• Advances in nano research
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• 제13권5호
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• pp.427-435
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• 2022

Static stability behaviors of annular sandwich plates constructed from two layers of particle-reinforced nanocomposites have been investigated in the present article. The type of nanoscale particles has been considered to be graphene oxide powders (GOPs). The particles are assumed to have uniform and graded dispersions inside the matrix and the material properties have been defined according to Halpin-Tsai micromechanical model. The core layer is assumed to have honeycomb configuration. Annular plate has been formulated according to thin shell assumptions considering geometrical nonlinearities. After solving the governing equations via Galerkin's technique, it is showed that the post-buckling curves of annular sandwich plates rely on the core wall thickness, amount of GOP particles, sector radius, and thickness of layers.

• International Journal of Computer Science & Network Security
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• 제24권1호
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• pp.17-22
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• 2024

The objective of this work is to design a low cost yet fully functional 4-DOF articulate manipulator for educational applications. The design is based on general purpose, programmable smart servo motors namely the Dynamixel Ax-12. The mechanism for motion was developed by formulating the equations of kinematics and subsequent solutions for joint space variables. The trajectory of end-effector in joint variable space was determined by interpolation of a 3rd order polynomial. The solutions were verified through computer simulations and ultimately implemented on the hardware. Owing to the feedback from the built-in sensors, it is possible to correct the positioning error due to loading effects. The proposed solution offers an efficient and cost-effective platform to study the trajectory planning as well as dynamics of the manipulator.

• Nonlinear Functional Analysis and Applications
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• 제28권4호
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• pp.1017-1034
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• 2023

In this paper, we work two different problems. First, we investigate a new class of fractional differential equations involving Caputo sequential derivative with some (e₁, e₂, θ)-periodic conditions. The existence and uniqueness of solutions are proven. The stability of solutions is also discussed. The second part includes studying traveling wave solutions of a conformable fractional Korteweg-de Vries-Burger (KdV Burger) equation through the Tanh method. Graphs of some of the waves are plotted and discussed, and a conclusion follows.

• Nonlinear Functional Analysis and Applications
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• 제29권2호
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• pp.435-450
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• 2024

This study depends on the modified conformable fractional derivative definition to generalize and proves some theorems of the classical power series into the fractional power series. Furthermore, a comprehensive formulation of the generalized Taylor's series is derived within this context. As a result, a new technique is introduced for the fractional power series. The efficacy of this new technique has been substantiated in solving some fractional differential equations.

• Advances in nano research
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• 제16권6호
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• pp.565-577
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• 2024

Vibration investigation of fluid-filled functionally graded cylindrical shells with ring supports is studied here. Shell motion equations are framed first order shell theory due to Sander. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. Employment of the Rayleigh-Ritz procedure gives birth to the shell frequency equation. Use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Langrange energy functional is converted into a set of three partial differential equations. A cylindrical shell is immersed in a fluid which is a non-viscous one. These shells are stiffened by rings in the tangential direction. For isotropic materials, the physical properties are same everywhere where the laminated and functionally graded materials, they vary from point to point. Here the shell material has been taken as functionally graded material. After these, ring supports are located at various positions along the axial direction round the shell circumferential direction. The influence of the ring supports is investigated at various positions. Effect of ring supports with empty and fluid-filled shell is presented using the Rayleigh - Ritz method with simply supported condition. The frequency behavior is investigated with empty and fluid-filled cylindrical shell with ring supports versus circumferential wave number and axial wave number. Also the variations have been plotted against the locations of ring supports for length-to-radius and height-to-radius ratio. Moreover, frequency pattern is found for the various position of ring supports for empty and fluid-filled cylindrical shell. The frequency first increases and gain maximum value in the midway of the shell length and then lowers down. It is found that due to inducting the fluid term frequency result down than that of empty cylinder. It is also exhibited that the effect of frequencies is investigated by varying the surfaces with stainless steel and nickel as a constituent material. To generate the fundamental natural frequencies and for better accuracy and effectiveness, the computer software MATLAB is used.

• Preventive Nutrition and Food Science
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• 제14권2호
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• pp.142-147
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• 2009

In this study, the selenium (Se) accumulations of soybean sprouts and mungbean sprouts treated with various concentrations of Se-solutions were evaluated, as part of a broader effort to produce Se-enriched variants of the plants. Four levels of sodium selenate ($Na_{2}SeO_{4}$)-dissolved solutions (i.e. 0, T0; 6, T1; 60, T2; and $600{\mu}g/mL$, T3) were prepared and sprayed onto the plants during cultivation. The effect of different spraying periods on Se accumulation was also assessed by watering plant groups once a day for periods of one, two, or three days. Se solution remaining on the surfaces of the plants was washed out by spraying with distilled water on the final day of cultivation. However, the increase of Se accumulation in the plants was found to depend on both Se-concentration and watering period, and the soybean sprouts were determined to accumulate Se more effectively than the mungbean sprouts. Additionally, with regard to Se accumulation in the plants, the period of application of Se solution was determined to be more important than the concentration of the Se solution applied. The averaged total levels of Se-enrichment in whole soybean sprouts at T0, T1, T2, and T3 were 0.26, 65.86, 179.62, and $525.12{\mu}g/dry$ matter (DM) g, respectively, and the relative equations relating Se enrichment in soybean sprouts (Y) against watering days (X) were Y=32.505X-36.17 (T1), Y=88.46X-92.04 (T2), and Y=251.11X-254.9(T3). The averaged total levels of Se-enrichment in the whole mungbean sprouts at T1, T2, and T3 group were 0.05, 3.64, and $101.43{\mu}g/DM$ g, respectively, and the relative equations relating Se enrichment (Y) to watering days (X) for mungbean sprouts were Y=1.67X-1.3467 at T1 and Y=48.035X-46.907 at T2. The results of this study suggest that soybean sprouts and mungbean sprouts enriched with bioavailable Se can be produced on a large scale by Se supplementation, allowing for the development of healthy functional foods such as Se-enriched mungbean sprout soups and salads, Se-enriched functional drink and food additives, and selenium tablets to promote health.

• 한국의류산업학회지
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• 제14권4호
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• pp.588-596
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• 2012

This research was intended to design an experimental girdle with thermal insulation function for adult women in their 20s. The design of the experimental girdle was based on the pattern of commercially available girdle. The final pattern of the experimental girdle was established according to the drawing equations determined based on the result of appearance evaluation. The equations were (waist circumference${\times}0.88$)/2 for waist circumference, (hip circumference${\times}0.77$)/2 for hip circumference, and (thigh circumference${\times}0.85$) for thigh circumference. In order to develop a heating device, the most effective fabric heater was adopted based on the experiments about the number of caron fibers, heater size and attachment site. Three heaters-one with a size of $14.5{\times}9.5$ cm, and the other two with the size of $8.0{\times}15.0$ cm-were attached to the areas corresponding to the lower abdomen and the hip, 5 cm below the waist. A heater was developed by connecting these heaters to a controller, 2 batteries (7.4 V 2000 mAh lithium polymer batteries) and a switch (for mode conversion between high/medium/low temperatures). The heater was integrated into the inside of the girdle, so that attachment and detachment were possible without the change of appearance. The tentative configuration plan was proposed for the development of a functional smart girdle with an excellent thermal insulation effect.

• 전자공학회논문지SC
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• 제39권2호
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• pp.123-131
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• 2002

본 논문에서는 전류모드 CMOS를 통한 GF(3/sup ｍ/)상의 표준기저 승산회로를 제안하였다. 먼저, GF(3)연산을 위해 필요한 가산 및 승산을 진리표를 통해 정의하고 이를 CMOS회로로 설계하였다. GF(3/sup ｍ/)상의 임의의 두 원소들간의 승산의 전개방식을 수식을 통해 보였으며, 정의된 3치 기본연산자를 조합하여 GF(3/sup ｍ/) 승산회로를 설계하였다. 제안된 수식과 회로를 m에 대하여 일반화하였고, 그 중 m=3에 대한 설계의 예를 보였다. 본 논문에서 제안된 승산회로는 그 구성이 블록의 형태로 이루어지므로 m에 대한 확장이 용이하며, VLSI에 유리하다. 또한 회로내부에 메모리소자를 사용하지 않고, 연산디지트들이 병렬로 연산되므로 빠른 연산이 가능하다. 제안된 회로의 논리연산동작을 시뮬레이션을 통해 검증하였다.

• Structural Engineering and Mechanics
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• 제28권2호
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• pp.129-152
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• 2008

This paper considers the solution of the stochastic differential equations (SDEs) with random operator and/or random excitation using the spectral SFEM. The random system parameters (involved in the operator) and the random excitations are modeled as second order stochastic processes defined only by their means and covariance functions. All random fields dealt with in this paper are continuous and do not have known explicit forms dependent on the spatial dimension. This fact makes the usage of the finite element (FE) analysis be difficult. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used to represent these processes to overcome this difficulty. Then, a spectral approximation for the stochastic response (solution) of the SDE is obtained based on the implementation of the concept of generalized inverse defined by the Neumann expansion. This leads to an explicit expression for the solution process as a multivariate polynomial functional of a set of uncorrelated random variables that enables us to compute the statistical moments of the solution vector. To check the validity of this method, two applications are introduced which are, randomly loaded simply supported reinforced concrete beam and reinforced concrete cantilever beam with random bending rigidity. Finally, a more general application, randomly loaded simply supported reinforced concrete beam with random bending rigidity, is presented to illustrate the method.

• 한국멀티미디어학회논문지
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• 제3권4호
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• pp.380-388
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• 2000

변위량을 계산하여 영상 쌍의 대응점을 추출하는 방법중에서 대표적인 Hom & Schunck 수법이 있고, 이는 미분법을 기초하기 때문에 변위가 큰 변위량 추정을 위하여는 적당치 않다. 본 논문에서는 이러한 종래의 수법으로는 계측이 곤란하였던 이동량이 큰 변위의 변위량을 추정할 수 있는 직교 함수 전개법을 제안한다. 종래의 Horn & Schunck 수법에 의한 변위량은 국소적처리를 출발점으로 하는bottom-up수법으로 구하였으나, 직교 함수 전개법에서는 이와는 반대로 영상 전체의 움직임을 직교함수의 저차 모드부터 순차 전개하는 top-down수법을 이용한다. 직교 함수 전개법을 이용하여 변위량을 구하는 방법은 명도의 적분치 불변의 구속 조건에 관한 도함수를 이용하는 투영법에 의한 반복 계산으로 얻어진다. 마지막으로 구하여진 변위량과 제1원영상으로부터 제2의 영상을 합성하고, 합성된 영상과 제2의 원영상과 NRMS오차와 상관값을 비교하여 그 유효성을 보인다.