• 제목/요약/키워드: element stiffness

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U형 벨로우즈의 유한요소해석과 특정 강성을 위한 형상최적설계 (A Finite Element Analysis and Shape Optimal Design with Specified Stiffness for U-typed Bellows)

  • 고병갑;서용진;박경진
    • 한국자동차공학회논문집
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    • 제3권6호
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    • pp.96-111
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    • 1995
  • A bellows is a component installed in the automobile exhaust system to reduce the impact from an engine. It's stiffness has a great influence on the natural frequency of the system. Therefore, it must be designed to keep the specified stiffness that requires in the system. This study present the finite element analysis of U-typed bellows using a curved conical frustum element and the shape optimal design with specified stiffness. The finite element analysis is verified by comparing with the experimental results. In the shape optimal design, the weight is considered as the cost function. The specified stiffness from the system design is transformed to equality constraints. The formulation has inequality constraints imposed on the fatigue limit, the natural frequencies, the buckling load and the manufacturing conditions. A procedure for shape optimization adopts a thickness, a corrugation radius, and a length of annular plate as optimal design variables. The external loading conditions include the axial and lateral loads with a boundary condition fixed at an end of the bellows. The recursive quadratic programming algorithm is selected to solve the problem. The result are compared with the existing bellows, and the characteristics of the bellows is investigated through the optimal design process. The optimized shape of the bellows are expected to give quite a good guideline to the practical design.

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유한 요소 해석을 통해 계산된 틸팅 패드 베어링의 피봇 강성과 Hertzian 접촉 모델 해석 결과 비교 (Finite Element Analysis of Pivot Stiffness for Tilting Pad Bearings and Comparison to Hertzian Contact Model Calculations)

  • 이태원;김태호
    • Tribology and Lubricants
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    • 제30권4호
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    • pp.205-211
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    • 2014
  • Recent studies emphasize the importance of pivot stiffness in the analysis of tilting pad bearings (TPBs). The present paper develops a finite element model of the pad pivot and compares the predicted pivot stiffness to the results of Hertzian contact model calculations. Specifically, a finite element analysis generates tetrahedral mesh models with ~40,000 nodes for a ball-socket pivot and ~50,000 nodes for a rocker-back pivot. These models assume a frictionless boundary condition in the contact area. Increasing the applied loads on the pad in conjunction with increasing time steps ensures rapid convergence during the nonlinear numerical analysis. Predictions are performed using the developed finite element model for increasing the differential diameters between the pad pivot (or ball) and the bearing housing (or socket). The predictions show that the pivot contact area increases with decreasing differential diameters and increasing applied loads. Further, the maximum deformation occurring at the pivot center increases with increasing differential diameters and increasing applied loads. The pivot stiffness increases nonlinearly with decreasing differential diameters and increasing applied loads. Comparisons of results of the developed finite element model to those of Hertzian contact model calculations assuming a small contact area show that the latter model underestimates the pivot stiffnesses predicted by the finite element models of the ball-socket and rocker-back pivots, particularly for small differential diameters. This result implies the need for cautionduring the design of pivot stiffness by the Hertzian contact model.

강성등가하중의 정의와 응용 (Definition and Application of Equivalent Load for Stiffness)

  • 김치경
    • 한국전산구조공학회논문집
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    • 제19권3호
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    • pp.303-312
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    • 2006
  • 본 연구에서는 요소의 추가 및 제거 또는 부분적인 강성 변경이 있을 때, 이러한 강성 변경이 전체 구조물의 거동에 미치는 영향을 하중으로 표현한 강성등가하중을 제안한다. 강성등가하중에 의한 재해석은 초기 구조물을 대상으로 하므로 이미 계산된 강성행렬 및 역행렬을 다시 사용할 수 있어 재해석 효율을 크게 향상시킬 수 있다. 본 논문에서는 강성등가하중의 개념을 정의하고 간단한 병렬 스프링 구조물을 이용하여 강성등가하중 산정 가능성에 대하여 우선 기술한다. 다음으로 일반적인 골조 구조물에서 강성 변경에 대한 강성등가하중 산정 절차를 제안하고, 마지막으로 몇몇 강성 변경 사례에 대한 강성등가하중 산정 및 해석결과를 제시함으로써 제안된 기법을 검증한다. 강성등가하중은 향후 비선형해석, 구조물 거동및 응력 제어 등 다양한 문제에 활용될 수 있을 것으로 기대된다.

A Parameter Study for Static and Dynamic Denting

  • Jung, Dong-Won;Worswick, M.J.
    • Journal of Mechanical Science and Technology
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    • 제18권11호
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    • pp.2009-2020
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    • 2004
  • A parametric study of the factors controlling static and dynamic denting, as well as local stiffness, has been made on simplified panels of different sizes, curvatures, thicknesses and strengths. Analyses have been performed using the finite element method to predict dent resistance and panel stiffness. A parametric approach is used with finite element models of simplified panels. Two sizes of panels with square plan dimensions and a wide range of curvatures are analysed for several combinations of material thickness and strength, all representative of auto-motive closure panels. Analysis was performed using the implicit finite element code, LS-NIKE, and the explicit dynamic code, LS-DYNA for the static and dynamic cases, respectively. Panel dent resistance and stiffness behaviour are shown to be complex phenomena and strongly interrelated. Factors favouring improved dent resistance include increased yield strength and panel thickness. Panel stiffness also increases with thickness and with higher curvatures but decreases with size and very low curvatures. Conditions for best dynamic and static dent performance are shown to be inherently in conflict ; that is, panels with low stiffness tend to perform well under impact loading but demonstrate inferior static dent performance. Stiffer panels are prone to larger dynamic dents due to higher contact forces but exhibit good static performance through increased resistance to oil canning.

공작기계 베어링 결합부의 전산 모델링 (Computational Modeling of the Bearing Coupling Section of Machine Tools)

  • 김현명;서재우;박형욱
    • 한국정밀공학회지
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    • 제29권10호
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    • pp.1050-1055
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    • 2012
  • The bearing coupling section of machine tools is the most important factor to determine their static/dynamic stiffness. To ensure the proper performance of machine tools, the static/dynamic stiffness of the rotating system has to be predicted on the design stage. Various parameters of the bearing coupling section, such as the spring element, node number and preload influence the characteristics of rotating systems. This study focuses on the prediction of the static and dynamic stiffness of the rotating system with the bearing coupling section using the finite element (FE) model. MATRIX 27 in ANSYS has been adopted to describe the bearing coupling section of machine tools because the MATRIX 27 can describe the bearing coupling section close to the real object and is applicable to various machine tools. The FE model of the bearing couple section which has the sixteen node using MATRIX 27 was constructed. Comparisons between finite element method (FEM) predictions and experimental results were performed in terms of the static and dynamic stiffness.

선박 장비 받침대의 동강성 평가를 위한 유한요소 모델링과 해석 인자에 관한 연구 (A Study on the Finite Element Modeling and Analytical Parameters for the Dynamic Stiffness Evaluation of Shipboard Equipment Foundations)

  • 김국현;김윤환;최태묵;최성원;조대승
    • 대한조선학회논문집
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    • 제47권6호
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    • pp.808-812
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    • 2010
  • This paper studies the finite element modeling and analytical parameters for the numerical evaluation of dynamic stiffness of large foundation for shipboard equipments such as marine diesel engine. For the purpose, numerical method and procedure to evaluate the dynamic stiffness are established based on the impact test method, which are applied for the dynamic stiffness evaluation of a real diesel generator foundation of ship. Numerical investigations compared with the measured data are carried out to evaluate the effects of modeling ranges of ship substructure, finite element sizes, lower support structures and damping coefficients. From the results, modeling and analytical parameters for proper evaluation of dynamic stiffness of large foundation of shipboard equipment are suggested.

주탑형상 및 강성이 사장교의 거동 및 주형좌굴에 미치는 영향 (The Behavior Characteristic and Buckling Strength of Stiffening-Girder of Cable stayed bridge according to Pylon's shape and Flexure Stiffness)

  • 최학재;채규봉
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.759-763
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    • 2006
  • Cable Stayed Bridge is mainly composed of three element. Composed element are cable. stiffening girder and Pylon. The characteristic of bridge's behavior depend on these three element's relative stiffness, shape and system of bridge. The purpose of this paper is to exame the characteristic of bridge's behavior and buckling strength of stiffening girder according to shape and flexure stiffness of pylon

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FEA Simulations and Tests of Rubber Insulator for Truck Suspension

  • Hur, Shin;Woo, Chang Su
    • Elastomers and Composites
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    • 제52권4호
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    • pp.303-308
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    • 2017
  • In this study, finite element modeling and material property tests are performed for the finite element analysis of rubber isolator parts which support the engine and isolate the vibration. As a result of the P direction analysis of the rubber isolator parts, the static stiffness in the P direction was 44.2 kg/mm, which is well within the error of 5% as compared with the test result of 46.1 kg/mm. The static stiffness of the rubber isolator parts in the Q direction was calculated to be 7.9 kg/mm, which is comparable to the test result of 8.6 kg/mm, with an error of less than 8%. As a result of the analysis on the Z direction, the static stiffness was calculated as 57.7 kg/mm, and the test results were not available. Through this study, it is expected that the time and cost for prototype development can be reduced through nonlinear finite element analysis for rubber isolator parts.

전달강성계수법과 유한요소법의 조합에 의한 사각평판의 자유진동해석 (Free Vibration Analysis of Rectangular Plates by the Combined Transfer Stiffness Coefficient Method and Finite Element Method)

  • 문덕홍;최명수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.353-358
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    • 1998
  • In general, we have used the finite element method(FEM) to find natural frequencies of plates. In this method, however, it is necessary to use a large amount of computer memory and computation time because the FEM requires many degrees of freedom for finding natural frequencies of plates correctly. Therefore it was very difficult to analyze the free vibration of plates correctly on personal computer. For overcoming this disadvantage of the FEM, the authors have developed the finite element-transfer stiffness coefficient method(FE-TSCM) which is based on the concept of modeling techniques in the FEM and the transfer of the stiffness coefficient in the transfer stiffness coefficient method. In this paper, we formulate free vibration analysis algorithm of rectangular plates using the FE-TSCM. Some numerical examples of rectangular plates are proposed, and their results and computation times obtained by the FE-TSCM are compared with those by the FEM and the finite element-transfer matrix method in order to demonstrate the accuracy and efficiency of the FE-TSCM.

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Exact dynamic element stiffness matrix of shear deformable non-symmetric curved beams subjected to initial axial force

  • Kim, Nam-Il;Kim, Moon-Young
    • Structural Engineering and Mechanics
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    • 제19권1호
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    • pp.73-96
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    • 2005
  • For the spatially coupled free vibration analysis of shear deformable thin-walled non-symmetric curved beam subjected to initial axial force, an exact dynamic element stiffness matrix of curved beam is evaluated. Firstly equations of motion and force-deformation relations are rigorously derived from the total potential energy for a curved beam element. Next a system of linear algebraic equations are constructed by introducing 14 displacement parameters and transforming the second order simultaneous differential equations into the first order simultaneous differential equations. And then explicit expressions for displacement parameters are numerically evaluated via eigensolutions and the exact $14{\times}14$ dynamic element stiffness matrix is determined using force-deformation relations. To demonstrate the accuracy and the reliability of this study, the spatially coupled natural frequencies of shear deformable thin-walled non-symmetric curved beams subjected to initial axial forces are evaluated and compared with analytical and FE solutions using isoparametric and Hermitian curved beam elements and results by ABAQUS's shell elements.