• 제목/요약/키워드: general solution

검색결과 2,139건 처리시간 0.029초

Optimized design for perforated plates with quasi-square hole by grey wolf optimizer

  • Chaleshtari, Mohammad H. Bayati;Jafari, Mohammad
    • Structural Engineering and Mechanics
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    • 제63권3호
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    • pp.269-280
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    • 2017
  • One major concern that has occupied the mind of the designers is a structural failure as result of stress concentration in the geometrical discontinuities. Understanding the effective parameters contribute to stress concentration and proper selection of these parameters enables the designer get to a reliable design. In the analysis of perforated isotropic and orthotropic plates, the effective parameters on stress distribution around holes include load angle, curvature radius of the corner of the hole, hole orientation and fiber angle for orthotropic materials. This present paper tries to examine the possible effects of these parameters on stress analysis of infinite perforated plates with central quasi-square hole applying grey wolf optimizer (GWO) inspired by the particular leadership hierarchy and hunting behavior of grey wolves in nature, and also the present study tries to introduce general optimum parameters in order to achieve the minimum amount of stress concentration around this type of hole on isotropic and orthotropic plates. The advantages of grey wolf optimizer are stout, flexible, simple, and easy to be enforced. The used analytical solution is the expansion of Lekhnitskii's solution method. Lekhnitskii applied this method for the stress analysis of anisotropic plates containing circular and elliptical holes. Finite element numerical solution is employed to examine the results of present analytical solution. Results represent that by selecting the aforementioned parameters properly, fewer amounts of stress could be achieved around the hole leading to an increase in load-bearing capacity of the structure.

리튬용액침투법에 의한 내열충격성이 향상된 세라믹 제조 (Fabrication of Porcelains Having Improved Thermal Shock Resistance by a Lithium Solution Infiltration Method)

  • 나상문;이상진
    • 한국세라믹학회지
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    • 제50권2호
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    • pp.127-133
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    • 2013
  • Porcelain with high thermal shock resistance was successfully fabricated by a lithium solution infiltration method with a lithium hydroxide solution. Lithium hydroxide solutions having various lithium concentrations were infiltrated into pre-sintered porcelain bodies. The porcelain sample infiltrated by the 9 wt% lithium solution and heat treated at $1250^{\circ}C$ for 1 h showed a low thermal expansion coefficient of $1.0{\times}10^{-6}/^{\circ}C$ with excellent thermal shock resistance. The highly thermally resistant porcelain had a well-developed ${\beta}$-spodumene phase with the general phases observed in porcelain. Furthermore, the porcelain showed a denser structure of $2.41g/cm^3$ sintering density and excellent whiteness in comparison with commercial thermally resistible porcelains. The lithium hydroxide in the samples readily reacted with moisture, and liquid phase reactants were formed during the fabrication process. In the case of an excess amount of lithium in the sample body, the lithium reactants were forced to the surface and re-crystallized at the surface, leaving large pores beneath the surface. These phenomena resulted in an irregular structure in the surface area and led to cracking in samples subjected to a thermal shock test.

Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

  • Arefi, M.;Rahimi, G.H.;Khoshgoftar, M.J.
    • Smart Structures and Systems
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    • 제9권5호
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    • pp.427-439
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    • 2012
  • The present paper deals with the analytical solution of a functionally graded piezoelectric (FGP) cylinder in the magnetic field under mechanical, thermal and electrical loads. All mechanical, thermal and electrical properties except Poisson ratio can be varied continuously and gradually along the thickness direction of the cylinder based on a power function. The cylinder is assumed to be axisymmetric. Steady state heat transfer equation is solved by considering the appropriate boundary conditions. Using Maxwell electro dynamic equation and assumed magnetic field along the axis of the cylinder, Lorentz's force due to magnetic field is evaluated for non homogenous state. This force can be employed as a body force in the equilibrium equation. Equilibrium and Maxwell equations are two fundamental equations for analysis of the problem. Comprehensive solution of Maxwell equation is considered in the present paper for general states of non homogeneity. Solution of governing equations may be obtained using solution of the characteristic equation of the system. Achieved results indicate that with increasing the non homogenous index, different mechanical and electrical components present different behaviors along the thickness direction. FGP can control the distribution of the mechanical and electrical components in various structures with good precision. For intelligent properties of functionally graded piezoelectric materials, these materials can be used as an actuator, sensor or a component of piezo motor in electromechanical systems.

할당 문제의 최적 알고리즘 (The Optimal Algorithm for Assignment Problem)

  • 이상운
    • 한국컴퓨터정보학회논문지
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    • 제17권9호
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    • pp.139-147
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    • 2012
  • 본 논문에서는 할당 문제의 최적해를 간단히 찾을 수 있는 알고리즘을 제안하였다. 일반적으로 할당 문제의 최적해는 Hungarian 알고리즘으로 구한다. 제안된 알고리즘은 Hungarian 알고리즘의 4단계 수행 과정을 1단계로 단축시켰으며, 행과 열의 최소 비용만을 선택하여 비용을 감소시키는 최적화 과정을 거쳐 최적해를 구하였다. 제안된 알고리즘을 27개의 균형 할당 문제와 7개의 불균형 할당 문제에 적용한 결과 유전자 알고리즘으로 찾지 못한 최적해를 찾는데 성공하였다. 제안된 알고리즘은 Hungarian 알고리즘의 수행 복잡도 O($n^3$)을 O(n)으로 향상시켰다. 따라서 제안된 알고리즘은 Hungarian 알고리즘을 대체하여 할당 문제에 일반적으로 적용할 수 있는 알고리즘으로 널리 활용될 수 있을 것이다.

A Study on Optimal Design of Single Periodic, Multipurpose Batch Plants

  • Rhee, In-Hyoung;Cho, Dae-Chul
    • 한국산학기술학회논문지
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    • 제3권1호
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    • pp.10-19
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    • 2002
  • 본고는 다종, 소규모 회분식 공정 또는 공장을 수학적 프로그래밍 기법으로 최적 설계하는 방법에 대한 것이다. 제안된 일반 회분식 공장문제는 Papageorgaki와 Reklaitis에 의해 혼합정수비선형식(MINLP)으로 수립된 것인데, 최적해답을 보장하며 공장의 확장 등 불확실성을 고려하여 선형화 한 후(MILP) 푸는 방법론이 제시되었다. Bende식 문제분할 방식을 개조하여 몇가지 예제에 대한 풀이를 제시하였다. IBM의 OSL 최적화 패키지를 이용하였고 MILP를 직접 푸는 경우보다 계산시간을 크게 단축할 수 있었다.

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Formulation, solution and CTL software for coupled thermomechanics systems

  • Niekamp, R.;Ibrahimbegovic, A.;Matthies, H.G.
    • Coupled systems mechanics
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    • 제3권1호
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    • pp.1-25
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    • 2014
  • In this work, we present the theoretical formulation, operator split solution procedure and partitioned software development for the coupled thermomechanical systems. We consider the general case with nonlinear evolution for each sub-system (either mechanical or thermal) with dedicated time integration scheme for each sub-system. We provide the condition that guarantees the stability of such an operator split solution procedure for fully nonlinear evolution of coupled thermomechanical system. We show that the proposed solution procedure can accommodate different evolution time-scale for different sub-systems, and allow for different time steps for the corresponding integration scheme. We also show that such an approach is perfectly suitable for parallel computations. Several numerical simulations are presented in order to illustrate very satisfying performance of the proposed solution procedure and confirm the theoretical speed-up of parallel computations, which follow from the adequate choice of the time step for each sub-problem. This work confirms that one can make the most appropriate selection of the time step with respect to the characteristic time-scale, carry out the separate computations for each sub-system, and then enforce the coupling to preserve the stability of the operator split computations. The software development strategy of direct linking the (existing) codes for each sub-system via Component Template Library (CTL) is shown to be perfectly suitable for the proposed approach.

ABS 수지상의 도금층 형성을 위한 에칭 방법 연구 (Study of Etching Method for Plating Layer Formation of ABS Resin)

  • 최경수;최기덕;신현준;이상기;최순돈
    • 한국표면공학회지
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    • 제47권3호
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    • pp.128-136
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    • 2014
  • In the present study, we successfully developed an eco-friendly chemical etching solution and proper condition for plating on ABS material. The mechanism of forming Ni plating layer on ABS substrate is known as following. In general, the etching solution used for the etching process is a solution of chromic acid and sulfuric acid. The etching solution is given to the surface resulting in elution of butadiene group, so-called anchor effect. Such a rough surface can easily adsorb catalyst resulting in the increase of adhesion between ABS substrate and Ni plating layer. However a use of chromic acid is harmful to environment. It is, therefore, essential to develop a new alternative solution. In the present study, we proposed an eco-friendly etching solution composed of potassium permanganate, sulfuric acid and phosphoric acid. This solution was testified to observe the surface microstructure and the pore size of electrical Ni plating layer, and the adhesive correlation between deposited layers fabricated by electro Ni plating was confirmed. The result of the present study, the newly developed, eco-friendly etching solution, which is a mixture of potassium permanganate 25 g/L, sulfuric acid 650ml/L and phosphoric acid 250ml/L, has a similar etching effect and adhesion property, compared with the commercially used chromium acid solution in the condition at $70^{\circ}C$ for 5 min.

Dynamical behavior of generalized thermoelastic diffusion with two relaxation times in frequency domain

  • Sharma, Nidhi;Kumar, Rajneesh;Ram, Paras
    • Structural Engineering and Mechanics
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    • 제28권1호
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    • pp.19-38
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    • 2008
  • A general solution to the field equations of homogeneous isotropic generalized thermoelastic diffusion with two relaxation times (Green and Lindsay theory) has been obtained using the Fourier transform. Assuming the disturbances to be harmonically time.dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed loads have been considered to show the utility of the solution obtained. The transformed components of displacement, stress, temperature distribution and chemical potential distribution are inverted numerically, using a numerical inversion technique. Effect of diffusion on the resulting expressions have been depicted graphically for Green and Lindsay (G-L) and coupled (C-T) theories of thermoelasticity.

국소마취시 통증을 줄이기 위한 기기들 (Devices for reducing Pain during local anesthesia)

  • 박원서
    • 대한치과의사협회지
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    • 제56권1호
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    • pp.58-65
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    • 2018
  • Dental local anesthesia is important procedure for the elimination of pain during dental treatment. However, the pain during local anesthesia is one of the main source of fear to the patients. The cause of pain during dental local anesthesia includes soft tissue damage during penetration of the oral mucosa, pressure from the spread of the anesthetic solution, temperature of anesthetic solution, low pH of anesthetic solution, and the characteristics of the drug. Several concepts and devices introduced to date to reduce the pain during local anesthesia for dental treatment. In this report, devices that can reduce the pain during local anesthesia will be discussed.

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잡음훼손에 적합한 평가함수와 복원기법을 이용한 유전적 연산자의 개선 (Imrovement of genetic operators using restoration method and evaluation function for noise degradation)

  • 김승목;조영창;이태홍
    • 전자공학회논문지S
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    • 제34S권5호
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    • pp.52-65
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    • 1997
  • For the degradation of severe noise and ill-conditioned blur the optimization function has the solution spaces which have many local optima around global solution. General restoration methods such as inverse filtering or gradient methods are mainly dependent on the properties of degradation model and tend to be isolated into a local optima because their convergences are determined in the convex space. Hence we introduce genetic algorithm as a searching method which will search solutions beyond the convex spaces including local solutins. In this paper we introudce improved evaluation square error) and fitness value for gray scaled images. Finally we also proposed the local fine tunign of window size and visit number for delicate searching mechanism in the vicinity of th global solution. Through the experiental results we verified the effectiveness of the proposed genetic operators and evaluation function on noise reduction over the conventional ones, as well as the improved performance of local fine tuning.

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