 million tons of copper, nickel, and other metal products in the world each year. Cross-sections can be rectangular, for later rolling into plate or sheet, square for long products, c...

Finite difference method is used to calculate the via-plate capacitances for vias with pad. Due to the symmetric structure, the solving domain is reduced to a rectangular ρ − z region. Boundary conditions along the region are discussed. Both barrel-plate and pad-plate capacitances are studied with various geometric parameters. The results could be used as validations for possible analytical exp...

We consider here the Cauchy problem for the full system of dynamic Von KK armm an equations, which is a model for the vibrations of a nonlinear elastic plate. We prove global existence and uniqueness of nite energy solutions in the case of an innnite plate. We show then that our methods and results still hold for a rectangular plate which is simply supported or clamped at the boundary. Moreover...

In this paper, the modified couple stress theory is used to study vibration analysis of functionally graded rectangular micro-plates. Considering classical and first order plate theories, the couple governing equations of motion are obtained by using the Hamilton’s principle. Considering an assumed mode method, the accurate size dependent natural frequencies are established for simply supported...

the effect of steel plate thickness on the repair effectiveness of rc beam is presented in this paper. a total of four beams were tested, one beam repaired by cfrp with a thickness of 1.2 mm and used as a control beam, and three beams repaired by a steel plate. steel plates with a thickness of 2 mm, 3 mm, and 4 mm were used in repairing the beams. the maximum load-carrying capacity, deflection ...

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.

This paper presents the governing equations on the rectangular plate with the variation of material stiffness through their thick using higher order shear deformation theory (HSDT). The governing equations are obtained by using Hamilton's principle with regard to variation of Young's modulus in through their thick with regard sinusoidal variation of the displacement field across the thickness. ...

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 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...