• Title/Summary/Keyword: Nonlinear Stiffness

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비선형 마찰과 강성을 이용한 자동화 시스템 개발 (Automatic System Development by Using Friction Force and Stiffness with Nonlinear Characteristic)

  • 이정욱;조용희;장용훈;김정하
    • 대한기계학회논문집A
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    • 제28권7호
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    • pp.1055-1063
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    • 2004
  • In this study, we developed an automatic veneer sorting system controlled by nonlinear friction and nonlinear stiffness. With these nonlinear characteristics, it was difficult to analysis and to control the system in the fast. However it is necessary to consider nonlinear characteristics to satisfy accurate and rapid control demand in these days. We used not only nonlinear friction but also nonlinear stiffness and combined both to control the system. An experimental device was designed with 4 AC servo-motors and 2 Sensors. Through a series of experiment, we found nonlinear friction characteristics among roller versus veneer and veneer versus veneer and nonlinear stiffness characteristics with stacked veneers. Finally, we showed that the proposed control algorithm was very effective for veneer sorting system with nonlinear friction and stiffness.

Nonlinear impact of negative stiffness dampers on stay cables

  • Shi, Xiang;Zhu, Songye
    • Structural Monitoring and Maintenance
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    • 제5권1호
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    • pp.15-38
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    • 2018
  • Negative stiffness dampers (NSDs) have been proven an efficient solution to vibration control of stay cables. Although previous studies usually assumed a linear negative stiffness behavior of NSDs, many negative stiffness devices produce negative stiffness with nonlinear behavior. This paper systematically evaluates the impact of nonlinearity in negative stiffness on vibration control performance for stay cables. A linearization method based on energy equivalent principle is proposed, and subsequently, the impact of two types of nonlinear stiffness, namely, displacement hardening and softening stiffness, is evaluated. Through the Hilbert transform (HT) of free vibration responses, the effects of nonlinear stiffness of an NSD on the modal frequencies, damping ratios and frequency response functions of a stay cable is also investigated. The HT analysis results validate the accuracy of the linearization method.

접선 강성방정식과 비선형 강성방정식을 이용한 비선형 해의 정확성 비교에 관한 연구 (A study on the Accurate Comparison of Nonlinear Solution Which Used Tangent Stiffness Equation and Nonlinear Stiffness Equation)

  • 김승덕;김남석
    • 한국공간구조학회논문집
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    • 제10권2호
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    • pp.95-103
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    • 2010
  • 본 논문에서는 비선형 강성방정식의 정확성 향상에 관해 연구한다. 대공간 구조물은 대경간을 가볍게 만들기 위해 두께비를 얇게 만들어야 하므로, 구조설계시 구조불안정 검토가 중요하다. 쉘형 구조물의 구조불안정은 초기 조건에 매우 민감하게 반응하며, 이는 대변형을 수반하는 비선형 문제에 귀착하게 된다. 따라서 구조불안정을 정확히 알아보기 위해 비선형 강성방정식의 정확성이 향상 되어야 한다. 본 연구에서는 스페이스 트러스를 해석 모델로 하며 접선 강성방정식과 비선형 강성방정식의 두 이론을 프로그램으로 작성하여 비선형 해석을 수행한다. 두 이론의 해석 결과를 비교 고찰하여 비선형 강성방정식의 정확성 및 수렴성 향상에 대해 검토 한다.

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스피커 지지부 강성과 Force Factor의 비선형계수 추출 (Determination of the Nonlinear Parameters of Stiffness and Force Factor of the Loudspeaker)

  • 두세진;성굉모
    • 한국음향학회지
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    • 제14권5호
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    • pp.29-35
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    • 1995
  • 진동판 변위의 비선형적 운동에 의해 발생하는 스피커의 비선형왜곡은 음질을 열화시킨다. 이러한 비선형왜곡은 저주파 대역의 경우 주로 스피커의 지지부의 강성과 force factor의 비선형 특성에 의해 발생한다. 본 논문에서는 진동판 변위에 따라 변화하는 스피커의 비선형 강성과 비선형 force factor를 2차함수로 모델링하고 각각의 계수를 결정하는 방법에 대해 연구하였다. 진동판에 질량을 부가하여 동작점을 이동시키는 기계적인 방법을 사용하여 강성과 force factor 간의 커플링을 배제하였으며, 여러 동작점에서의 공진주파수를 측정함으로써 비선형 강성의 계수를 추출하였다. 비선형 force factor의 계수는 공진주파수에서 스피커에의 입력전압, 입력전류, 그리고 진동판 변위를 측정하여 얻은 그래프를 curve fitting 함으로써 구하였다.

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수직방향 수동 영강성 제진기의 비선형 진동 특성 (Nonlinear vibration characteristics of a vertical passive zero stiffness isolator)

  • 김경홍;안형준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.1259-1265
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    • 2007
  • This paper presents nonlinear vibration characteristics of a vertical passive zero stiffness isolator. The passive isolator can achieve zero stiffness through buckling of notched flexure caused by a compressive force. First, a simulation model of the isolator was built based on elastic beam theory. As increasing the compression force, time and frequency responses of the isolator were simulated. In addition, further nonlinear vibration characteristics were investigated through a bifurcation diagram and a Poincare's map, which shows that even chaostic vibration could happen. The simulations show that as the compressive force increases, the stiffness goes close to zero and the nonlinear characteristic becomes stronger to have a great effect on the isolation performance.

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강성등가하중을 이용한 Newton-Raphson Iteration 개선 (Improvement of Newton-Raphson Iteration Using ELS)

  • 김치경;황영철
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2006년도 춘계 학술발표회 논문집 제3권1호(통권3호)
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    • pp.170-174
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    • 2006
  • This paper presents a new nonlinear analysis algorithm which uses the equivalent nodal load for the element stiffness. The equivalent nodal load represents the influence of the stiffness change such as the addition of elements, the deletion of elements, and/or the partial change of element stiffness. The nonlinear analysis of structures using the equivalent load improves the efficiency very much because the inverse of the structural stiffness matrix, which needs a large amount of computation to calculate, is reused in each loading step. In this paper, the concept of nonlinear analysis using the equivalent load for the element stiffness is described and some numerical examples are provided to verify it.

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Numerical modelling of nonlinear behaviour of prestressed concrete continuous beams

  • Lou, Tiejiong;Lopes, Sergio M.R.;Lopes, Adelino V.
    • Computers and Concrete
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    • 제15권3호
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    • pp.373-389
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    • 2015
  • The development of a finite element model for the geometric and material nonlinear analysis of bonded prestressed concrete continuous beams is presented. The nonlinear geometric effect is introduced by the coupling of axial and flexural fields. A layered approach is applied so as to consider different material properties across the depth of a cross section. The proposed method of analysis is formulated based on the Euler-Bernoulli beam theory. According to the total Lagrangian description, the constructed stiffness matrix consists of three components, namely, the material stiffness matrix reflecting the nonlinear material effect, the geometric stiffness matrix reflecting the nonlinear geometric effect and the large displacement stiffness matrix reflecting the large displacement effect. The analysis is capable of predicting the nonlinear behaviour of bonded prestressed concrete continuous beams over the entire loading stage up to failure. Some numerical examples are presented to demonstrate the validity and applicability of the proposed model.

비선형강성의 유연관절로봇을 위한 가속도기반 비선형관측기 설계 (Design of Nonlinear Observer for Flexible Joint Manipulator with Nonlinear Stiffness Based on Acceleration)

  • 이승준;김형종;남경태;국태용
    • 전기학회논문지
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    • 제64권3호
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    • pp.451-457
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    • 2015
  • In this paper, we consider the observer design problem that truly reflects the nonlinear stiffness of the manipulators. The two key ideas of our design are that (a) estimation error dynamics of the manipulator equipped with accelerometer dose not dependent on nonlinearities at the link part, when the measured signals are the motor position and the output of the accelerometer and (b) the nonlinear stiffness is indeed a Lipschitz function. In order to effectively compensate the nonlinear stiffness, the gain of the proposed observer is carefully chosen from the ARE(algebraic Riccati equations) which depend on Lipschitz constant. Comparative simulation result verifies the effectiveness of the proposed solution.

로봇의 비선형 임피던스 힘제어에 대한 연구 (On analysis of nonlinear impedance force control for robot manipulators)

  • 정슬;이지홍
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.560-563
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    • 1997
  • The conventional impedance control has been known to have the following problems: it has lack of specifying force directly and unknown environment stiffness has to be known priori in order to specify the reference trajectory. In this paper, new impedance force control that can control a desired force directly under unknown stiffness is proposed. A new nonlinear impedance function is developed based on estimation of unknown stiffness from force and position measurements. The nonlinear characteristics of the proposed impedance function are analyzed based on unknown environment position. Simulation studies with robot manipulator are carried out to test analytical results.

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강성측정법을 이용한 경제적인 비선형해석 (ECONOMICAL NONLINEAR RESPONSE ANALYSIS USING STIFFNESS MEASURE APPROACH)

  • 장극관
    • 전산구조공학
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    • 제9권4호
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    • pp.219-228
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    • 1996
  • 힌지가 발생하는 철근콘크리트 골조구조물의 비선형해석시에 부재강성값을 사용하는 새로운 방법에 대한 연구이다. 본 연구에서는 부재의 비선형상태에서 힌지영역의 접선강성을 평가하고 효율적으로 이용하는 방법을 제시하였다. 비선형응답을 얻기위해 고유벡터를 이용하는 해석법은 비선형범위에서 시각증분에 따라 강성이 변하고 따라서 고유벡터군도 그 변하는 수만큼 재산정 하여야 하기 때문에 일반적인 해석방법이 아니다. 그러나 부재의 비선형상태를 나타내는 강성값, 즉 고유벡터의 산정횟수를 줄이며 산정된 기존값을 적절하게 재사용하여 해석의 효율성을 입증하였다. 지진하중을 받는 철근콘크리트 골조구조물의 비선형 해석의 경제성은 고유벡터의 산정횟수에 의존되기 때문에 고유벡터의 산정횟수를 감소시키며 신뢰성있는 응답을 구하여 본 해석법의 효율성을 입증하였다.

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