• 대한기계학회논문집A
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• 제24권2호
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• pp.319-328
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• 2000

This paper presents a new design method of the 1 generation wheel bearing unit using a numerical optimization technique in order to increase bearing fatigue life. For calculating the fatigue life, a method of load analysis is studied on the automotive wheel bearing system. The design variables selected are ball size, initial contact angle, number of balls, pitch diameter, pre-load, and distance between ball centers. The method of feasible directions in ADS (Automated Design Synthesis) is utilized to automatically find the optimum design variables. To validate the design method, a computer program is developed and applied to a practical passenger car model. The optimum design results demonstrated the effectiveness of the proposed design method showing that the system life of the optimally designed wheel bearing unit is enhanced in comparison with that of the initial ones within the given available design space.

• 대한수학회보
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• 제54권2호
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• pp.417-428
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• 2017

We classify the extreme bilinear forms of the unit ball of the space of bilinear forms on ${\mathbb{R}}^2$ with hexagonal norms.

• 대한수학회보
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• 제33권4호
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• pp.497-501
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• 1996

Let B denote the unit ball in $C^n(n \geq 1)$, and $\upsilon$ the 2n-dimensional Lebesgue measure on B normalized so that $\upsilon(B) = 1$, while $\sigma$ is the normalized surface measure on the boundary S of B.

• 대한수학회보
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• 제60권3호
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• pp.649-657
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• 2023

In this paper, we give new necessary and sufficient conditions for the compactness of composition operator on the Besov space and the Bloch space of the unit ball, which, to a certain extent, generalizes the results given by M. Tjani in [10].

• 대한물리치료과학회지
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• 제25권2호
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• pp.35-46
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• 2018

Purpose: The purpose of this study is to examine the effects of sit-up exercise using gym ball unit on lower extremity strength. Method: Subjects consisted of 12 G University student (Male:6/Female:6) aged 23~26 years. The experiment progressed with 2 groups according to different size gym balls. and diameter of each gym ball is 45cm / 65cm. The measurement of strength of lower extremity was taken by isokinetic exercise machine(Biodex Medical, Inc, USA) Result: The results of this study were as follow. There were not different of Peak torque and Average Power between 65cm gymball and 45cm gymball. in other words using the 45cm gym ball and 65cm gym ball sit-up exercise were both effective for strengthening of lower extremity. Conclusion: Sit-up exercise on all of less than 65cm gym ball was effective for strengthening of lower extremity, furthermore it was helpful for keeping uprighting posture also it is affect on abdominal strengthening. As a result sit-Up Exercise Using Gym Ball is effective for a person with weak lower extremity and a person need uprighting posture.

• 대한수학회보
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• 제54권2호
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• pp.705-714
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• 2017

Let $A^2_{{\alpha},{\beta}}(\mathbb{B}_n)$ denote the space of holomorphic functions that are $L^2$ with respect to a weight of form ${\omega}_{{\alpha},{\beta}}(z)=(1-{\mid}z{\mid}^{\alpha}e^{-{\frac{\beta}{1-{\mid}z{\mid}}}}$, where ${\alpha}{\in}\mathbb{R}$ and ${\beta}$ > 0 on the unit ball $\mathbb{B}_n$. We obtain some results for the boundedness and compactness of $Ces{\grave{a}}ro$ operator on $A^2_{{\alpha},{\beta}(\mathbb{B}_n)$.

• East Asian mathematical journal
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• 제31권1호
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• pp.55-63
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• 2015

Let $\mathbb{B}$ be the unit ball in $\mathbb{C}^n$. For a weight function ${\omega}$, we define the generalized growth space $A^{\omega}(\mathbb{B})$ by the space of holomorphic functions f on $\mathbb{B}$ such that $${\mid}f(z){\mid}{\leq}C{\omega}({\mid}{\rho}(z){\mid},\;z{\in}\mathbb{B}$$. Our main purpose in this note is to get the corona type decomposition in generalized growth spaces on $\mathbb{B}$.

• Kyungpook Mathematical Journal
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• 제60권3호
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• pp.485-505
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• 2020

We present a complete description of all the extreme points of the unit ball of 𝓛_s(²𝑙³_∞) which leads to a complete formula for ║f║ for every f ∈ 𝓛_s(²𝑙³_∞)^∗. We also show that $extB_{{\mathcal{L}}_s(^2l^3_{\infty})}{\subset}extB_{{\mathcal{L}}_s(^2l^n_{\infty})}$ for every n ≥ 4. Using the formula for ║f║ for every f ∈ 𝓛_s(²𝑙³_∞)^∗, we show that every extreme point of the unit ball of 𝓛_s(²𝑙³_∞) is exposed. We also characterize all the smooth points of the unit ball of 𝓛_s(²𝑙³_∞).

• 전기전자학회논문지
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• 제25권1호
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• pp.148-155
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• 2021

로봇 기술이 발전함에 따라 모바일 로봇의 주행 시스템에 대한 연구가 활발히 진행되고 있다. 2륜 및 4륜의 휠을 기반으로 구성되는 모바일 로봇의 주행 시스템은 직선과 같은 단반향 주행에 장점이 있으나 방향 전환 및 제자리 회전에 단점을 가지고 있다. 볼을 휠로 사용하는 볼 로봇은 전방향 이동에 장점이 있으나, 구조적인 불안정한 특성에 의해 균형을 유지하기 위한 자세 제어 및 이동을 위한 주행 제어가 요구된다. 기존의 볼 로봇은 모터에 부착된 엔코더를 이용하여 주행제어를 위한 위치를 추정함으로써 오차가 누적되는 한계를 가지고 있다. 본 연구에서는 영상처리를 통해 볼 로봇의 위치 좌표를 추정하고, 이를 주행 제어에 사용하는 주행 제어 시스템을 제안하였다. 볼 로봇의 위치를 추정하기 위한 영상처리부, 통신부, 표시부 및 제어부를 포함하는 볼 로봇의 주행 제어 시스템을 설계 및 제작하고, 주행 제어 시스템을 적용한 볼 로봇의 주행 실험을 통해 x축 방향 ±50.3mm 및 y축 방향 ±53.9mm의 오차범위 이내에서 오차의 누적 없이 제어됨을 확인하였다.

• 대한수학회지
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• 제42권1호
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• pp.111-127
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• 2005

Let B and S be the unit ball and the unit sphere in $\mathbb{C}^n$, respectively. Let ${\sigma}$ be the normalized Lebesgue measure on S. Define the Privalov spaces $N^P(B)\;(1\;<\;p\;<\;{\infty})$ by $$N^P(B)\;=\;\{\;f\;{\in}\;H(B) : \sup_{0 where H(B) is the space of all holomorphic functions in B. Let ${\varphi}$ be a holomorphic self-map of B. Let ${\mu}$ denote the pull-back measure ${\sigma}o({\varphi}^{\ast})^{-1}$. In this paper, we prove that the composition operator $C_{\varphi}$ is metrically bounded on $N^P$(B) if and only if ${\mu}(S(\zeta,\delta)){\le}C{\delta}^n$ for some constant C and $C_{\varphi}$ is metrically compact on $N^P(B)$ if and only if ${\mu}(S(\zeta,\delta))=o({\delta}^n)$ as ${\delta}\;{\downarrow}\;0$ uniformly in ${\zeta}\;\in\;S. Our results are an analogous results for Mac Cluer's Carleson-measure criterion for the boundedness or compactness of $C_{\varphi}$ on the Hardy spaces $H^P(B)$.