Two kinds of numerical approaches able to predict the dynamic response periodic structures and metamaterials are presented. Both them model reduction techniques which can be used obtain functions at a low computational cost. The first kind employs wave finite element (WFE) method for modeling 1D made up complex substructures, e.g., 2D cells arbitrary shapes. Resonant particular cases where subs...

In many cases of heavy earthquakes, liquefaction has resulted in serious damages. Existing anisotropy in soil layers results  in some difficulties to realize the reason for these phenomena. Loose sand lenses buried in fine soils are one of the cases which may result in these problems and as a weak point during the earthquake can cause this phenomenon. In this paper, using FLAC 2D software, doub...

existence of cracks in industrial structures is one of the important causes of their failure, especially when they are subjected to important axial compressive forces that might lead to buckling. therefore, it must be considered in stress analysis and designing and loading of such structures. in this paper, the buckling and post-buckling behaviors of stainless-steel cracked plates under axial c...

abstract: a continuously variable transmission (cvt) is a transmission which may change step less by way of an infinite variety of effective gear ratios between maximum and minimum values. this contrasts with different mechanical transmissions that solely permit just a few different distinct gear ratios to be selected. continuously variable transmissions (cvts) are mechanical devices that allow...

design and optimization of a single crystalline silicon (c-si) solar cell is performed to achieve the maximum light conversion efficiency. various parameters such as doping concentration and thicknesses, and geometrical dimension of surface pyramids are studied. the inverted surface pyramid is used to increase the efficiency of the solar cell, and engineered oxide layer is used as the passivati...

The Bertrand paradox question is: “Consider a unit-radius circle for which the length of a side of an inscribed equilateral triangle equals 3 . Determine the probability that the length of a ‘random’ chord of a unit-radius circle has length greater than 3 .” Bertrand derived three different ‘correct’ answers, the correctness depending on interpretation of the word, random. Here we employ geomet...

Applied science and mechanics need mathematical methods for 2D processes modeling using the set of data points. A novel method of Hurwitz-Radon Matrices (MHR) is used in 2D curve modeling. Proposed method is based on the family of Hurwitz-Radon matrices which possess columns composed of orthogonal vectors. Two-dimensional process is modeled via different functions: sine, cosine, tangent, logari...

Applied science and mechanics need mathematical methods for 2D processes modeling using the set of data points. A novel method of Hurwitz-Radon Matrices (MHR) is used in 2D curve modeling. Proposed method is based on the family of Hurwitz-Radon matrices which possess columns composed of orthogonal vectors. Two-dimensional process is modeled via different functions: sine, cosine, tangent, logari...