• 제목/요약/키워드: Angular

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Operator Inequalities Related to Angular Distances

  • Taba, Davood Afkhami;Dehghan, Hossein
    • Kyungpook Mathematical Journal
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    • 제57권4호
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    • pp.623-630
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    • 2017
  • For any nonzero elements x, y in a normed space X, the angular and skew-angular distance is respectively defined by ${\alpha}[x,y]={\parallel}{\frac{x}{{\parallel}x{\parallel}}}-{\frac{y}{{\parallel}y{\parallel}}}{\parallel}$ and ${\beta}[x,y]={\parallel}{\frac{x}{{\parallel}y{\parallel}}}-{\frac{y}{{\parallel}x{\parallel}}}{\parallel}$. Also inequality ${\alpha}{\leq}{\beta}$ characterizes inner product spaces. Operator version of ${\alpha}$ has been studied by $ Pe{\check{c}}ari{\acute{c}}$, $ Raji{\acute{c}}$, and Saito, Tominaga, and Zou et al. In this paper, we study the operator version of ${\beta}$ by using Douglas' lemma. We also prove that the operator version of inequality ${\alpha}{\leq}{\beta}$ holds for commutating normal operators. Some examples are presented to show essentiality of these conditions.

The Effects of Isokinetic Exercise on Knee Joint Combined Russian Current Stimulation

  • Kim, Dong-Hoon;Jung, Ho-Bal
    • The Journal of Korean Physical Therapy
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    • 제27권5호
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    • pp.351-355
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    • 2015
  • Purpose: This study was conducted to determine how stimulation using Russian current changes isokinetic exercise performance of quadriceps muscle and its antagonist muscles. Methods: Subjects were 20 20-year-old healthy adults who were instructed in the flexion to extension of knees in angular velocity $60^{\circ}/sec$ and $180^{\circ}/sec$ using a Biodex (Biodex system 3). We measured the difference in muscle performance between the Russian current stimulated at the same time during the flexion to extension of knees and not stimulated. Results: The results showed that when Russian current stimulation was applied at the angular velocity $60^{\circ}/sec$, the flexed and extended muscles and the angular velocity $180^{\circ}/sec$ increased significantly, but the peak torque of flexing muscles at the angular velocity $180^{\circ}/sec$ did not increase. Conclusion: These findings suggest that Russian current stimulation with isokinetic exercise of the knee joint could affect the quadriceps muscle and its antagonist muscle performance of muscle strength and endurance.

경방향 하중을 받는 스핀들 베어링 계의 동특성 연구 (Study on Dynamic Characteristics of Spindle-bearing System Subjected to Radial Load)

  • 최춘석;홍성욱
    • 한국생산제조학회지
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    • 제22권4호
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    • pp.740-746
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    • 2013
  • Angular contact ball bearings are often adopted for a high-speed spindle owing to their durability against axial and radial loads. The dynamic characteristics of an angular contact ball bearing, however, are very complicated because they are dependent on the applied loads as well as on the system configuration. This study systematically analyzes the radial-load-dependent characteristics of spindles as well as angular contact ball bearings. Toward this end, a spindle dynamic model along with the bearing dynamics model is established. An iterative solution algorithm is implemented to resolve the statically indeterminate problem associated with spindle-bearing systems subjected to radial load. Two numerical examples are provided to investigate the spindle and bearing characteristics as a function of radial load with regard to the system configuration.

이동질량을 가진 유체유동 회전 외팔 파이프의 동특성 (Dynamic Behavior of Rotating Cantilever Pipe Conveying Fluid with Moving mass)

  • 손인수;윤한익
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.308-311
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    • 2005
  • In this paper, we studied about the effects of the rotating cantilever pipe conveying fluid with a moving mass. The influences of a rotating angular velocity, the velocity of fluid flow and moving mass on the dynamic behavior of a cantilever pipe have been studied by the numerical method. The equation of motion is derived by using the Lagrange's equation. The cantilever pipe is modeled by the Euler-Bemoulli hew theory. When the velocity of a moving mass is constant, the lateral tip-displacement of a cantilever pipe is proportional to the moving mass and the angular velocity. In the steady state, the lateral tip-displacement of a cantilever pipe is more sensitive to the velocity of fluid than the angular velocity, and the axial deflection of a cantilever, pipe is more sensitive to the effect of a angular velocity.

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새로운 강소성 가공 공정으로서 Half Channel Angular Extrusion(HCAE)의 유한요소해석 (Finite Element Analysis of Half Channel Angular Extrusion (HCAE) as a New Severe Plastic Deformation Process)

  • 김경진
    • 소성∙가공
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    • 제21권3호
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    • pp.164-171
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    • 2012
  • This paper focuses on the development of a new SPD (severe plastic deformation) process named HCAE (half channel angular extrusion). HCAE technology is based on principled similar to ECAE, but imposes a larger amount and more effective plastic deformation on materials. The amount of shear deformation can be altered by varying the process parameters. Finite element analyses of HCAE were conducted in order to investigate the characteristics of deformation during HCAE and the simulated results show that the predicted value of imposed plastic strain in a single pass reaches 2.5.

힌지 연결된 분할형 동체를 갖는 유도탄의 고유진동특성 연구 (A Study on Natural Frequencies of a Missile having Split Airframes with Hinged Joints)

  • 강춘길;원명식
    • 한국군사과학기술학회지
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    • 제10권4호
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    • pp.176-184
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    • 2007
  • The missile for this study has shown different natural frequency characteristics depending on the test conditions; natural frequencies obtained from its flight test are higher than those in its ground test. It was found that the hinged joints connecting front airframe to rear one had the nonlinear stiffness and caused the missile to show very complex dynamic characteristics. The angular stiffness at hinged joints was calculated using 3D finite element analysis, and it was verified that there was a highly nonlinear relationship between angular stiffness and external load. Natural frequencies calculated considering the nonlinearity of angular stiffness were nearly the same as test results. Through this study, the dynamic characteristics of a missile having split airframes with hinged joints could be clearly identified and a way of maintaining its natural frequencies consistent was generated.

광학센서를 이용한 관절운동각도 측정 (Angular Displacement Measurement Using Optical Sensor)

  • 정구인;김지선;허동훈;유환동;임성환;최주현;이정환;엄광문;전재훈
    • 전기학회논문지
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    • 제60권10호
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    • pp.1959-1965
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    • 2011
  • Measuring the movement of joint angle of human body is very important clinically. Human joint angle displacement can be used to evaluate the degree of disease and disability. Also, we can determine the rehabilitation process with angular information. Conventional methods for measuring angular displacement are many weakness. The purpose of this study is to overcome the limitations of existing equipments by using optical method. For this reason, optical sensor system was used to correlate detected light signal with joint angle. Experimental results of the applied joint model in this study showed that joint angular displacement can be measured by optical signals. The suggested method is simple, durable, small, lightweight, convenient, and cost effective.

Ultrasonic Evaluation of Creep Damage in 316LN Stainless Steel

  • Yin, Song-Nan;Hwang, Yeong-Tak;Yi, Won
    • International Journal of Precision Engineering and Manufacturing
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    • 제8권4호
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    • pp.33-37
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    • 2007
  • Creep failure of 316LN stainless steel (SS) occurs due to the nucleation and growth of cracks. An investigation was performed to correlate the creep damage with ultrasonic wave speeds and angular frequencies using creep-tested 316LN SS specimens. Ultrasonic wave measurements were made in the direction of and perpendicular to the loading using contact probes with central frequencies of 10, 15, and 20 MHz. We found that the angular frequency and wave speed decreased with increasing creep time to rupture by analyzing the ultrasonic signals from the 15 and 20 MHz probes. Therefore, the creep damage was sensitive to the angular frequency and wave speed of ultrasonic waves.

비선형성을 고려한 각가속도를 갖는 유연 회전원판의 동적 해석 (Dynamic Analysis of a Flexible Spinning Disk with Angular Acceleration Considering Nonlinearity)

  • 정진태;정두한
    • 소음진동
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    • 제9권4호
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    • pp.806-812
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    • 1999
  • Dynamic behaviors are analyzed for a flexble spinning disk with angular acceleration, considering geometric nonlinearity. Based upon the Kirchhoff plate theory and the von Karman strain theory, the nonlinear governing equations are derived which are coupled equations with the in-plane and out-of-planedisplacements. The governing equations are discretized by using the Galerkin approximation. With the discretized nonlinear equations, the time responses are computed by using the generalized-$\alpha$ method and the Newton-Raphson method. The analysis shows that the existence of angular acceleration increases the displacements of the spinning disk and makes the disk unstable.

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실차 적용을 통한 각속도센서 특성 연구 (A Study on Characteristics of Angular Rate Sensor using Real Vehicle)

  • 김병우
    • 전기학회논문지
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    • 제56권7호
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    • pp.1218-1223
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    • 2007
  • A surface micro machined angular rate sensor utilizing a vibrating MEMS structure on a silicon has been developed. These tuning fork angular rate sensors are extremely rugged, inherently balanced, and easy to fabricate. The device is fabricated using a temperature compensation method based on automatic gain control technique. A linearity of approximately 0.6%, limited by the on-chip electronics has been obtained with this new sensor. Tests of the sensor demonstrate that its performance is equivalent to that required for implementation of a yaw control system. Vehicle handling and safety are substantially improved using the sensor to implement yaw control.