• Title/Summary/Keyword: Nonlinear spring behavior

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Influence of Rolling Friction in Linear Ball Guideways on Positioning Accuracy

  • Tanaka, Toshiharu;Ikeda, Kyohei;Otsuka, Jiro;Masuda, Ikuro;Oiwa, Takaaki
    • International Journal of Precision Engineering and Manufacturing
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    • v.8 no.2
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    • pp.85-89
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    • 2007
  • Linear ball guideways have been used recently in precision or ultra-precision positioning devices. However, when the inner balls begin to roll or the moving direction reverses, these guideways are subject to rolling friction or nonlinear spring behavior. An ultra-precision device with a linear motor, referred to as a 'tunnel actuator' (TA), has been constructed to measure these phenomena. The application of a TA is beneficial for two reasons: it mostly cancels the attractive magnetic force between the stator and mover (armature), and its magnetic flux leakage is very low. The influence of the nonlinear spring behavior in ball guideways was investigated in this study using the pure driving force from a TA. The equilibrium between the driving force from the TA and the nonlinear spring force provided great accuracy for a positioning stage using a linear ball guideway.

Numerical simulation of bridge piers with spread footings under earthquake excitation

  • Chiou, Jiunn-Shyang;Jheng, Yi-Wun;Hung, Hsiao-Hui
    • Earthquakes and Structures
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    • v.16 no.6
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    • pp.691-704
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    • 2019
  • This study simulates the responses of large-scale bridge piers under pseudo-dynamic tests to investigate the performance of four types of numerical models that consider the nonlinear behavior of the pier and the rocking behavior of the footing. In the models, beam-column elements with plastic hinges are used for the pier, two types of foundation models (rotational spring and distributed spring models) are adopted for the footing behavior, and two types of viscous damping models (Rayleigh and dashpot models) are applied for energy dissipation. Results show that the nonlinear pier model combined with the distributed spring-dashpot foundation model can reasonably capture the behavior of the piers in the tests. Although the commonly used rotational spring foundation model adopts a nonlinear moment-rotation property that reflects the effect of footing uplift, it cannot suitably simulate the hysteretic moment-rotation response of the footing in the dynamic analysis once the footing uplifts. In addition, the piers are susceptible to cracking damage under strong seismic loading and the induced plastic response can provide contribution to earthquake energy dissipation.

Finite Element Modeling and Analysis of Nonlinear Dynamic characterisics of Leaf spring (판 스프링의 비선형 동특성 해석)

  • 임홍재;권영일
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.842-846
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    • 1996
  • Leaf springs are widely used as a major suspension component in many commercial vehicles, such as buses, trucks, etc. They have a complex dynamic behavior due to the geometric nonlinear and the contact mechanism between the leaves. The interface conditions between the leaves play a significant role in the global behavior of the comfort and ride of the vehicle system. The paper concentrates on modeling leaf springs and contact frictions between the leaves using a nonlinear finite element approach. A nonlinear load-displacement hysteresis curve for the leaf spring is simulated and its results are compared with test results.

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Winkler spring behavior in FE analyses of dowel action in statically loaded RC cracks

  • Figueira, Diogo;Sousa, Carlos;Neves, Afonso Serra
    • Computers and Concrete
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    • v.21 no.5
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    • pp.593-605
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    • 2018
  • A nonlinear finite element modeling approach is developed to assess the behavior of a dowel bar embedded on a single concrete block substrate, subjected to monotonic loading. In this approach, a discrete representation of the steel reinforcing bar is considered, using beam finite elements with nonlinear material behavior. The bar is connected to the concrete embedment through nonlinear Winkler spring elements. This modeling approach can only be used if a new constitutive model is developed for the spring elements, to simulate the deformability and strength of the concrete substrate. To define this constitutive model, an extensive literature review was conducted, as well as 3 experimental tests, in order to select the experimental data which can be used in the calibration of the model. Based on this data, an empirical model was established to predict the global dowel response, for a wide range of bar diameters and concrete strengths. This empirical model provided the information needed for calibration of the nonlinear Winkler spring model, valid for dowel displacements up to 4 mm. This new constitutive model is composed by 5 stages, in order to reproduce the concrete substrate response.

Dynamic Modeling of Satellite with Deployable Solar Arrays (인공위성 태양전지판 전개 시스템 동적 모델링)

  • Seok Heo;Moon K. Kwak;Kim, Hong-B;Sang M. Moon;Sung H. Woo;Lee, Sang S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.373.2-373
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    • 2002
  • This research is concerned with dynamic modeling of satellite with deployable solar arrays equipped with strain energy hinges (SEH). It is found from experiments that the SEH has nonlinear dynamic characteristics and complex buckling behavior, which is difficult to explain theoretically In this paper, we use an equivalent one dimensional nonlinear torsional spring for the SEH. Lagrangian equations of motion are used for the derivations.

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Nonlinear Static Analysis of Shear Wall Sub-assemblages Based on the Uniaxial Spring Model (선형 스프링모델을 이용한 전단벽식 부분구조의 비선형 정적해석)

  • Kim, Kyung-Min;Oh, Sang-Hoon;Lee, Sang-Ho;Lee, Han-Seon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.16 no.2
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    • pp.15-24
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    • 2012
  • Domestic reinforced concrete (RC) apartments have a unique structural system that consists of shear walls and rink members of slabs and lintels. In this study, the nonlinear static analysis of two RC shear wall sub-assemblages, with and without lintels, was conducted using the uniaxial spring model to develop a method for accurately predicting the seismic behavior of domestic RC apartments. In the case of the specimen without lintels, the analytical result successfully represented a simulation of the nonlinear behavior of the specimen in accordance with the test result. On the other hand, in the case of the specimen with lintels, the analysis resulted in underestimating the nonlinear behavior of the specimen compared to the test result, because the coupling effect could not be predicted from the earlier loading cycle.

A Study on the Dynamic Characteristics of Hydropneumatic Suspension Unit Considering the Nonlinear Effects (비선형효과를 고려한 유기압현수장치의 동적 특성 연구)

  • Song, Oh-Seop;Park, Byung-Hoon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.8
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    • pp.747-756
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    • 2007
  • The hydropneumatic suspension units, which have applied to the tracked vehicles, have the spring and damping function in the unit. The nonlinear characteristics such as roadwheel rotation effects, gas behavior changes, hydraulic damping characteristics, hysterisis, and frictional forces have been ignored or simplified to analyze the mathematical models in many areas. This study describes the dynamic characteristics and the nonlinear behaviors of hydropneumatic suspension unit considering the nonlinear effects such as the nonlinear spring and nonlinear damping through the simulation and the experiment. The utility of nonlinear analysis through the higher-order spectral analysis is also presented.

Analysis of Dynamic Behavior of Floating Slab Track Using a Nonlinear Viscoelastic Spring Model (비선형 점탄성 스프링 모델을 이용한 플로팅 슬래브 궤도의 동적 거동 해석)

  • Jang, Seung Yup;Park, Jin Chul;Hwang, Sung Ho;Kim, Eun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.11
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    • pp.1078-1088
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    • 2012
  • Recently, the vibration and structure-borne noise induced by passing trains are of great concerns, and the floating slab track is highlighted as one of most efficient alternatives to reduce the railway vibration. However, due to the non-linearity and viscosity of rubber spring used in the floating slab track, its dynamic behavior is very complex. In this study, therefore, to simulate the dynamic behavior of floating slab track with a better accuracy, a nonlinear viscoelastic rubber spring model that can be incorporated in commercial finite element analysis codes has been proposed. This model is composed of a combination of elastic spring element, friction element and viscous element, and termed the "generalized friction viscoelastic model(GFVM)". Also, in this study, the method to determine the model parameters of GFVM based on Berg's 5-parameter model was presented. The results of the finite element analysis with this rubber spring model exhibit very good correlation with the test results of a laboratory mock-up test, and the feasibility of GFVM has been verified.

Occupant Behavior Analysis of Simplified Full Car Model in Consideration of Joint (결합부 강성을 고려한 단순차체모델의 승객거동 해석)

  • 김홍욱;박신희;강신유;한동철;김정원
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.2
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    • pp.220-227
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    • 1998
  • In substitution of beam-nonlinear spring model for real-car, it may have errors due to complicated characteristics of joint and overestimation of joints stiffness. In this research, a method for the joint modeling was suggested by nonlinear static and dynamic analyses of beam and shell joint models and verified by the application of accomplished joint modeling method to simplified full car model. In consequence, modified simplified full car model was improved in local acceleration and rigid wall force. Finally, the frontal crash analyses with the dummy were established and the accelerations of accelerations of head, chest and pelvis had good agreements with those of shell model.

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Pushover Analysis of Reinforced Concrete Shear Wall Subjected to High Axial Load Using Fiber Slices and Inelastic Shear Spring (섬유(Fiber)요소와 비선형 전단스프링을 적용한 고축력을 받는 철근콘크리트 전단벽의 비선형거동 분석)

  • Jun, Dae Han
    • Journal of the Earthquake Engineering Society of Korea
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    • v.19 no.5
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    • pp.239-246
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    • 2015
  • Reinforced concrete shear walls are effective for resisting lateral loads imposed by wind or earthquakes. Observed damages of the shear wall in recent earthquakes in Chile(2010) and New Zealand(2011) exceeded expectations. Various analytical models have been proposed in order to incorporate such response features in predicting the inelastic response of RC shear walls. However, the model has not been implemented into widely available computer programs, and has not been sufficiently calibrated with and validated against extensive experimental data at both local and global response levels. In this study, reinforced concrete shear walls were modeled with fiber slices, where cross section and reinforcement details of shear walls can be arranged freely. Nonlinear analysis was performed by adding nonlinear shear spring elements that can represent shear deformation. This analysis result will be compared with the existing experiment results. To investigate the nonlinear behavior of reinforced concrete shear walls, reinforced concrete single shear walls with rectangular wall cross section were selected. The analysis results showed that the yield strength of the shear wall was approximately the same value as the experimental results. However, the yielding displacement of the shear wall was still higher in the experiment than the analysis. The analytical model used in this study is available for the analysis of shear wall subjected to high axial forces.