• Title/Summary/Keyword: Relationship formula

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Delay-Dependent Stabilization for Uncertain Dynamic Systems with State and Input Delays (상태변수와 입력변수에 시간지연을 갖는 불확정 동적 시스템의 제어기 설계)

  • Cho Hyun-Ju;Park Ju-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.4
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    • pp.215-219
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    • 2005
  • This paper aims at asymptotic stabilization for uncertain dynamic systems with state and input delays. We propose a memoryless state feedback controller which maximizes the delay bound for guaranteeing stability of the system. Using Lyapunov method and linear matrix inequality (LMI) approach, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The criterion is represented in terms of LMIs, which can be solved by various efficient convex optimization algorithms. Numerical examples are given to illustrate our main method.

Comparative Study of Dutch Cone and Piezocone Penetration Test on Soft Ground (연약지반에 대한 더치콘과 피에조콘 관입시험 비교 연구)

  • 원정윤;장병욱;우철웅;윤상묵
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.2
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    • pp.96-106
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    • 2003
  • 134 Dutch cone (mechanical cone) and 9 piezocone (electronic cone) penetration tests have been performed in the southwestern part of Korea. In general, Dutch cone results may be different from that of piezocone due to the difference in structure of the cones. 6 Dutch cone and piezocone test data which were obtained at the same point respectively, were analyzed and plotted in soil classification chart proposed by Robertson et. al.(1986, 1990). Cone factors of Dutch cone and piezocone test empirically have been determined using laboratory and field vane test results. Using this cone factors, it was shown that there was good correlation between shear strength estimated using cone resistance and that of laboratory test and field vane tests. It was found that there was a good correlation between cone resistance from Dutch cone and that from piezocone. Relationship formula was also suggested. Dutch cone test provides a useful means for stratigraphic profiling in large project and has some advantage over piezocone in particular situations, such as very soft clay ground and dredged area.

Examination of the Impact of Blood Groups on Group Participation

  • Asgari, Omid
    • The Journal of Industrial Distribution & Business
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    • v.6 no.2
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    • pp.25-30
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    • 2015
  • Purpose - Could blood type provide the key to wellness and affect our personality? The theory that blood type is linked to personality (and other mental and physical qualities) is popular mostly in Japan, although it has carried over to Taiwan and South Korea. Research Design, Data, and Methodology - Questionnaires were distributed to 380 production line company employees. The reliability and validity of the questionnaires were examined through independence testing and the average ratio comparison of the two populations. Additionally, using Pearson's chi-square formula, the relationship between the blood group (independent variable) and general group participation (dependent variable) was tested along with the Schuprow coefficient. Result - The prioritization of blood groups over the general group participation was identified and the following results were obtained: Individual group participation is affected by personality features derived from temperament, mood, and other characteristics. Conclusion - The study showed that individual blood groups have an effect on their group cooperation, and among blood groups, blood group A had the greatest tendency to group participation, followed by blood groups O, AB, B, respectively.

TUNING Fork Analysis and Design by FEM AND BEM (FEM과 BEM을 사용한 소리굽쇠 특성 해석 및 설계)

  • Jarng, Soon-Suck;Kwon, You-Jung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.1201-1204
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    • 2003
  • An unconstrained tuning fork with a 3-D model has been numerically analyzed by Finite Element Method(FEM) and Boundary Element Method (BEM). The first three natural frequencies were calculated by the FEM modal analysis. Then the trend of the change of the modal frequencies was examined with the variation of the tuning fork length and width. An formula for the natural frequencies-tuning fork length relationship were derived from the numerical analysis results. Finally the BEM was used fur the sound pressure field calculation from the structural displacement data.

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Dynamics of thick hygrothermal viscoelastic composite laminates through finite element method

  • Assie, Amr E.;Mahmoud, Fatin F.
    • Structural Engineering and Mechanics
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    • v.17 no.5
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    • pp.727-734
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    • 2004
  • An uncoupled computational model for analyzing the hygrothermal dynamic response of composite laminates has been developed. The constitutive equations, expressed in an integral form, and involving relaxation moduli are adopted, to describe the non-aging hygrothermorheologically simple materials. A Prony series represents the relaxation moduli is exploited in order to derive a recursive relationship, and thereby eliminate the storage problem that arises when dealing with material possessing memory. The problem is formulated in a descritized variational form. Mindlin and higher order finite elements are employed for spatial descretization, while the Newmark average acceleration scheme is exploited for temporal descritization. The adopted recursive formula uses only the details of the previous event to compute the details of the current one. Numerical results of the displacement fields of both thin and thick viscoelastic laminates problems are discussed to show up the effectiveness of Mindlin and higher-order shear theories.

Vibration Analysis of a Helical Spring under the pre-load (예하중을 받는 헬리컬 스프링의 진동 해석)

  • Lee, Jae-Hyung;Heo, Seung-Jin
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.355-360
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    • 2001
  • By using Frenet formulation and Timoshenko beam theory, the partial differential equations of motion are derived for a helical spring having a doubly symmetrical cross section subjected to the pre-load axially. These equations of motion are solved to give the dispersion relationship and dynamic stiffness matrix is assembled. Natural frequencies are obtained from the receptance of the system. The results of the dynamic stiffness method are compared with those of the transfer matrix method from published examples and finite element method.

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SOME INTEGRAL REPRESENTATIONS OF THE CLAUSEN FUNCTION Cl2(x) AND THE CATALAN CONSTANT G

  • Choi, Junesang
    • East Asian mathematical journal
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    • v.32 no.1
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    • pp.43-46
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    • 2016
  • The Clausen function $Cl_2$(x) arises in several applications. A large number of indefinite integrals of logarithmic or trigonometric functions can be expressed in closed form in terms of $Cl_2$(x). Very recently, Choi and Srivatava [3] and Choi [1] investigated certain integral formulas associated with $Cl_2$(x). In this sequel, we present an interesting new definite integral formula for the Clausen function $Cl_2$(x) by using a known relationship between the Clausen function $Cl_2$(x) and the generalized Zeta function ${\zeta}$(s, a). Also an interesting integral representation for the Catalan constant G is considered as one of two special cases of our main result.

Axial Force of a V-Belt CVT -Experimental Study- (V-벨트 CVT의 축력해석 II -실험적 연구-)

  • 김광원;김현수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.5
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    • pp.847-854
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    • 1989
  • Axial force of a V-belt CVT is investigated experimentally. The experimental results on speed ratio-torque-axial force show good agreement with the theoretical results that were obtained in the previous work. It is also found that torque capacity of the V-belt CVT increases as the axial force and the speed ratio increase. Impending slip which occurs at the maximum torque is determined via experiments for various speed ratios. Based on the impending slip region, and the theoretical curves for the speed ratio-torque-axial force relationship, an actual operating criteria for the V-belt CVT is obtained. It is suggested to use the actual operating criteria with the theoretical equations as a basic design formula for the V-belt CVT.

Determination of Brinell Hardness through Instrumented Indentation Test without Observation of Residual Indent (계장화압입시험법을 이용한 비압흔관찰 브리넬 경도 평가)

  • Kim, Sung-Hoon;Choi, Yeol;Kwon, Dong-Il
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.578-585
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    • 2004
  • Hardness test is performed for determination of the other properties, such as strength, wear resistance and deformation resistance, as well as hardness itself. And it is performed for prediction of residual lifetime by analysis of hardness reduction or hardness ratio. However, hardness test has limitation that observation of residual indent is needed for determination of hardness value, and that is the reason for not to be widely used in industrial field. Therefore, in this study, we performed researches to obtain Brinell hardness value from quantitative numerical formula by analysing relationship between indentation depths from indentation load-depth curve and mechanical properties such as work hardening exponent, yield strength and elastic modulus.

Free Vibration Analysis of Rectangular Plate with a Rectangular Cutout (직사각형 구멍을 갖는 직사각형판의 자유진동해석)

  • Kwak, Moon-K.;Han, Sang-Bo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.593-599
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    • 2005
  • This paper is concerned with the vibration analysis of a rectangular plate with a rectangular hole. Even though there have been many methods developed for the addressed problem, they suffer from computational time. In this paper, we developed a new methodology called Independent Coordinate Coupling Method which can couple two independent coordinate systems for the entire plate domain and the hole. By matching the deflection condition imposed on the expressions, the relationship between the global axes and the local axes is derived. This formula is then used for the calculation of the eigenvalue problem. The numerical results show the efficacy of the proposed method.

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