• Title/Summary/Keyword: Spring Element

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Formulation of an Interface Element and Stiffness Evaluation of an Leaf Spring (계면 요소의 구성과 이를 이용한 겹판스프링의 강성도 평가)

  • 정정희;임장근
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.6
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    • pp.141-147
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    • 1997
  • For the effective finite element analysis of the structures including material interfaces or contact surfaces, interface elements are proposed. Most of early works in this problem require not only iterative computation but also complex formulation because of the kinematic nonlinearities caused from the discontinuous behavior and the stress concentration phenomena. The proposed elements, however, are consistently formulated using relative displacements and tractions between top and bottom regular finite elements. The effectiveness of these elements are shown by solving various numerical sample problems including an leaf spring and comparing with results of general finite element analysis. As a result, more stable solutions are conveniently obtaines using interface elements than regular finite elements.

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A Flexible Multi-body Dynamic Model for Analyzing the Hysteretic Characteristics and the Dynamic Stress of a Taper Leaf Spring

  • Moon Il-Dong;Yoon Ho-Sang;Oh Chae-Youn
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1638-1645
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    • 2006
  • This paper proposes a modeling technique which is able to not only reliably and easily represent the hysteretic characteristics but also analyze the dynamic stress of a taper leaf spring. The flexible multi-body dynamic model of the taper leaf spring is developed by interfacing the finite element model and computation model of the taper leaf spring. Rigid dummy parts are attached at the places where a finite element leaf model is in contact with an adjacent one in order to apply contact model. Friction is defined in the contact model to represent the hysteretic phenomenon of the taper leaf spring. The test of the taper leaf spring is conducted for the validation of the reliability of the flexible multi-body dynamic model of the taper leaf spring developed in this paper. The test is started at an unloaded state with the excitation amplitude of $1{\sim}2mm/sec$ and frequency of 132 mm. First, the simulation is conducted with the same condition as the test. Then, the simulations are conducted with various amplitudes in a loaded state. The hysteretic diagram from the test is compared with the ones from the simulation for the validation of the reliability of the model. The dynamic stress analysis of the taper leaf spring is also conducted with the developed flexible multi-body dynamic model under a dynamic loading condition.

Optimum stiffness values for impact element models to determine pounding forces between adjacent buildings

  • Jaradat, Yazan;Far, Harry
    • Structural Engineering and Mechanics
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    • v.77 no.2
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    • pp.293-304
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    • 2021
  • Structural failure due to seismic pounding between two adjacent buildings is one of the major concerns in the context of structural damage. Pounding between adjacent structures is a commonly observed phenomenon during major earthquakes. When modelling the structural response, stiffness of impact spring elements is considered to be one of the most important parameters when the impact force during collision of adjacent buildings is calculated. Determining valid and realistic stiffness values is essential in numerical simulations of pounding forces between adjacent buildings in order to achieve reasonable results. Several impact model stiffness values have been presented by various researchers to simulate pounding forces between adjacent structures. These values were mathematically calculated or estimated. In this study, a linear spring impact element model is used to simulate the pounding forces between two adjacent structures. An experimental model reported in literature was adopted to investigate the effect of different impact element stiffness k on the force intensity and number of impacts simulated by Finite Element (FE) analysis. Several numerical analyses have been conducted using SAP2000 and the collected results were used for further mathematical evaluations. The results of this study concluded the major factors that may actualise the stiffness value for impact element models. The number of impacts and the maximum impact force were found to be the core concept for finding the optimal range of stiffness values. For the experimental model investigated, the range of optimal stiffness values has also been presented and discussed.

Three-dimensional finite element analysis of forging processes with back pressure exerted by spring force (스프링 힘에 의한 배합부가 단조 공정의 3차원 유한요소해석)

  • Jang, S.M.;Kim, M.C.;Lee, M.C.;Jun, B.Y.;Joun, M.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.10a
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    • pp.470-473
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    • 2009
  • In this paper, back pressure forging processes of which back pressures are exerted by mechanical forces including spring reaction are simulated by three-dimensional finite element method. The basic three-dimensional approach extended from two-dimensional approach is accounted for. An axisymmetric backward and forward extrusion process having a back pressing die, which is exposed to oscillation of forming load due to variation of reduction ratios with stroke and its related frequent variation of major deforming region, is simulated by both two and three dimensional approaches to justify the presented approach by their comparison. A three-dimensional forging process having a back pressing die attached to the punch by a mechanical spring is simulated and the results are investigated to reveal accuracy of the presented approach.

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Robust Design of Leaf Spring of a Polygon Mirror Scanner Motor Against Shock (충격에 강인한 폴리곤 미러 스캐너 모터의 판 스프링 설계)

  • Lee, Sang-Wook;Kim, Myung-Gyu;Jung, Kyung-Moon;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.11a
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    • pp.515-520
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    • 2008
  • This paper develops a mite element model of a polygon mirror scanner motor supported by the sintered bearing and flexible supporting structures to analyze the shock response by using the finite element method and the mode superposition method. The validity of the proposed model is verified by comparing the simulated natural frequencies and shock response with the experimental ones. It investigates the displacement and the stress of the most vulnerable component, i.e. a leaf spring due to shock, and it proposes a robust design of leaf spring of a polygon mirror scanner motor against shock.

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Vertical Vibration Analysis of Single Pile-Soil Interaction System Considering the Interface Spring (접합면 스프링요소를 고려한 단말뚝-지반 상호작용계의 수직진동해석)

  • 김민규;김문겸;이종세
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.106-113
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    • 2002
  • In this study, a numerical analysis method for soil-pile interaction in frequency domain problem is presented. The total soil-pile interaction system is divided into two parts so called near field and far field. In the near field, beam elements are used for a pile and plain strain finite elements for soil. In the far field, dynamic fundamental solution for multi-layered half planes based on boundary element formulation is adopted for soil. These two fields are coupled using FE-BE coupling technique In order to verify the proposed soil-pile interaction analysis, the dynamic responses of pile on multi-layered half planes are simulated and the results are compared with the experimental results. Also, the dynamic response analyses of interface spring elements are performed. As a result, less spring stiffness makes the natural frequency decrease and the resonant amplitude increase.

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Free Vibration Analysis of Helical Springs (헬리컬 스프링의 자유진동 해석)

  • 김월태;정명조;김현수;이영신
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.977-983
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    • 2003
  • Free vibration analysis of helical springs was performed by the use of the commercial finite element analysis program, ANSYS. The investigation of national frequency was focused on the effect of various parameters such as boundary conditions, spring indices, number of coil turns and helix angles which are considered to affect the free vibration of a spring. The finite element method was validated by comparison with the result of a previouosly published literature. The similarity of frequency trend was shown among three boundary conditions: clamped-clamped, free-free, simpliy supported-simply supported but there was no similarity in light of mode shapes among them. Several modes showed similar frequencies on and near the frequencies identified by the natural frequency formula of Wahl. Natural frequencies increased with spring indices and number of turns decreasing and with helix angles increasing. The results investigated by finiete element method were compared with the experemental result and theoretical result and showed a good agreement among them.

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Three-Dimensional Finite Element Analysis of Forging Processes with Back Pressure Exerted by Spring Force (스프링 힘에 의한 배압부가 단조 공정의 3차원 유한요소해석)

  • Jang, S.M.;Kim, M.C.;Lee, M.C.;Jun, B.Y.;Joun, M.S.
    • Transactions of Materials Processing
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    • v.19 no.5
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    • pp.273-276
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    • 2010
  • In this paper, back pressure forging processes of which back pressures are exerted by mechanical forces including spring reaction are simulated by three-dimensional finite element method. The basic three-dimensional approach extended from two-dimensional approach is accounted for. An axisymmetric backward and forward extrusion process having a back pressing die, which is exposed to oscillation of forming load due to variation of reduction ratios with stroke and its related frequent variation of major deforming region, is simulated by both two and three dimensional approaches to justify the presented approach by their comparison. A three-dimensional forging process having a back pressing die attached to the punch by a mechanical spring is simulated and the results are investigated to reveal accuracy of the presented approach.

Finite Element Analysis on the Springback in the Forging-Bending of Metal Micro-Wire (금속 마이크로 와이어의 단조-굽힘 성형에서 스프링백에 관한 해석적 연구)

  • Kang, J.J.;Hong, S.K.;Jeon, B.H.;Pyo, C.R.
    • Transactions of Materials Processing
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    • v.17 no.8
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    • pp.649-656
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    • 2008
  • Springback is one of factors affecting precision in metal forming. Its effect is particularly prominent in bending process. In this study, bending and forging process are used in order to manufacture a micro spring with two bending region from $60{\mu}m$ diameter wire. Springback in the process lowers the precision of the micro spring. Overbending for springback compensation has wide usage in a general way. However, this method requires repeated modifications of press dies until the tolerance is allowable, which causes that production cost and time increase. In this paper, we analyzed the mechanism of springback in the forming process of the micro spring using finite element method. In addition, a simple method to control springback without modifying dies was proposed by performing numerical analysis with various parameters.

Analysis of Sealing Effectiveness Based on Spring Stiffness of a Spring-Energized Static Seal (스프링 보강 정적 실의 스프링 강성에 따른 기밀 성능 해석)

  • Jang, Soo Yeon;Sung, In-Ha
    • Tribology and Lubricants
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    • v.34 no.6
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    • pp.307-312
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    • 2018
  • Unlike a typical static seals, spring-energized static seals exhibit improvement in leak-tightness by reinforcing the spring inside the aluminum lining. Thus, spring-energized static seals are widely used in various industrial fields, such as aerospace, semiconductors, and petrochemical industries. The primary objective of this study is to develop design guidelines for spring-energized static seals in a wide range of temperatures, including that of cryogenic environments, by analyzing the required performance and influence of design variables through simulations. There are various parameters that can be controlled to design a leak-tight seal. In this study, the finite element analysis (FEA) is performed by controlling the parameters related to the spring and the thickness of the aluminum lining, and the result of the leakage between the seal and the casing is confirmed. Considering the influence of each parameters, all of them are found to be important. However, it is observed that the spring-related variables are more important than the aluminum lining or other variables when complexity is considered. We can identify the threshold value of spring stiffness that changes leak-tight performance of the seal by performing FEA. Simulation results, under the conditions that are considered in this study, show that spring stiffness should be at least 3.6 N/m to maintain leak-tightness caused by the sufficient contact force between the aluminum lining and the upper and lower casings.