• Title/Summary/Keyword: First Moment

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Numerical Verification of the First Four Statistical Moments Estimated by a Function Approximation Moment Method (함수 근사 모멘트 방법에서 추정한 1∼4차 통계적 모멘트의 수치적 검증)

  • Kwak, Byung-Man;Huh, Jae-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.4
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    • pp.490-495
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    • 2007
  • This research aims to examine accuracy and efficiency of the first four moments corresponding to mean, standard deviation, skewness, and kurtosis, which are estimated by a function approximation moment method (FAMM). In FAMM, the moments are estimated from an approximating quadratic function of a system response function. The function approximation is performed on a specially selected experimental region for accuracy, and the number of function evaluations is taken equal to that of the unknown coefficients for efficiency. For this purpose, three error-minimizing conditions are utilized and corresponding canonical experimental regions constructed accordingly. An interpolation function is then obtained using a D-optimal design and then the first four moments of it are obtained as the estimates for the system response function. In order to verify accuracy and efficiency of FAMM, several non-linear examples are considered including a polynomial of order 4, an exponential function, and a rational function. The moments calculated from various coefficients of variation show very good accuracy and efficiency in comparison with those from analytic integration or the Monte Carlo simulation and the experimental design technique proposed by Taguchi and updated by D'Errico and Zaino.

The Influence of Step Length at Different Walking Speed on the Moment of the Lower Limb Joint (보행속도에 따른 보폭변화가 하지관절 모멘트에 미치는 영향)

  • Kim, Ro-Bin;Jin, Young-Wan;Moon, Gon-Sung
    • Korean Journal of Applied Biomechanics
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    • v.15 no.2
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    • pp.93-102
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    • 2005
  • The purpose of this study was to examine the effect of step length on the joint moment. The subjects were 4 undergraduate and graduate students in their 20s with normal legs. The subjects were individually tested by the running timer at the walking speed of 0.67m/s, 134m/s, and 2.46m/s. The step length was regulated to -10% of normal, normal and +10% of normal step length using foot print. The walking performances of each subjects were filmed using a high speed video camera. The raw data were analyzed by LabVIEW Graphical Program and these data were analyzed by ANOVAs and Scheffe. The results of this study were as follows: The maximum dorsiflexion moment of the ankle joint increased as the step length increased only at the fast walking speed. Although there wasn't significant difference shown in the plantar flexion moment, regular pattern in the plantar flexion moment which increased as the step length increased was found. The first maximum extension moment of the knee joint increased only at the normal walking speed, but there appeared no significant difference in the maximum flexion and second extension moment. The maximum extension moment of the hip joint increased at the normal and fast walking speed. Although there wasn't significant difference, regular pattern in flexion moment which increased as the step length increased was found.

Flexural Strength and Rotational Stiffness Estimation of Joint between Vertical and Horizontal Members in System Support (시스템 동바리 수직재와 수평재 연결부의 휨강도와 회전 강성 평가)

  • Won, Jeong-Hun;Lee, Hyung Do;Choi, Myeong-Ki;Park, Man Cheol
    • Journal of the Korean Society of Safety
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    • v.33 no.4
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    • pp.46-53
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    • 2018
  • This study examined the maximum resistant moment and nonlinear rotational stiffness of wedge joint between the vertical and horizontal members of system supports. To examine the maximum resistant moment and propose the nonlinear rotation stiffness of wedge joint, 6 specimens were tested and additional 3 specimens, where the horizontal member was welded to the vertical member, were tested to compare the moment capacity of wedge joints. The average maximum moment in the tested wedge joint was 1.183 kNm which represented about 70 % of the maximum moment developed in the welded specimens. And, as simulating nonlinear rotational stiffness of the wedge joint, a tri-linear model was suggested. The rotational stiffness was estimated as 23.095 kNm/rad in first stage, 7.945 kNm/rad in second stage, and 3.073 kNm/rad in third stage. For the failure mode, the specimen with the wedge joint showed the failure of joint between vertical and horizontal members. However, the specimen with welded joint represented the yielding of horizontal members.

Adopting flexibility of the end-plate connections in steel moment frames

  • Ghassemieh, M.;Baei, M.;Kari, A.;Goudarzi, A.;Laefer, D.F.
    • Steel and Composite Structures
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    • v.18 no.5
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    • pp.1215-1237
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    • 2015
  • The majority of connections in moment resisting frames are considered as being fully-rigid. Consequently, the real behavior of the connection, which has some level of flexibility, is ignored. This may result in inaccurate predictions of structural response. This study investigates the influence of flexibility of the extended end-plate connections in the steel moment frames. This is done at two levels. First, the actual micro-behavior of extended end-plate moment connections is explored with respect to joint flexibility. Then, the macro-behavior of frames with end-plate moment connections is investigated using modal, nonlinear static pushover and incremental dynamic analyses. In all models, the P-Delta effects along with material and geometrical nonlinearities were included in the analyses. Results revealed considerable differences between the behavior of the structural frame with connections modeled as fully-rigid versus those when flexibility was incorporated, specifically difference occurred in the natural periods, strength, and maximum inter-story drift angle.

Analysis of Cyclic Adenosine Monophosphate (cAMP) Separation via RP-HPLC (reversed-phase high-performance liquid chromatography) by the Moment Method and the van Deemter Equation (역상 크로마토그래피에서 모멘트 방법과 van Deemter 식을 이용한 고리형 아데노신 일인산의 분리특성 연구)

  • Lee, Il Song;Ko, Kwan Young;Kim, In Ho
    • Korean Chemical Engineering Research
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    • v.53 no.6
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    • pp.723-729
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    • 2015
  • The moment analysis of cyclic adenosine monophosphate (cAMP) was performed using chromatograms that were obtained with the pulse input method from an octadecyl silica (ODS) high-performance liquid chromatography (HPLC) column. The general rate (GR) model was employed to calculate the first absolute moment and the second central moment. Three important coefficients for moment analysis, which are molecular diffusivity ($D_m$), external mass transfer coefficient ($k_f$), and intra-particle diffusivity ($D_e$), were estimated by the Wilke-Chang equation, Wilson-Geankoplis equation, and comparing van Deemter equation to theoretical plate number equation, respectively. Experiments were conducted by various conditions of flow rates, methanol volume ratio of the mobile phase, and solute concentration. After the moment analysis, results were organized by van Deemter plots. Also van Deemter coefficients were compared each other to effect $H_{ax}$, $H_f$, and $H_d$ on height equivalent to a theoretical plate (HETP, $H_{total}$). The value of intraparticle diffusion ($H_d$) was the primary factor which makes for HETP whereas external mass transfer ($H_f$) was disregardable factor.

Design of MR dampers to prevent progressive collapse of moment frames

  • Kim, Jinkoo;Lee, Seungjun;Min, Kyung-Won
    • Structural Engineering and Mechanics
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    • v.52 no.2
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    • pp.291-306
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    • 2014
  • In this paper the progressive collapse resisting capacity of steel moment frames with MR dampers is evaluated, and a preliminary design procedure for the dampers to prevent progressive collapse is suggested. Parametric studies are carried out using a beam-column subassemblage with varying natural period, yield strength, and damper force. Then the progressive collapse potentials of 15-story steel moment frames installed with MR dampers are evaluated by nonlinear dynamic analysis. The analysis results of the model structures showed that the MR dampers are effective in preventing progressive collapse of framed structures subjected to sudden loss of a first story column. The effectiveness is more noticeable in the structure with larger vertical deflection subjected to larger inelastic deformation. The maximum responses of the structure installed with the MR dampers designed to meet a given target dynamic response factor generally coincided well with the target value on the conservative side.

Seismic Design of Steel Moment Connections with Welded Straight Haunch (용접 수평헌치로 보강된 철골 모멘트 접합부의 내진설계)

  • 이철호
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.10a
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    • pp.269-277
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    • 2000
  • This paper describes a seismic design procedure for steel moment connections with welded straight haunch. Recent test results showed that welding a straight haunch beneath the beam could be a viable solution for not only repair and rehabilitation of pre-Northridge moment connections but also new construction. Although a design procedure for the connection with triangular welded haunch has been developed recently, it is not applicable for the straight haunch moment connection because the force transfer mechanism is different. A simplified analytical model that considers the force interaction and deformation compatibility between the beam and haunch is briefly presented first based on the writer`s previous study. A generic design procedure as well as details that minimize the stress concentration at the haunch tip are also recommended.

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A Study on the Robust Speed Control Characteristics of Induction Motor Using State Observer (상태 관측기를 이용한 유도전동기의 강인한 속도 제어특성에 관한 연구)

  • 이성근;노창주;김윤식;오진석
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.5
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    • pp.503-511
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    • 1997
  • In 3 phase induction motor control system, the speed control using the load torque observer becomes robust against disturbances by means of a feed-forward control of the estimated load torque component. In case of variation of inertia moment, the estimated load torque has error because the observer uses the nominal inertia to estimate the load torque. And so, it is difficult to obtain good speed control characteristics. This paper has two study target strategy. First, we executes feed-forward control with the load torque observer when motor inertia has nominal value and compare it with conventional PI con¬trol. The second strategy estimates inertia moment error using the load torque observer when inertia moment change. The proposed two strategy is confirmed through the computer simulations and the experimental implementations by TMS320C31 microprocessor.

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Flexural performance of FRP-reinforced concrete encased steel composite beams

  • Kara, Ilker Fatih
    • Structural Engineering and Mechanics
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    • v.59 no.4
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    • pp.775-793
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    • 2016
  • This paper presents a numerical method for estimating the curvature, deflection and moment capacity of FRP-reinforced concrete encased steel composite beams (FRP-RCS). A sectional analysis is first carried out to predict the moment-curvature relationship from which beam deflection and moment capacity are then calculated. Comparisons between theoretical and experimental results of tests conducted elsewhere show that the proposed numerical technique can accurately predict moment capacity and deflection of FRP-RCS composite beam. The numerical results also indicated that beam ductility and stiffness are improved when encased steel is added to FRP reinforced concrete beams. ACI, ISIS and Bischoff models for deflection prediction compared well at low load, however, significantly underestimated the experimental results for high load levels.

The Prevention of The Longitudinal Deformation due to Fillet Welding by using Induction Heating (고주파가열에 의한 Built-up재의 용접종굽힘 변형방지)

  • Park Jeong-Ung;Chang Kyong-Ho;Lee Hae-Woo;An Gyu-Baek
    • Journal of Welding and Joining
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    • v.23 no.3
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    • pp.47-53
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    • 2005
  • Longitudinal deformation is produced by fillet welding during the fabrication of built-up beams and decreases productivity and quality because it needs an extra correcting process. The deformation is caused by welding moment, which is the value multiplied the welding shrinking farce by the distance from the neutral axis. This welding moment can be offset by generating a moment in the same magnitude and in an opposite direction by induction heating. The location and quantity of the induction heating are decided via experiments and simple equations. This study, first, clarifies the creation mechanism of the longitudinal deformation with FEM analysis. Then, we presents the preventive method of this deformation by induction heating basing on the mechanism and verifies its validity through analysis and experiments.