• Title/Summary/Keyword: Force relaxation function

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A Study of Lianis Model for Elastomeric Bushing in Axial Mode (일래스토메릭 부싱의 축방항모드에 대한 리아니스 모델연구)

  • Lee, Seong-Beom
    • Elastomers and Composites
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    • v.37 no.3
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    • pp.151-158
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    • 2002
  • An elastomeric bushing which has been considered in this research is a device used in automotive suspension systems to reduce the forte transmitted iron the wheel to the frame of the vehicle. A bushing is modeled at a hollow cylinder which is bonded to a solid metal shaft at its inner surface and a metal sleeve at its outer surface. Lianis constitutive equation for a nonlinear viscoelastic incompressible material is used to model the elastomeric material of the bushing. It is used to derive a force-displacement relation for axial response of the bushing. The displacement dependent force relaxation function for the bushing is obtained from the ramp displacement control tests with an extrapolation method. This is compared with the exact result obtained from the step displacement control test and the results are in very good agreement.

An Experimental Study of Nonlinear Viscoelastic Bushing Model for Axial Mode

  • Lee, Seong-Beom;Shin, Jung-Woog;Alan S. Wineman
    • Journal of Mechanical Science and Technology
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    • v.17 no.9
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    • pp.1324-1331
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    • 2003
  • A bushing is a device used in automotive suspension systems to cushion the force transmitted from the wheel to the frame of the vehicle. A bushing is essentially a hollow cylinder which is bonded to a solid metal shaft at its inner surface and a metal sleeve at its outer surface. The shaft is connected to the suspension and the sleeve is connected to the frame. The cylinder provides the cushion when it deforms due to relative motion between the shaft and sleeve. The relation between the force applied to the shaft or sleeve and its deformation is nonlinear and exhibits features of viscoelasticity. An explicit force-displacement relation has been introduced for multi-body dynamics simulations. The relation is expressed in terms of a force relaxation function and a method of determination by experiments on bushings has been developed. Solutions allow for comparison between the force-displacement behavior by experiments and that predicted by the proposed method. It is shown that the predictions by the proposed force-displacement relation are in very good agreement with the experimental results.

An Experimental Study of Pipkin-Rogers Model for Automotive Bushing (자동차 부싱에 대한 Pipkin-Rogers 모델의 실험적 연구)

  • Kim, Sung-Jin;Lee, Su-Young;Lee, Seong-Beom
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.11 s.176
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    • pp.118-124
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    • 2005
  • An automotive bushing is a device used in automotive suspension systems to reduce the load transmitted from the wheel to the frame of the vehicle. A bushing is a hollow cylinder, which is bonded to a solid steel shaft at its inner surface and a steel sleeve at its outer surface. The relation between the force applied to the shaft and the relative deformation of a bushing is nonlinear and exhibits features of viscoelasticity. In this paper, an automotive bushing is regarded as nonlinear viscoelastic incompressible material. Instron 8801 equipment was used for experimental res earch and ramp-to-constant displacement control test was used for data acquisition. Displacement dependent force relaxation function was obtained from the force extrapolation method and expressed as the explicit combination of time and displacement. Pipkin-Rogers model, which is the direct relation of force and displacement, was obtained and comparison studies between the experimental results and the Pipkin-Rogers results were carried out.

A Study of A Nonlinear Viscoelastic Model for Elastomeric Bushing in Torsional Mode (일래스토메릭 부싱의 회전방향 모두 비선형 점탄성 모델연구)

  • Lee, Seong-Beom
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.2 s.95
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    • pp.194-200
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    • 1999
  • An elastomeric bushing is a device used in automotive suspension systems to cushion the force transmitted from the wheel to the frame of the vehicle. A bushing is an elastomeric hollow cylinder which is bonded to a solid metal shaft at its inner surface and a metal sleeve at its outer surface. For axial motion case, the relation between the force applied to the shaft and their relative displacement was considered. In this paper, the relation between the moment applied to the shaft and their relative deformation(angle of rotation) is considered for the torsional motion case. Numerical solutions of the boundary value problem represent the exact bushing response for use in the method for determining the moment relaxation function of the bushing. Solutions also allow for comparison between the exact moment-deformation behavior and that predicted the proposed model. It is shown that the predictions of the proposed moment-deformation relation are in very good agreement with the exact results.

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Development of Drink from Composition with Medicinal Plants and Evaluation of its Physiological Function in Aorta Relaxation (한약재를 이용한 음료의 개발 및 혈관개선에 미치는 기능성 평가)

  • Han Jong Hyun;Song You Jin;Park Sung Hye
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.18 no.4
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    • pp.1078-1082
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    • 2004
  • The purpose of this study was to investigate the possibility of medicinal plants application as an edible functional food resources. We carried out to develop a traditional functional beverage by using hot-water extraction of 4 medicinal plants(Polygonatun sibiricum, Ophiopogonis radix, Lycii fructus, Schizandriae fructus) and we examined the effects of drink on physiological function in aorta relaxation. Thus, the effect of developed beverage on phenylephrine induced contraction of isolated rat thoracic aorta. Contractile force was measured with force displacement transducer under 1.5g loading tension. Brix, pH and titratable acidity of developed drink were 9.5%, 3.3 and 0.22%. The approximate nutritional composition of beverage was carbohydrate, 5.98%, crude protein, 0.70%, crude fat, 0.20% and crude ash, 0.20%. Developed beverage contained K(4.00 ㎎%), Na(3.68 ㎎%), Ca(2.54 ㎎%), Mg(1.60 ㎎%) and Fe(0.29㎎%). The contraction forces by injection of phenylephrine in isolated thoracic aorta were significantly low in each experimental groups compared with control groups, These results that developed drink with medicinal plants can be used as a functional material to decrease aorta contraction.

A Study of A Nonlinear Viscoelastic Model for Elastomeric Bushing in Automotive Suspension System (I) -Axial Mode- (차량현가장치용 일래스토메릭 부시으이 비선형점탄성 모델연구 (I) -축 방향 모드-)

  • 이성범
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.5
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    • pp.154-161
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    • 1999
  • An elastomeric bushing is a device used in automotive suspension systems to cushion the force transmitted from the wheel to the frame of the vehicle. A bushing is an elastomeric hollow cylinder which is bonded to a solid metal shaft at its inner surface and a metal sleeve at its outer suface. The relation between the force applied to the shaft or sleeve and their relative deformation is nolinear and exhibits features of viscoelasticity. Numerical solutions of the boundary value problem represent the exact bushing response for use in the method for determining the force relaxation function of the bushing. The new nonlinear viscoelastic bushing model, which is called Pipkin-Rogers model, is proposed and it is shown that the predictions of the proposed force-displacement relation are in very good agreement with the exact results. This new bushing model is thus very suitable for use in multi-body dynamics codes. The success of the present study for axial mode response suggests that the same approach be applied to other modes, such as torsional or radial modes.

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Estimation of Long Term Clamping Force of High Strength Bolts By Coating Thickness Parameters of Slip Faying Surfaces (미끄럼 표면 도막두께변수에 따른 고력볼트 장기축력 예측)

  • Nah, Hwan-Seon;Lee, Hyeon-Ju;Ryoo, Jae-Yong;Choi, Sung-Mo
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.3 no.1
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    • pp.8-15
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    • 2012
  • The initial clamping forces of high strength bolts depending on different faying surface conditions drop within 1,000 hours regardless of loading, any other external force or loosening of the nut. This study is focused on an expectation model for relaxation of high strength bolt, which is confined to creep on coated faying surfaces after initial clamping. The range of this experiment is limited to estimate the relaxation of bolted joints coated by inorganic zinc primer. The candidate bolts were dacro-coated tension control bolts. The parameters of coated thickness for the faying surface were 96, 168,and $226{\mu}m$ respectively. From experiments, it exhibited that the logarithmic function for creep strain was derived due to the parameter of coating thickness. By using the creep strain, subsequently the quantitative model for estimating long term relaxation of high strength bolt can be taken with the elapsed time. The experimental results showed that the relaxation after the initial clamping of high strength bolt rose to a much higher range from 10% to 18% due to creep of the coating as the coating thickness was increased. This study showed that the clamping force reflecting relaxation after the elapse of constant time can be calculated from the initial clamping force of high strength bolt.

Musculotendon Model to Represent Characteristics of Muscle Fatigue due to Functional Electrical Stimulation (기능적 전기자극에 의한 근육피로의 특성을 표현하는 근육 모델)

  • Lim, Jong-Kwang;Nam, Moon-Hyon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.8
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    • pp.1046-1053
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    • 1999
  • The musculotendon model is presented to show the declines in muscle force and shortening velocity during muscle fatigue due to the repeated functional electrical stimulation (FES). It consists of the nonlinear activation and contraction dynamics including physiological concepts of muscle fatigue. The activation dynamics represents $Ca^{2+}$ binding and unbinding mechanism with troponins of cross-bridges in sarcoplasm. It has the constant binding rate or activation time constant and two step nonlinear unbinding rate or inactivation time constant. The contraction dynamics is the modified Hill type model to represent muscle force - length and muscle force - velocity relations. A muscle fatigue profile as a function of the intracellular acidification, pH is applied into the contraction dynamics to represent the force decline. The computer simulation shows that muscle force and shortening velocity decline in stimulation time. And we validate the model. The model can predicts the proper muscle force without changing its parameters even when existing the estimation errors of the optimal fiber length. The change in the estimate of the optimal fiber length has an effect only on muscle time constant in transient period not on the tetanic force in the steady-state and relaxation periods.

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Development of A Methodology for In-Reactor Fuel Rod Supporting Condition Prediction (노내 연료봉 지지조건 예측 방법론 개발)

  • Kim, K. T.;Kim, H. K.;K. H. Yoon
    • Nuclear Engineering and Technology
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    • v.28 no.1
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    • pp.17-26
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    • 1996
  • The in-reactor fuel rod support conditions against the fretting wear-induced damage can be evaluated by residual spacer grid spring deflection or rod-to-grid gap. In order to evaluate the impact of fuel design parameters on the fretting wear-induced damage, a simulation methodology of the in-reactor fuel rod supporting conditions as a function of burnup has been developed and implemented in the GRIDFORCE program. The simulation methodology takes into account cladding creep rate, initial spring deflection, initial spring force, and spring force relaxation rate as the key fuel design parameters affecting the in-reactor fuel rod supporting conditions. Based on the parametric studies on these key parameters, it is found that the initial spring deflection, the spring force relaxation rate and cladding creepdown rate are in the order of the impact on the in-reactor fuel rod supporting conditions. Application of this simulation methodology to the fretting wear-induced failure experienced in a commercial plant indicates that this methodology can be utilized as an effective tool in evaluating the capability of newly developed cladding materials and/or new spacer grid designs against the fretting wear-induced damage.

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Viscoelastic Modeling of Automotive Bushing for Axial Mode (축방향 모드에 대한 자동차 부싱의 점탄성 모델링)

  • Lee, Seong-Beom;Lee, Su-Young
    • Elastomers and Composites
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    • v.39 no.3
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    • pp.228-233
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    • 2004
  • A bushing is a device used in automotive suspension systems to reduce the load transmitted from the wheel to the frame of the vehicle. A bushing is a hollow cylinder, which is bonded to a solid steel shaft at its inner surface and a steel sleeve at its outer surface. The relation between the force applied to the shaft and the relative deformation of a bushing is nonlinear and exhibits features of viscoelasticity. Since a force-displacement relation for bushings is important for multibody dynamics numerical simulations, the relation is expressed in terms of a force relaxation function and a method of determination by experiments on bushings has been developed. For the nonlinear viscoelastic axial response, Pipkin-Rogers model, the direct relation of force and displacement, has been derived from experiment. It is shown that the predictions by the proposed force-displacement relation are in very good agreement with the experimental results.