• Title/Summary/Keyword: Non-linear contact

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A Study on the Magnetic Suspension Type Linear Actuator for a Non-contact Surface Actuator (비접촉 평면구동기를 위한 자기 서스펜션방식 직선구동기)

  • Lee, Sang-Heon;Jung, Kwang-Suk;Baek, Yoon-Su
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.735-740
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    • 2001
  • With the development of micro-technology, the demand for micro actuator is increasing. But, it is difficult to achieve high resolution and long travel range simultaneously with the conventional actuators. So, the noncontact surface actuator was proposed. This actuator can realize high dynamic range and the planar motion without complex cross-axis linear slides. This paper describes a magnetically suspended linear actuator for developing a non-contact surface actuator. The operating principle and the structure of the proposed linear actuator are similar to switched reluctance motor, but the proposed linear actuator utilizes normal force and propulsion force simultaneously. With this characteristic, the system can be simpler than other non-contact surface actuator.

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Vibration Behavior of a Rotating Brush Roll in Contact with a Solid Roll (강체롤과 접촉 회전하는 브러시롤의 진동 현상)

  • 허주호
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.499-509
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    • 1997
  • During the process of oxide removal from work rolls in sheet metal manufacture, filamentary brushes frequently exhibit a bouncing or chatter behavior. The dynamics of this phenomenon is investigated through the development of expressions for the non-linear contact stiffness between the brush and the roll. With formulation of simple structural models, the time responses in the presence and absence of friction under random excitation are investigated. Possible solutions for the minimization or avoidance of this bouncing or chatter problem are also suggested.

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Analysis of slender structural elements under unilateral contact constraints

  • Silveira, Ricardo Azoubel Da Mota;Goncalves, Paulo Batista
    • Structural Engineering and Mechanics
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    • v.12 no.1
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    • pp.35-50
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    • 2001
  • A numerical methodology is presented in this paper for the geometrically non-linear analysis of slender uni-dimensional structural elements under unilateral contact constraints. The finite element method together with an updated Lagrangian formulation is used to study the structural system. The unilateral constraints are imposed by tensionless supports or foundations. At each load step, in order to obtain the contact regions, the equilibrium equations are linearized and the contact problem is treated directly as a minimisation problem with inequality constraints, resulting in a linear complementarity problem (LCP). After the resulting LCP is solved by Lemke's pivoting algorithm, the contact regions are identified and the Newton-Raphson method is used together with path following methods to obtain the new contact forces and equilibrium configurations. The proposed methodology is illustrated by two examples and the results are compared with numerical and experimental results found in literature.

A Study on the Formulation of the Interaction Problem between Upper Structure and the Ground under Consolidation (上部 構造와 下部 壓密地盤 間 상호작용 문제의 정식화에 대한 연구)

  • Lee, Oe-Duck
    • Journal of Ocean Engineering and Technology
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    • v.13 no.1 s.31
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    • pp.51-61
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    • 1999
  • When a structure is built on the ground under consolidation, the instant corresponding contact pressure which the upper structure exerts on the ground is established. But, as the consolidation of the ground proceeds, the contact pressure is changed because of the flexural rigidity of the upper structure. This varied contact pressure exerts influence on the consolidation behavior of the ground. And, this varied consolidation behavior exerts on the contact pressure in retum. This kind of interaction between the upper struture and the olwer ground under consolidation contimues till all the consolidation process in finished. So this problem cannot be defined as a linear problem. In this paper an approximation method which can analyse this non-linear interaction problem is proposed by the FEM.

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Modeling of Non-linear Leaf Spring for Commercial Vehicle (상용차량의 비선형 Hotchkiss 스프링 모델링)

  • 유승환;김영배
    • Korean Journal of Computational Design and Engineering
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    • v.7 no.1
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    • pp.1-8
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    • 2002
  • A Hotchkiss spring has been widely utilized for commercial vehicle. Usually, the Hotchkiss spring has non-linear characteristics, i.e. it has a piecewise spring stiffness as well as hysterisis phenomenon. Therefore, the modeling of the Hotchkiss spring requires many considerations to fulfill satisfactory vehicle kinematic and dynamic relationships. Also, the spring has difficulties in modeling for presenting contact mechanism. In this paper, the modeling technique for the Hotchkiss spring has been descried. The modeling covers non-linear characteristics as well as contact problems for multi-body dynamic simulation. The force-displacement results are compared with experimental and FEM ones. Also, the comparison between three link type leaf spring model and proposed one has been considered in this paper.

Symmetrically loaded beam on a two-parameter tensionless foundation

  • Celep, Z.;Demir, F.
    • Structural Engineering and Mechanics
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    • v.27 no.5
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    • pp.555-574
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    • 2007
  • Static response of an elastic beam on a two-parameter tensionless foundation is investigated by assuming that the beam is symmetrically subjected to a uniformly distributed load and concentrated edge loads. Governing equations of the problem are obtained and solved by pointing out that a concentrated edge foundation reaction in addition to a continuous foundation reaction along the beam axis in the case of complete contact and a discontinuity in the foundation reactions in the case of partial contact come into being as a direct result of the two-parameter foundation model. The numerical solution of the complete contact problem is straightforward. However, it is shown that the problem displays a highly non-linear character when the beam lifts off from the foundation. Numerical treatment of the governing equations is accomplished by adopting an iterative process to establish the contact length. Results are presented in figures to demonstrate the linear and non-linear behavior of the beam-foundation system for various values of the parameters of the problem comparatively.

A Study on Non-contact Measurement of 3D-Objects by Optical Probe Method (광촉침법에 의한 비접촉 3차원 형상측정에 관한 연구)

  • Kang, Young-June;Shin, Seong-Kook;Miyoshi, Takashi
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.4
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    • pp.119-126
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    • 1995
  • This paper presents a non-contact measuring system using one point measuring method to measure surface profiles of dies and clay models for practical use in the field of production engineering. The system has a laser beam probe similar to a measuring probe in a contact measuring system and CCD linear sensor used to detect 300mm measurement range, displacement of measured surfaces, from an origin. There is no mechanical interference between this measuring system and a measured surface in this system. In this measuring system, it was needed 500-600ms including data processing time to measure one point. The experiments showed that the standard deviation was 800 .mu.m and the reproducibility was also 100-210 .mu. m.

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An incremental convex programming model of the elastic frictional contact problems

  • Mohamed, S.A.;Helal, M.M.;Mahmoud, F.F.
    • Structural Engineering and Mechanics
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    • v.23 no.4
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    • pp.431-447
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    • 2006
  • A new incremental finite element model is developed to simulate the frictional contact of elastic bodies. The incremental convex programming method is exploited, in the framework of finite element approach, to recast the variational inequality principle of contact problem in a discretized form. The non-classical friction model of Oden and Pires is adopted, however, the friction effect is represented by an equivalent non-linear stiffness rather than additional constraints. Different parametric studies are worked out to address the versatility of the proposed model.

Seismic analysis of Roller Compacted Concrete (RCC) dams considering effect of viscous boundary conditions

  • Karabulut, Muhammet;Kartal, Murat E.
    • Computers and Concrete
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    • v.25 no.3
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    • pp.255-266
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    • 2020
  • This study presents comparation of fixed and viscos boundary condition effects on three-dimensional earthquake response and performance of a RCC dam considering linear and non-linear response. For this purpose, Cine RCC dam constructed in Aydın, Turkey, is selected in applications. The Drucker-Prager material model is considered for concrete and foundation rock in the nonlinear time-history analyses. Besides, hydrodynamic effect was considered in linear and non-linear dynamic analyses for both conditions. The hydrodynamic pressure of the reservoir water is modeled with the fluid finite elements based on the Lagrangian approach. The contact-target element pairs were used to model the dam-foundation-reservoir interaction system. The interface between dam and foundation is modeled with welded contact for both fixed and viscos boundary conditions. The displacements and principle stress components obtained from the linear and non-linear analyses are compared each other for empty and full reservoir cases. Seismic performance analyses considering demand-capacity ratio criteria were also performed for each case. According to numerical analyses, the total displacements and besides seismic performance of the dam increase by the effect of the viscous boundary conditions. Besides, hydrodynamic pressure obviously decreases the performance of the dam.

Analysis of impact response and damage in laminated composite cylindrical shells undergoing large deformations

  • Kumar, Surendra
    • Structural Engineering and Mechanics
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    • v.35 no.3
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    • pp.349-364
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    • 2010
  • The impact behaviour and the impact-induced damage in laminated composite cylindrical shell subjected to transverse impact by a foreign object are studied using three-dimensional non-linear transient dynamic finite element formulation. A layered version of 20 noded hexahedral element incorporating geometrical non-linearity is developed based on total Langragian approach. Non-linear system of equations resulting from non-linear strain displacement relation and non-linear contact loading are solved using Newton-Raphson incremental-iterative method. Some example problems of graphite/epoxy cylindrical shell panels are considered with variation of impactor and laminate parameters and influence of geometrical non-linear effect on the impact response and the resulting damage is investigated.