• Title/Summary/Keyword: Classical solutions

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Numerical Analyses of Critical Buckling Loads and Modes of Anisotropic Laminated Composite Plates (비등방성 복합 적층판의 임계좌굴하중 및 모드의 수치 해석)

  • Lee, Sang Youl;Yhim, Sung Soon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.451-461
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    • 1998
  • The solution of anisotropic plate via the classical methods is limited to relatively load and boundary conditions. If these conditions are more complex, the analysis becomes increasingly tedious and even impossible. For many plate problems of considerable practical interest, analytic solutions to the governing differential equations cannot be found. Among the numerical techniques presently available, the finite difference method and the finite element method are powerful numerical methods. The objective of this paper is to compare with each numerical methods for the buckling load and modes of anisotropic composite laminated plates considering shear deformation. In applying numerical methods to solve differential equations of anisotropic plates, this study uses the finite difference method and the finite element method. In determining the eigenvalue by Finite Difference Method, this paper represent good convergence compared with Finite Element Method. Several numerical examples and buckling modes show the effectiveness of various numerical methods and they will give a guides in deciding minimum buckling load and various mode shapes.

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A C0 Finite Element of Thin-Walled Open Beams Including Warping Shear Deformation (? 전단변경(剪斷變形)을 고려한 비대칭(非對稱) 박벽단면(薄壁斷面)보의 C0 유한요소(有限要素))

  • Back, Sung Yong;Cho, Hyun Yung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.2
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    • pp.291-298
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    • 1994
  • This paper presents a new stiffness matrix for the analysis of arbitrary thin-walled open beams in warp-restrained torsion. The element accounts for both flexural and warping torsional effects. To eliminate the ad hoc introduction of St. Venant stiffness in this $C^0$ element, the virtual work equation based on an orthogonal Cartesian coordinate system is used. The effectiveness of the derived block stiffness is addressed. The transformation matrix between two different reference systems is also shown. Numerical examples using the proposed matrix are compared with the classical solutions or other previous results in the literature.

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A Method for Determination of Nitrogen in Ruminant Feedstuffs and Products

  • Islam, M.R.;Ishida, M.;Ando, S.;Nishida, T.;Yamada, T.
    • Asian-Australasian Journal of Animal Sciences
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    • v.16 no.10
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    • pp.1438-1442
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    • 2003
  • A method for the determination of nitrogen in ruminant feedstuffs, products and excreta (e.g. milk and urine) using a spectrophotometer is developed, where samples processed for P determination are also used to determine N. Samples are digested with sulphuric acid and subsequently with hydrogen peroxide in Kjeldahl tubes. Digested solutions along with phenol and buffered alkaline hypochlorite reagents are incubated in a water bath at $37^{\circ}C$ for 30 min and presented in the spectrophotometer. The spectrophotometer set at 625 nm measures the concentration of N of each sample. Nitrogen in 261 of the samples was also determined by the classical Kjeldahl method in order to develop a relationship between N determined by the Kjeldahl method (Y) and the colorimetric method (X). The mean value of Y was as high as that of X (0.92 vs. 0.96; p>0.05). The colorimetric method predicted Kjeldahl N highly significantly (Y=0.985X-0.024, $R^2=0.993$, p<0.001; or more simply Y=0.974X, $R^2=0.993$, p<0.001). An analysis of regression found no difference (p>0.05; both t-test and F-test) between colorimetric (0.96% N) and adjusted (0.96% N) N. In comparison with the Kjeldahl method, the analytical capacity of N by colorimetric method increases greatly, where 200-300 determinations of N are possible in a working day. In addition, the system provides an opportunity to use not only the same digested solution for both N and P determination of a particular sample, but also uses the same spectrophotometer to assay both N and P. Therefore, the system may be attractive in situations where both elements of a sample are to be determined. In conclusion, the speed of N determination, low cost, efficient use of labour, time and reagents, fewer items of equipment, and the reduction of environmental pollution by reducing effluent and toxic elements are the advantages of this method of N determination.

Photoaddition Reactions of Silyl Ketene Acetals with Aromatic Carbonyl Compounds: A New Procedure for β-Hydroxyester Synthesis

  • Yoon, Ung-Chan;Kim, Moon-Jung;Moon, Jae-Joon;Oh, Sun-Wha;Kim, Hyun-Jin;Mariano, Patrick S.
    • Bulletin of the Korean Chemical Society
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    • v.23 no.9
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    • pp.1218-1242
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    • 2002
  • Photochemical reactions of aromatic carbonyl compounds with silyl ketene acetals have been explored. Irradiation of acetonitrile or benzene solutions containing aryl aldehydes or ketones in the presence of silyl ketene acetals is observed to promo te formation of ${\beta}-hydroxyester$, 2,2-dioxyoxetane and 3,3-dioxyoxetane products. The ratios of these photoproducts, which arise by competitive single electron transfer (SET) and classical Paterno-Buchi mechanistic pathways, is found to be dependent on the degree of methyl-substitution on the vinyl moieties of the ketene acetals in a manner which reflects expected alkyl substituent effects on the oxidation potentials of these electron rich donors. An analysis of the product distribution arising by irradiation of a solution containing butyrophenone (6) and the silyl ketene acetal 9, derived from methyl isobutyrate, provides an estimate of the rate constants for the competitive Norrish type Ⅱ, SET and Paterno-Buchi processes occuring. Finally, sequences involving silyl ketene acetal-aryl aldehyde or ketone photoaddition followed by 2,2-dioxyoxetane hydrolysis represent useful procedures for Claisen-condensation type, ${\beta}-hydroxyester$ synthesis.

Solution of SMP Problem by Adapting ACS Algorithm (ACS알고리즘을 이용한 안정된 결혼 문제 해결에 관한 연구)

  • Kim, Hyun;Chung, Tae-Choong
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.47 no.6
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    • pp.68-74
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    • 2010
  • This paper suggest a new ACS algorithm to solve SMP which was solved by Gale-Shapley algorithm. The stable marriage problem is an extensively-studied combinatorial problem with many practical applications. The classical Gale-Shapley algorithm produces a marriage that greatly favors the men at the expense of the women, or vice versa. In this paper we apply ACS algorithm to SMP to find 4 kinds of solutions such as stable matching with man-optimal, woman-optimal, egalitarian stable matching, sex-fair stable matching. So this ACS is a novel method to solve Stable Marriage Problem. Our simulation results show the effectiveness of the proposed ACS.

Virtual Reality and the Space of Gu-Wun-Mong (사이버공간과 『구운몽』의 세계)

  • Jeon, Yi-Jeong
    • The Journal of the Korea Contents Association
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    • v.11 no.6
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    • pp.90-97
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    • 2011
  • The availability of computers and the wide network of the internet of the 'Information Society' has created a new space: Cyberspace. In this situations, the matters of individual identities and morality are more important problems. Korean classical novel, Gu Wun Mong, embodied the exploration process of identities in virtual spaces, has gravity of a situation. Seong Jin, the hero experienced the life of Yang so you went throughing virtual life, be born again. And he met eight taoist fairy in that virtual world. In this process, Seong Jin overcame a dualistic world of view and established identity of genuine truth-seeker. The 'Dream-fantasy' experience differentiation real world and virture world and give to Seong Jin a new identity, So You. Seong Jin used avatar, So You was free from limits of self and became obtain multiple personalities. Finally, Seong Jin realized the fact that real world and virtual one is the same, for development self-perception. Seong Jin's enlightment provided solutions for modern netizens, who is ambivalent about contradiction the real and virtual, infinity and clash of desire.

A Thermal Stress Analysis of Beams with Out-of-Plane Warping (면외 워핑함수를 고려한 보 구조물의 기계 및 열응력 해석)

  • Jeong, Yong-Min;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.3
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    • pp.229-235
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    • 2016
  • In this paper, a methodology, which is able to predict the thermal stresses accurately yet efficiently, is presented for beam structures via Saint-Venant's principle. In general, higher-order beam theories have been known to be effective for the prediction of thermal stresses. In contrast to this, we propose the method to predict the thermal stresses of beam structures by post-processing the classical beam theory via Saint-Venant's principle. The approach includes an out-of-plane warping displacement to account for the through-the-thickness thermal deformation. With this, one can accurately recover the thermal stresses as compared to the elasticity solutions. In fact, they are identical for the beams made of isotropic materials. The effect of out-of-plane warping is also investigated, it turns out that the effect is negligible in mechanical stress analysis but not in thermal stress analysis.

A Novel Carrier-to-noise Power Ratio Estimation Scheme with Low Complexity for GNSS Receivers (GNSS 수신기를 위한 낮은 복잡도를 갖는 새로운 반송파 대 잡음 전력비 추정기법)

  • Yoo, Seungsoo;Baek, Jeehyeon;Yeom, Dong-Jin;Jee, Gyu-In;Kim, Sun Yong
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.7
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    • pp.767-773
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    • 2014
  • The carrier-to-noise power ratio is a key parameter for determining the reliability of PVT (Position, Velocity, and Time) solutions which are obtained by a GNSS (Global Navigation Satellite System) receiver. It is also used for locking a tracking loop, deciding the re-acquisition process, and processing advanced navigation in the receiver subsystem. The representative carrier-to-noise power ratio estimation schemes are the narrowband-wideband power ratio method (NW), the MM (Moment Method), and Beaulieu's method (BL). The NW scheme is the most classical one for commercial GNSS receivers. It is often used as an authoritative benchmark for assessing carrier-to-noise power estimation schemes. The MM scheme is the least biased solution among them, and the BL scheme is a simpler scheme than the MM scheme. This paper focuses on the less biased estimation with low complexity when the residual phase noise remains, then proposes a novel carrier-to-noise power ratio estimation scheme with low complexity for GNSS receivers. The asymptotic bias of the proposed scheme is derived and compared with others, and the simulation results demonstrate that the complexity of the proposed scheme is lowest among them, while the estimation performance of the proposed scheme is similar to those of the BL and MM schemes in normal and high gained reception environments.

Optimal Design of Municipal Water Distribution System (관수로 시스템의 최적설계)

  • Ahn, Tae Jin;Park, Jung Eung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1375-1383
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    • 1994
  • The water distribution system problem consists of finding a minimum cost system design subject to hydraulic and operational constraints. Since the municipal water distribution system problem is nonconvex with multiple local minima, classical optimization methods find a local optimum. An outer flow search - inner optimization procedure is proposed for choosing a better local minimum for the water distribution systems. The pipe network is judiciously subjected to the outer search scheme which chooses alternative flow configurations to find an optimal flow division among pipes. Because the problem is nonconvex, a global search scheme called Stochastic Probing method is employed to permit a local optimum seeking method to migrate among various local minima. A local minimizer is employed for the design of least cost diameters for pipes in the network. The algorithm can also be employed for optimal design of parallel expansion of existing networks. In this paper one municipal water distribution system is considered. The optimal solutions thus found have significantly smaller costs than the ones reported previously by other researchers.

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The Extended k-opt Algorithm for Traveling Salesman Problem (외판원 문제의 확장된 k-opt 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.10
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    • pp.155-165
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    • 2012
  • This paper suggests traveling salesman problem algorithm that have been unsolved problem with NP-Hard. The proposed algorithm is a heuristic with edge-swap method. The classical method finds the initial solution starts with first node and visits to mostly adjacent nodes then decides the traveling path. This paper selects minimum weight edge for each nodes, then perform Min-Min method that start from minimum weight edge among the selected edges and Min-Max method that starts from maximum weight edges among it. Then we decide tie initial solution to minimum path length between Min-Min and Min-Max method. To get the final optimal solution, we apply previous two-opt to initial solution. Also, we suggest extended 3-opt and 4-opt additionally. For the 7 actual experimental data, this algorithm can be get the optimal solutions of state-of-the-art with fast and correct.