• 대한기계학회논문집A
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• 제21권7호
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• pp.1030-1041
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• 1997

The control model in the tandem cold rolling mill consists of many mathematical theories and is used to calculate the reference values such as the roll gap and the rolling speed for good operation of rolling mill. But, the control model used presently has a problem causing inaccurate prediction of the rolling force. By the parameter identification, it was found that the main factor causing inaccurate prediction of the rolling force was incorrect modeling of the friction coefficient and the flow stress. To get rid of the erroneous factor new adaptive schemes are suggested in this work. Those are a long-time adaptation by the iterative least-square method and a short-time adaptation by the recursive weighted least-square method respectively. The new equations for the friction coefficient and the flow stress are derived by applying the suggested adaptive algorithms. Through the on-line test in an actual mill, it is proved that the rolling force predicted by the new equations is more accurate than the one by the existing equations ever used.

• Journal of applied mathematics & informatics
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• 제41권3호
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• pp.487-510
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• 2023

We propose a mathematical model which describes the frictional contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material is described with a linearly electro-viscoelastic constitutive law with long term memory. The mechanical process is dynamic and the electrical conductivity coefficient depends on the total slip rate, the friction is modeled with Tresca's law which the friction bound depends on the total slip rate with taking into account the electrical conductivity of the foundation both. The main results of this paper concern the existence and uniqueness of the weak solution of the model; the proof is based on results for second order evolution variational inequalities with a time-dependent hemivariational inequality in Banach spaces.

• 한국정밀공학회지
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• 제24권8호통권197호
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• pp.81-88
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• 2007

This paper presents the development of a new inchworm actuation system using the shearing deformation of the piezoelectric actuators. In this new actuation system, piezoelectric shearing/expanding actuators, an inertial mass and an advanced preload system are configured innovatively to generate the motion of an inertial mass. There are two modes in the new actuation system: (1) stick mode, and (2) clamp mode. In stick mode, the deformation of the piezoelectric shearing actuators drives an inertial mass by means of the friction force at their contact interface. On the other hand, in clamp mode, the piezoelectric expanding actuators provide the gripping force to an inertial mass and, as a result, eliminate its backward motion following the rapid backward deformation of the piezoelectric shearing actuators. To investigate the feasibility of the proposed new actuation system, the experimental system is built up, and the static performance evaluation and dynamic analysis are conducted. The open-loop performance of the linear motion of the proposed new actuation system is evaluated. In dynamic analysis, the mathematical model for the contact interface is established based on the LuGre friction model and the equivalent parameters are identified.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2002년도 추계학술대회논문초록집
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• pp.331.1-331
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• 2002

Four degrees of freedom mathematical model is presented to describe the fundamental mechanisms of the disc brake squeal noise. A contact parameter is introduced to describe the coupling between the in-plane and the out-of-plane motions. The friction coeficient including "relative velocity" and ′normal force" can be generally formulated as the form of multiplication with polynominal parameters(${\beta}$, ${\gamma}$). (omitted)

• 제어로봇시스템학회논문지
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• 제10권10호
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• pp.887-898
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• 2004

In this paper a mathematical framework fur deriving acceleration bounds from given joint torque limits of multiple cooperating robots are described. Especially when the different frictional contacts for every contact are assumed and the torque limits are given in 2-norm sense, we show that the resultant geometrical configuration for the acceleration is composed of corresponding parts of ellipsoids. Since the frictional forces at the contacts are proportional to the normal squeezing forces, the key points of the work includes how to determine internal forces exerted by each robot in order not to cause slip at the contacts while the object is carried by external forces. A set of examples composed of two robot systems are shown with point-contact-with-friction model and insufficient or proper degree of freedom robots.

• 소성∙가공
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• 제11권5호
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• pp.394-404
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• 2002

The drawbead model for a three-dimensional a finite element analysis of sheet metal forming processes is developed. The mathematical models of the basic drawbeads like circular drawbead, stepped drawbead, and squared drawbaed are first derived using the bending theory, belt-pulley equation, and Coulomb friction law. Next, the experiments for finding the drawing characteristics of the drawbead are performed. Based on mathematical models and drawing test results, expert models of basic drawbeads are then developed employing a linear multiple regression method. For the expert models of combined drawbeads such as the double circular drawbead, double stepped drawbead, circular-and-stepped drawbead, etc., those of the basic drawbeads are summed. Finally, in order to verify the expert models developed, the drawing characteristics calculated by the expert models of the double circular drawbead and circular-and-stepped drawbead are compared with those obtained from the experiments. The predictions by expert models agree well with the measurements by experiments.

• 전력전자학회논문지
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• 제9권6호
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• pp.612-619
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• 2004

회전형 전동기와 볼스크류 및 타이밍 벨트를 이용한 서보 시스템은 NC, 가공기, 로봇 및 공장 자동화를 포함하여 산업 시스템 전반에 널리 사용되고 있다. 하지만, 동력의 전달에서 발생하는 비선형적인 마찰 및 댐핑현상은 제어 시스템 전체의 성능을 감소시키고, 특히 저속 정역 운전에서 그 영향이 크게 나타난다. 본 논문에서는 서보 제어시스템에서 발생하는 비선형적인 마찰 토크의 보상을 위해 가중치를 가지는 이중 제어 구조를 적용하였다. 본 논문에서 제안된 이중 제어 구조는 서보 제어 시스템에서 널리 사용되는 PI 속도 제어기 내부에 비선형적인 마찰 토크의 영향을 보상하는 내부 제어기를 가지는 구조이다. 특히, 내부의 제어기는 마찰 토크에 의한 시스템의 속도오차에 대하여 가중치를 가지는 구조로 설계되어 있고, 제어기의 이득은 외부 속도 제어기의 이득에 대하여 비례적으로 적용되므로, 안정성이 매우 높고 구조가 매우 간단하다. 본 논문에서 제안된 이중 제어 구조에 의한 비선형 마찰 토크 보상 방식은 시뮬레이션 및 실험을 통하여 그 성능을 검증한다.

• 한국공작기계학회논문집
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• 제11권3호
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• pp.65-71
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• 2002

Friction welding has may merits such as energy efficiency, simple processing, etc. but it is difficult to obtain good welding at the welded interfaces and heat affected zone. It is discovered that stress singularity exists at the interferes and heat affected zone. The computer program based on boundary element method is utilized in this study. A mathematical model is implemented based on results from several experiments performed at and around the welded interfaces and heat affected zone of disimilar metals under static and dynamic loadings. This stay is to investigate the characteristics of the deformation and fracture behavior around interfaces for friction welded materials under static tensile load. Also, the stress distribution at the tip of crack is analyzed by using BU based on Kelvin's solution of 2-dimensional binding zone. The results of BEM are identical with those in case of considering interfaces of both heat affected zone. Also, stress singularity at the tip of interfaces appears when the elastic modulus ratio is 1.07.

• 항공우주시스템공학회지
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• 제9권4호
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• pp.23-30
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• 2015

The focal plane image stabilization for a camera is one of the most effective method that can increases the digital camera's image quality by compensating the vibration disturbance. The optical image stabilization can be implemented by making the focal plane to trace the path of incident light. To control the position of focal plane motion compensating stage precisely, a nonlinear control algorithm has been applied by considering coulomb friction which is nonlinear behavior of the compensator system. In our study, we have analyzed the hand shaking vibration using the gyro sensor, and made a mathematical model of compensating stage containing optical sensor and piezo-actuator. Then the nonlinear control algorithm has been designed and its performance has been verified by experiment. In this study, a friction driven peizo-electric actuator with $1{\mu}m$ resolution and 10mm/s speed has been used for stage movement.

• 한국구조물진단유지관리공학회 논문집
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• 제21권6호
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• pp.106-112
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• 2017

본 연구에서는 콘크리트 시공줄눈 면의 전단마찰 내력을 합리적으로 평가하기 위하여 콘크리트 소성론의 상계치 이론에 기반한 수학적 모델을 제시하였다. 전단면에서 횡보강근의 전단전달에 대한 과대평가를 피하기 위하여 시공줄눈 면에서의 하중전달에 대한 스트럿-타이 모델에서 콘크리트 할렬 및 압괴의 한계상태로부터 전단마찰 내력의 상한값을 유도하였다. 제시된 모델은 시공줄눈 면에서 콘크리트 점착력과 마찰계수를 거친 면의 경우 각각 $0.27(f_{ck})^{0.65}$와 0.95를, 부드러운 면의 경우 각각 $0.11(f_{ck})^{0.65}$와 0.64로 결정하였는데, 여기서 $f_{ck}$는 콘크리트 압축강도이다. 직접전단에 대한 기존 문헌으로부터 수집한 146 실험데이터와의 비교로부터, 제시된 모델은 AASHTO 및 fib 2010 식에 비해 예측 값과 실험 값들의 비의 표준편차 및 변동계수에 대해 더 낮은 값을 보였다. 특히 전단마찰 내력 평가에서 기준식들의 상당한 과소평가 경향과 달리 제시된 모델은 실험결과와 잘 예측하였다.