• Title/Summary/Keyword: Weight Function

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Light Weight Design of the Commercial Truck Armature Core using the Sequential Response Surface Method (순차적 반응표면법을 이용한 상용 트럭 아마추어 코어 경량화 설계)

  • H. T. Lee;H. G. Kim;S. J. Park;Y. G. Jung;S. M. Hong
    • Transactions of Materials Processing
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    • v.32 no.1
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    • pp.12-19
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    • 2023
  • The armature core is a part responsible for the skeleton of the steering wheel. Currently, in the case of commercial trucks, the main parts of the parts are manufactured separately and then the product is produced through welding. In the case of this production method, quality and cost problems of the welded parts occur, and an integrated armature core made of magnesium alloy is used in passenger vehicles. However, in the case of commercial trucks, there is no application case and research is insufficient. Therefore, this study aims to develop an all-in-one armature core that simultaneously applies a magnesium alloy material and a die casting method to reduce the weight and improve the quality of the existing steel armature core. The product was modeled based on the shape of a commercial product, and finite element analysis (FEA) was performed through Ls-dyna, a general-purpose analysis program. Through digital image correlation (DIC) and uniaxial tensile test, the accurate physical properties of the material were obtained and applied to the analysis. A total of four types of compression were applied by changing the angle and ground contact area of the product according to the actual reliability test conditions. analysis was carried out. As a result of FEA, it was confirmed that damage occurred in the spoke area, and spoke thickness (tspoke), base thickness (tbase), and rim and spoke connection (R) were designated as design variables, and the total weight and maximum equivalent stress occurring in the armature core We specify an objective function that simultaneously minimizes . A prediction function was derived using the sequential response surface method to identify design variables that minimized the objective function, and it was confirmed that it was improved by 22%.

80000 RPM용 고속회전축계의 최적설계에 관한 연구

  • 김종립;윤기찬;하재용;박종권
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.312-317
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    • 1997
  • This paper present an optimum design for the rotor-bearing system of a high-speed (80000RPM) ultra-centrifuge supported by ball bearings with nonlinear stiffness characteristics. To obtain the nonlinear bearing stiffnesses, a ball bearing is modelled in five degrees of freedom and is analyzed quasi-statically. The dynamic behaviors of the nonlinear rotor-bearing system are analyed by using a transfer-matrix method iteratively. For optimum design, minimizing the weight of a rotor is used as a cost function and the Augmented Lagrange Multiplier (ALM) method is employed. The result shows that the rotor-bearing system is optimized to obtain 8% weight reduction.

SHEAF-THEORETIC APPROACH TO THE CONVOLUTION ALGEBRAS ON QUIVER VARIETIES

  • Kwon, Namhee
    • Honam Mathematical Journal
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    • v.35 no.1
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    • pp.1-15
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    • 2013
  • In this paper, we study a sheaf-theoretic analysis of the convolution algebra on quiver varieties. As by-products, we reinterpret the results of H. Nakajima. We also produce a refined form of the BBD decomposition theorem for quiver varieties. Finally, we study a construction of highest weight modules through constructible functions.

WEIGHTED LEBESGUE NORM INEQUALITIES FOR CERTAIN CLASSES OF OPERATORS

  • Song, Hi Ja
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.137-160
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    • 2006
  • We describe the weight functions for which Hardy's inequality of nonincreasing functions is satisfied. Further we characterize the pairs of weight functions $(w,v)$ for which the Laplace transform $\mathcal{L}f(x)={\int}^{\infty}_0e^{-xy}f(y)dy$, with monotone function $f$, is bounded from the weighted Lebesgue space $L^p(w)$ to $L^q(v)$.

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Robustness of Minimum Disparity Estimators in Linear Regression Models

  • Pak, Ro-Jin
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.349-360
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    • 1995
  • This paper deals with the robustness properties of the minimum disparity estimation in linear regression models. The estimators defined as statistical quantities whcih minimize the blended weight Hellinger distance between a weighted kernel density estimator of the residuals and a smoothed model density of the residuals. It is shown that if the weights of the density estimator are appropriately chosen, the estimates of the regression parameters are robust.

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System development of fatigue-less HMD system 3DDAC(3D Display with Accommodative Compensation): System implementation of Mk.4 in light-weight HMD

  • Toshiaki-SUGIHARA;Tsutomu-MIYASATO
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1998.06b
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    • pp.51-54
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    • 1998
  • This paper describes the development of the 3DDAC mk.4 system, which is a brand new implementation on the research program. The 3DDAC is a fatigue-less stereoscopic display system that is provided with a compensating function of accommodation for binocular disparity 3D image representation. The mk.4 system also features a light-weight HMD style.

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A Class of Normaloid Weighted Composition Operators on the Fock Space over ℂ

  • Santhoshkumar, Chandrasekaran;Veluchamy, Thirumalaisamy
    • Kyungpook Mathematical Journal
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    • v.61 no.4
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    • pp.889-896
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    • 2021
  • Let 𝜙 be an entire self map on ℂ and let 𝜓 be an entire function on ℂ. A weighted composition operator induced by 𝜙 with weight 𝜓 is given by C𝜓,𝜙. In this paper we investigate under what conditions the weighted composition operators C𝜓,𝜙 on the Fock space over ℂ induced by 𝜙 with weight of the form $k_c({\zeta})=e^{{\langle}{\zeta},c{\rangle}-{\frac{{\mid}c{\mid}^2}{2}}}$ is normaloid and essentially normaloid.

MULTIPLE WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS OF MULTILINEAR SINGULAR INTEGRALS WITH GENERALIZED KERNELS

  • Liwen Gao;Yan Lin;Shuhui Yang
    • Journal of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.207-226
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    • 2024
  • In this paper, the weighted Lp boundedness of multilinear commutators and multilinear iterated commutators generated by the multilinear singular integral operators with generalized kernels and BMO functions is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels under certain conditions.

A Study on the instruction of function concept in school mathematics (학교수학에서의 함수 개념 지도 방법에 관한 고찰)

  • 강윤수;정성현;강덕심
    • Journal of Educational Research in Mathematics
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    • v.8 no.1
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    • pp.381-403
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    • 1998
  • As a researcher engaged in the mathematical education, mathematics teachers are interested in instructional methods. While it is unlikely that the viewpoints of individual mathematics teachers are reflected in making decisions on instructional purposes and instructional contents, a good many parts of instructional methods on mathematical facts are decided by individual teachers. This means that the role of mathematics teachers is given much weight in the mathematical education. Therefore, the mathematics teachers must not be excluded in all parts of the study of mathematical education. We studied the instructional methods of function concept, a central topic in school mathematics from the following perspectives. First, we examined the characteristics of the three(correspondence-centered, middle, dependence centered) viewpoints about the essence of function concept. And we should that which of them should be the viewpoint of instruction of function concept in school mathematics. Second, we investigated the questions regarding the process of function instruction in school mathematics and presented alternative instruction methods of function concept to solve the questions. Third, we postulated the importance of polynomial function, relating college mathematics in order to present the reason why the polynomial function is importantly treated in functional instruction of school mathematics.

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