• Title/Summary/Keyword: stiffness problem

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Determination of Dynamic Parameters of Agricultural Tractor Cab-Suspension by Modal Analysis (모드 해석을 이용한 트랙터 캡-현가 장치의 동적 파라미터 결정에 관한 연구)

  • 조진상;김경욱;박홍제
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.8
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    • pp.216-223
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    • 1999
  • This study was intended to determine the inertia , damping and stiffness properties of the cab-suspension of agricultural tractors by applying the direct system identification method (DSIM). Since the rigid and elastic modes of the cab-suspension are not likely to be separated clearly, direct application of the DSIM may result in large computation error. To solve such a problem, a method of locating mass center of the cab were determined by assuming the behavior of the cab-suspension is a rigid body motion. The dynamic parameters of the cab-suspension were then determined by applying the DSIM with the known coordinates of the mass center. The constraints of spatial matrices of the cab-suspension also make the algorithm for the DSIM perform better. The values of dynamic parameters determined by this method agreed well with those determined by the experiment.

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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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Free vibrations of arbitrary quadrilateral thick plates with internal columns and uniform elastic edge supports by pb-2 Ritz method

  • Wu, L.H.
    • Structural Engineering and Mechanics
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    • v.44 no.3
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    • pp.267-288
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    • 2012
  • Free vibration analysis of arbitrary quadrilateral thick plates with internal columns and elastic edge supports is presented by using the powerful pb-2 Ritz method and Reddy's third order shear deformation plate theory. The computing domain of arbitrary quadrilateral planform is mapped onto a standard square form by coordinate transformation. The versatile pb-2 Ritz functions defined by the product of a two-dimensional polynomial and a basic function are taken to be the admissible functions. Substituting these displacement functions into the energy functional and minimizing the total energy by differentiation, leads to a typical eigenvalue problem, which is solved by a standard eigenvalue solver. Stiffness and mass matrices are numerically integrated over the plate by using Gaussian quadrature. The accuracy and efficiency of the proposed method are demonstrated through several numerical examples by comparison and convergency studies. A lot of numerical results for reasonable natural frequency parameters of quadrilateral plates with different combinations of elastic boundary conditions and column supports at any locations are presented, which can be used as a benchmark for future studies in this area.

Buckling and Optimum Reinforcement of Axially Stiffened Cylindrical Shells (보강(補剛) 원통 Shell의 좌굴(挫屈) 및 최적보강(最適補强))

  • Jang, Chang-Doo;Nho, Wan
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.1
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    • pp.42-50
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    • 1987
  • The energy expressions are formulated for the axially stiffened shell treating the stiffeners as discrete elements. The principle of minimum potential energy is employed to formulate the buckling equations for a simply supported, axially stiffened shell under uniform axial compression. The displacement functions are expended into double trigonometric series. The mode assuming method employed in this paper makes it possible to reduce the matrix size of the eigenvalue problem considerably. Effects are made to investigate the transition from overall buckling to local buckling and to verify the existence of the minimum stiffness ratio of stiffener as in the case of stiffened plate. The results of the calculation show that the critical stiffener size increase linearly as the length of the shell increases. The results also show that the overall buckling load decreases and the local buckling load has a nearly constant value as the length of the shell increases. The results show very good agreements with other computational available.

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Structural Analysis of a PCB Substrate System for Semiconductor (반도체용 PCB 기판시스템의 구조해석)

  • Rim, Kyung-Hwa;Yang, Xun;Yoon, Jong-Kuk;Kim, Young-Kyun;Iyu, Sun-Joong
    • Journal of the Semiconductor & Display Technology
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    • v.10 no.4
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    • pp.113-118
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    • 2011
  • According to the high accuracy of semiconductor equipments, PCB substrate with much thin thickness is required. However, it is very difficult to sustain the PCB substrate without deformation in case of horizontal installation, due to low bending stiffness. In this research, new PCB process equipment with vertical installation has been developed in order to solve the problem of PCB substrate damage during etching process. As the main parts of etching system on PCB substrate, PCB substrate and JIG are analyzed through finite element method and experimental test. Through the analysis results of stress state, we could find the optimal JIG design to make the damage as low as possible.

Structural Topology Optimization using Element Remove Method (요소제거법을 이용한 구조물 위상최적설계)

  • 임오강;이진식;김창식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.183-190
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    • 2001
  • Topology optimization. has been evolved into a very efficient conceptual design tool and has been utilized into design engineering processes in many industrial parts. In recent years, topology optimization has become the focus of structural optimization design and has been researched and widely applied both in academy and industry. Traditional topology optimization has been using homogenization method and optimality criteria method. Homogenization method provides relationship equation between structure which includes many holes and stiffness matrix in FEM. Optimality criteria method is used to update design variables while maintaining that volume fraction is uniform. Traditional topology optimization has advantage of good convergence but has disadvantage of too much convergency time and additive checkerboard prevention algorithm is needed. In one way to solve this problem, element remove method is presented. Then, it is applied to many examples. From the results, it is verified that the time of convergence is very improved and optimal designed results is obtained very similar to the results of traditional topology using 8 nodes per element.

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Evaluation of Effective Length Factor by Using an Amplification Factor (확장계수를 적응한 기둥의 유효좌굴길이 계수 산정)

  • Choi, Dong-Ho;Yoo, Hoon;Shin, Jay-In;Kim, Sung-Yeon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.369-374
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    • 2007
  • For a stability design of steel frames, AISC-LRFD specification recommend to use Alignment Chart and story-based methods in order to determine an effective budding length. Recently, elastic buckling analysis, which is the method that calculate the effective length of members using eigenvalue of the overall structure, has been widely used in practical design of steel frames because this method can be performed effectively and automatically by computers. However, it can in some cases lead to unexpectedly large effective length in column having small axial forces. Therefore, this paper propose a method using elastic buckling analysis, which estimate a proper effective buckling length for all members having a small axial force. For verification of proposed method, it is compared with system based approach and stiffness distribution factor method. As a result, proposed method can rationally solve a problem in some case of column having small axial force. Also, adoption range for proposed method is established.

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Optimal Design of Optical Flying Head for Near-Field Recording (NFR 방식 Optical Flying Head의 형상 최적설계)

  • 김석훈;윤상준;최동훈;정태건;박진무;김수경
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.1165-1169
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    • 2003
  • This paper presents an approach to optimally design the air-bearing surface (ABS) of the optical flying head for near-field recording technology (NFR). NFR is an optical recording technology using very small beam spot size by overcoming the limit of beam diffraction. One of the most Important problems in NFR is a head disk interface (HDI) issue over the recording band during the operation. A multi-criteria optimization problem is formulated to enhance the flying performances over the entire recording band during the steady state. The optimal solution of the slider, whose target flying height is 50 nm, is automatically obtained. The flying height during the steady state operation becomes closer to the target values than those fur the initial one. The pitch and roll angles are also kept within suitable ranges over the recording band. Especially, all of the air-bearing stiffness are drastically increased by the optimized geometry of the air bearing surface.

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Idle Vibration Development Procedure of 4WD SUV (SUV차량의 Idle 성능 개발)

  • 최승우;이남영
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.120-124
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    • 2003
  • NVH issue at idle condition is one of the major concerns of Passenger and Commercial Vehicle including Sports Utility Vehicle Especially steering wheel vibration at idle condition is a very complex problem and affected by firing frequency of the engine, stiffness of a steering wheel system and the body to which the steering wheel system is attached. To avoid vibration mode coupling between each system of a vehicle, experimental and analytical method has been used at the pre-prototype stage. The resonance frequency of the body and the frame has been decoupled by CAE and the resonance frequency of steering wheel system has been set in between the 1st bending frequency of body and frame. These Results has been used as design guidelines tot the prototype drawing stage. The experimental verification of tile modified pre-prototype vehicle shows good results of the vibration mode decouple. Modal test of prototype vehicle also confirms the vibration mode decouple between each system.

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Seismic Pounding Analysis of Bridge According to Soil Stiffness and Natural Frequency Ratio (지반강성 및 고유진동수비에 따른 교량의 지진충돌해석)

  • Kang, Seung Woo;Choi, Kwang Kyu;Bae, Byung Ho;Ko, Jae Sang
    • Journal of the Earthquake Engineering Society of Korea
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    • v.18 no.4
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    • pp.193-200
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    • 2014
  • This paper examines the pounding problem between adjacent decks subjected to strong earthquakes. The elastomeric bearings in an isolated bridge reduce the stresses on the superstructure and cushion the impact by transferring smaller seismic forces to the substructure. On the other hand, these bearings also allow large horizontal displacement of the superstructure due to seismic forces. Bridges having various supporting soil conditions and different frequency ratios between adjacent decks are investigated by numerical analysis. In the analysis, decision making is conducted whether the collision took place or not and, the magnitude of pounding force and the duration time of collision are obtained and the results are discussed.