• Title/Summary/Keyword: deflection

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A Compensation Control Method Using Neural Network for Mechanical Deflection Error in SCARA Robot with Random Payload

  • Lee, Jong Shin
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.3
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    • pp.7-16
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    • 2011
  • This study proposes the compensation method for the mechanical deflection error of a SCARA robot. While most studies on the related subject have dealt with the development of a control algorithm for improvement of robot accuracy, this study presents the control method reflecting the mechanical deflection error which is predicted in advance. The deflection at the end of the gripper of SCARA robot is caused by the self-weights and payloads of Arm 1, Arm 2 and quill. If the deflection is constant even though robot's posture and payload vary, there may not be a big problem on robot accuracy because repetitive accuracy, that is relative accuracy, is more important than absolute accuracy in robot. The deflection in the end of the gripper varies as robot's posture and payload change. That's why the moments $M_x$, $M_y$ and $M_z$ working on every joint of a robot vary with robot's posture and payload size. This study suggests the compensation method which predicts the deflection in advance with the variations in robot's posture and payload using neural network. To do this, I chose the posture of robot and the payloads at random, found the deflections by the FEM analysis, and then on the basis of this data, made compensation possible by predicting deflections in advance successively with the variations in robot's posture and payload through neural network learning.

Deflection ductility of RC beams under mid-span load

  • Bouzid, Haytham;Rabia, Benferhat;Daouadji, Tahar Hassaine
    • Structural Engineering and Mechanics
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    • v.80 no.5
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    • pp.585-594
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    • 2021
  • Ductility is very important parameter in seismic design of RC members such as beams where it allows RC beams to dissipate the seismic energy. In this field, the curvature ductility has taken a large part of interest compared to the deflection ductility. For this reason, the present paper aims to propose a general formula for predicting the deflection ductility factor of RC beams under mid-span load. Firstly, the moment area theorem is used to develop a model in order to calculate the yield and the ultimate deflections; then this model is validated by using some results extracted from previous researches. Secondly, a general formula of deflection ductility factor is written based on the developed deflection expressions. The new formula is depended on curvature ductility factor, beam length, and plastic hinge length. To facilitate the use of this formula, a parametric study on the curvature ductility factor is conducted in order to write it in simple manner without the need for curvature calculations. Therefore, the deflection ductility factor can be directly calculated based on beam length, plastic hinge length, concrete strength, reinforcement ratios, and yield strength of steel reinforcement. Finally, the new formula of deflection ductility factor is compared with the model previously developed based on the moment area theorem. The results show the good performance of the new formula.

Large deflection analysis of orthotropic thin circular plates using differential quadrature (미분구적법을 이용한 직교이방성 원판의 대변형 해석)

  • 이영신;박복선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.387-395
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    • 1991
  • Large deflection behavior of cylindrically orthotropic thin circular plates is investigated by the numerical technique of differential quadrature. Governing equations are derived in terms of transverse deflection and stress function and a Newton-Raphson technique is used to solve the nonlinear systems of equations. For small values of degree of differential quadrature (N.leq.13), as the degree of differential quadrature increases, the center deflection converges. However, as N increases further, the center deflection diverges by ill-conditioning in the weighting coefficients. As the orthotropic parameter increases, the center deflection decreases and behaves linear for the loads. At center, the stress is affected mainly by orthotropic parameter, while the stress is affected mainly by boundary condition at edge.

Machining Characteristics of Hemisphere Shape by Ball Endmilling (볼엔드밀가공에 의한 구면형상의 가공특성)

  • Wang, Duck Hyun;Kim, Won Il;Lee, Yun Kyeong
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.1 no.1
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    • pp.5-14
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    • 2002
  • Hemisphere shapes were machined for different tool paths and machining conditions with ball endmill cutters. It was also found out how feedrate affect the precision of the machining and also tried to study the most suitable feedrate in specific cutting condition. Tool deflection, cutting forces and shape accuracy were measured according to the inclination position of the sculptured surface. As the decreasing of inclination position angle, the tool deflection was increased due to the decreased cutting speed when the cutting edge is approaching toward the center. Tool deflection when upward cutting IS obtained less than that of downward cutting and down-milling in upward cutting showed the least tool deflection for the sculptured surface. For down-milling, the cutting resistance of the side wall direction is larger than that of feed direction. It was found that the tool deflection is getting better as tool path is going to far from the center for convex surface.

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The Study on the Deflection of the Rectangular Plates including the rectangular rigid body with respect to the boundary conditions (사각형 강체를 포함한 사각평판의 경계조건에 따른 처짐 연구)

  • 한동섭;심재준;김태형;안찬우;한근조
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.869-872
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    • 2002
  • This paper deals with the effect of reinforced plate on the deflection of the rectangular plate, when the rectangular plate is reinforced with rectangular rigid body at the centroid of the plate. For Two boundary conditions such as simple supported and clamped boundary, this study derives deflection formula of reinforced plates with respect to the stiffness ratio and the length ratio of rigid body using the least square method. The results are as follows: 1. As $r_e$ $\geq$ 1000, the maximum deflection with respect to $r_e$ converges into constant value. 2. Deflection formula with respect to $r_e$ is derived as the fifth order polynomial.

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Effects of the Helix Angle on the Tool Deflection in End Milling (엔드밀 가공시 헬릭스각이 공구변위에 미치는 영향)

  • 맹민재;이성찬;정준기
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.373-377
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    • 2002
  • In the end milling operation the deflection of the cutter is an important factor affecting the accuracy of machining with implications on the selection of cutting parameters and economics of the operation. The deflection of the end mill was studied both experimentally with strain gauge, tool dynamometer, laser measuring apparatus and on a finite element model of the cutting using ANSYS software. The deflection of machining tool with various helix angles was studied with FEM simulation and experiment. ANSYS analysis performed on the finite element model of the end mill provides deflection results which agree within 15.0% with the experimental ones.

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Analysis on the Bending Deflection of the Blank Holder in Automotive Body Panel Draw Die (차체용 드로우 다이의 블랭크 홀더 굽힘 변형 해석)

  • 인정제;신용승;김헌영
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.3
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    • pp.68-74
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    • 2001
  • In the drawing of large size automotive panels, elastic deflection of die components is induced by the contact force between them. The deflection is nonuniform and locally distributed, and results in nonuniform material flow. In order to arrange such a nonuniform die gap, a correcting operation, so called die spotting, is inevitable, which requires trial and error works and consuming time. A prediction of the bending deflection prior to a try-out must be useful to reduce the die spotting time. In this study, drawing process of a front fender is simulated first. and the deflection of the blank holder is calculated from the contact force imposing on th blank holder. The balance block heights ensuring a uniform deflection are optimized by the analysis and design of experiments.

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Prediction of Tool Deflection in Ball-end Milling Process (볼 엔드밀 공정에서 공구변형 예측에 관한 연구)

  • Lee Kyo-Seung;Namgung Jae-Kwan;Park Sung-Jun
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.3
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    • pp.8-15
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    • 2005
  • A new measuring method for tool deflection has been developed when sculptured surface is processed in ball-end milling. Since the vibration due to cutting forces has low frequencies, an electromagnetic sensor is used for measuring the exact vibration displacement. The amplitude and direction of vibration displacement during the cutting process is presented as orbital plot. In this study, it assumes that the vibration displacement is proportional to the length of cutting chip. Therefore, tool deflection is calculated by summing up the vibration displacement of unit chip length for engaged chip length. In addition, computer programs has been developed to predict the deflection of tools when machining sculptured surface. This developed program predicts the tool deflection per block of NC data, so that it can easily identify the parts which have the possibility of machining errors.

Design and Fabrication of an Electrostatic Microplate Resonator (정전형 미소 평판 공진자의 설계 및 제작)

  • Jeong, Ok-Chan;Yang, Sang-Sik
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.48 no.6
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    • pp.494-502
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    • 1999
  • This paper represents an electrostatic micro plate resonator which consists of a rigid plate suspended with four bridges and a counter electrode. The bridges of the resonator are designed corrugated so that the residual stress are released. The FEM simulation results confirmed that the deflection characteristic of the corrugated bridge is hardly affected by the initial residual tensile stress. One resonator with the corrugated bridges and the other with the flat bridges were fabricated by the boron diffusion process and the anisotropic etch process. The vertical deflection of the fabricated electrostatic resonator was measured with a laser vibrometer, and the data were compared with the calculation results. The deflection of the resonator with the flat bridges is smaller than the deflection of that with the corrugated ones because of the residual stress. The residual stress release effect was confirmed by the fact that the measured deflection of the resonator with the corrugated bridges in close to the calculated deflection of the resonator with the flat ones with the initial stress neglected.

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Large deflection analysis of point supported super-elliptical plates

  • Altekin, Murat
    • Structural Engineering and Mechanics
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    • v.51 no.2
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    • pp.333-347
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    • 2014
  • Nonlinear bending of super-elliptical plates of uniform thickness under uniform transverse pressure was investigated by the Ritz method. The material was assumed to be homogeneous and isotropic. The contribution of the boundary conditions at the point supports was introduced by the Lagrange multipliers. The solution was obtained by the Newton-Raphson method. The influence of the location of the point supports on the central deflection was highlighted by sensitivity analysis. An approximate relationship between the central deflection and the super-elliptical power was obtained using the method of least squares. The critical points where the maximum deflection may develop, and the influence of nonlinearity were highlighted. The nonlinearity was found to be sensitive to the aspect ratio. The accuracy of the algorithm was validated by comparing the central deflection with the solutions of elliptical and rectangular plates.