• Title/Summary/Keyword: Static Stiffness

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Static Analysis of Axisymmetric Circular Plates under Lateral Loading Using Transfer of Stiffness Coefficient (강성계수의 전달을 이용한 횡방향 하중을 받는 축대칭 원판의 정적해석)

  • Choi, Myung-Soo;Yeo, Dong-Jun
    • Journal of Power System Engineering
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    • v.18 no.6
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    • pp.64-69
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    • 2014
  • A circular plate is one of the important structures in many industrial fields. In static analysis of a circular plate, we may obtain an exact solution by analytical method, but it is limited to a simple circular plate. Thus, many researchers and designers have used numerical methods such as the finite element method. The authors of this paper developed the finite element-transfer stiffness coefficient method (FE-TSCM) for static and dynamic analyses of various structures. FE-TSCM is the combination of the modeling technique of the finite element method (FEM) and the transfer technique of the transfer stiffness coefficient method (TSCM). FE-TSCM has the advantages of both FEM and FE-TSCM. In this paper, the authors formulate the computational algorithm for the static analysis of axisymmetric circular plates under lateral loading using FE-TSCM. The computational results for three computational models obtained by FE-TSCM are compared with those obtained by FEM in order to confirm the accuracy of FE-TSCM.

Development of Stiffness Estimation Algorithm for Nonlinear Static Analysis of Bilinear Material Model (이선형 재료모델의 비선형 정적해석을 위한 강성추정 알고리즘 개발)

  • Jung, Sung-Jin;Park, Se-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.2
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    • pp.620-626
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    • 2016
  • Estimating the nonlinear seismic response of structure in earthquake engineering is important. Nonlinear static analysis is a typical method, and a variety of methods and techniques for estimating the stiffness of structural system at a certain analysis stage have been introduced and used in numerical structural analysis. On the other hand, such methods have many difficulties in practical usage because they use time-consuming iterative methods or simplified algorithms for calculating the structural stiffness at specific points in the time of nonlinear static analysis. For this reason, this study suggests an accurate and effective method for estimating the stiffness of a structure in nonlinear static analysis. For this goal, existing theories of an incremental step-by-step solution was investigated first. Subsequently, an algorithm available for calculating the precise stiffness of a structural system, each element of which has a bilinear material model, was developed based on the investigated methods. Finally, a computer program, sNs, was developed with the algorithm used.

The Static and Dynamic Analysis of a 45,000rpm Spindle for a Machine Tool and Evaluation of Its Stiffness (공작기계용 45,000rpm 주축의 정.동적 해석과 강성평가)

  • Kim, Dong-Hyeon;Lee, Choon-Man
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.4
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    • pp.422-426
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    • 2011
  • The spindle system is very important unit for the product accuracy in machine tools. A spindle system is designed by using the angular contact ceramic ball bearings, built-in motor, oil-air lubrication method and oil jacket cooling method. The static and dynamic analysis and stiffness evaluation of 45,000rpm spindle for machine tool has been investigated. Using a finite element method, we obtained some analyzed a static and dynamic characteristics of a spindle, such as natural frequency, harmonic analysis and we got the value of compliance through it. We evaluated stiffness by taking the inverse this value. A 45,000rpm spindle is successfully developed using the results.

Exact Static Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Elastic Beams (전단변형을 고려한 비대칭 박벽보의 엄밀한 정적 요소강도행렬)

  • 김남일;곽태영;이준석;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.345-352
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    • 2001
  • Derivation procedures of exact static element stiffness matrix of shear deformable thin-walled straight beams are rigorously presented for the spatial buckling analysis. An exact static element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The buckling loads are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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Exact Static Element Stiffness Matrix of Nonsymmetric Thin-walled Elastic Curved Beams (비대칭 박벽 탄성 곡선보의 엄밀한 정적 요소강도행렬)

  • Yoon Hee-Taek;Kim Moon-Young;Kim Young-Ki
    • Proceedings of the KSR Conference
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    • 2005.11a
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    • pp.1165-1170
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    • 2005
  • In order to perform the spatial buckling analysis of the curved beam element with nonsymmetric thin-walled cross section, exact static stiffness matrices are evaluated using equilibrium equations and force-deformation relations. Contrary to evaluation procedures of dynamic stiffness matrices, 14 displacement parameters are introduced when transforming the four order simultaneous differential equations to the first order differential equations and 2 displacement parameters among these displacements are integrated in advance. Thus non-homogeneous simultaneous differential equations are obtained with respect to the remaining 8 displacement parameters. For general solution of these equations, the method of undetermined parameters is applied and a generalized linear eigenvalue problem and a system of linear algebraic equations with complex matrices are solved with respect to 12 displacement parameters. Resultantly displacement functions are exactly derived and exact static stiffness matrices are determined using member force-displacement relations. The buckling loads are evaluated and compared with analytic solutions or results by ABAQUS's shell element.

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Design Parameter Study on the Isolation Performance of the HSLDS Magnetic Vibration Isolator (HSLDS 마그네틱 진동절연체의 절연성능에 대한 설계 파라미터 분석)

  • Shin, Ki-Hong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.10a
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    • pp.473-477
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    • 2009
  • In general, the softer the stiffness of a linear vibration isolator the better the performance of isolation can be achieved. However, the stiffness of the isolator cannot be made too soft because it needs a sufficient stiffness to hold the load. This is the most critical limitation of a linear vibration isolator. Recently, a HSLDS (High-Static-Low-Dynamic-Stiffness) magnetic vibration isolator was proposed to overcome this fundamental limitation. The suggested isolator utilizes two pairs of attracting magnets that that introduces negative stiffness. Previously, this new type of vibration isolator was merely introduced and showed a possibility of practical use. In this paper, detailed dynamics of the HSLDS magnetic isolator are studied using computer simulations. Then, the isolation performance is examined for various design parameters to aid the practical use.

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Design Parameter Study on the Isolation Performance of the HSLDS Magnetic Vibration Isolator (HSLDS 마그네틱 진동절연체의 절연성능에 대한 설계 파라미터 분석)

  • Shin, Ki-Hong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.1
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    • pp.92-97
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    • 2010
  • In general, the softer the stiffness of a linear vibration isolator the better the performance of isolation can be achieved. However, the stiffness of the isolator cannot be made too soft because it needs a sufficient stiffness to hold the load. This is the most critical limitation of a linear vibration isolator. Recently, a HSLDS(high-static-low-dynamic-stiffness) magnetic vibration isolator was proposed to overcome this fundamental limitation. The suggested isolator utilizes two pairs of attracting magnets that introduces negative stiffness. Previously, this new type of vibration isolator was merely introduced and showed a possibility of practical use. In this paper, detailed dynamics of the HSLDS magnetic isolator are studied using computer simulations. Then, the isolation performance is examined for various design parameters to aid the practical use.

Influence of Bearing Stiffness on the Static Properties of a Planetary Gear System with Manufacturing Errors

  • Cheon, Gill-Jeong;Parker, Robert, G.
    • Journal of Mechanical Science and Technology
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    • v.18 no.11
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    • pp.1978-1988
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    • 2004
  • Hybrid finite element analysis was used to analyze the influence of bearing stiffness on the static properties of a planetary gear system with manufacturing errors. The effects of changes in stiffness were similar for most of the manufacturing errors. State variables were most affected by the stiffness of the planet ,bearings. Floating either the sun or carrier helps to equal load sharing and minimizes the critical tooth stress. The effects of a floating sun and carrier are similar, but it is not recommended that both float, because this can induce greater critical tooth stress. Planet bearing stiffness should be optimized. Both load sharing and critical tooth stress should be considered to determine optimal bearing stiffness.

An Experimental Study on Porous Air Bearing Stiffness Characteristics (다공질 공기 베어링의 강성 특성에 관한 실험 연구)

  • Jung, Soon-Chul;Lee, Seong-Hyuk;Lee, Jae-Eung;Ji, Hong-Kyu;Lee, Dong-Jin;Ryu, Je-Hyoung;Choi, Hyoung-Gil;Kim, Hyuk
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.75-78
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    • 2005
  • In this paper, an experimental study on porous air bearing stiffness for ultra precision positioning system was performed. In general manufacturer provide bearing stiffness under specific air pressure, but the air pressure used in the field is different. Therefore it is necessary to know the stiffness of air bearing under the pressure used in the field. In order to know that, experimental device which can realize actual operating conditions was made. Using this device, static and dynamic stiffness of air bearing can be obtained. As a result, displacement error occurred around 1 $\mu$m at recommended load.

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The Effects of Bleaching or Washing on the Absorption of Softener (DSDMAC) (Part 2) (직물의 표백과 세척이 유연제(DSDMAC) 흡착에 미치는 영향(제2보))

  • 박선경;유효선
    • Journal of the Korean Society of Clothing and Textiles
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    • v.20 no.5
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    • pp.711-717
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    • 1996
  • This study was carried to figure out the effect of washing on the cationic surfactant (DSDMAC) absorption by nylon fabrics washed with anionic surfactant(SDBS). Cationic surfactant absorption, static electricity, and fabric stiffness of washed and unwashed nylon fabrics were estimated. And to check the correlation between DSDMAC absorption and SDBS absorption, SDBS absorption by nylon fabrics were measured The results were as follows; 1. Nylon fabrics washed with SDBS absorbed more DSDMAC than unwashed fabrics. The more SDBS absorbed by nylon fabrics, the more DSDMAC absorbed. This is account for the increase in negative zeta potential of washed nylon fabrics. 2. Absorption of SDBS by nylon fabrics increased static electricity. Absorption of DSBMAC by washed and unwashed nylon fabrics greatyl decreased static electricity, and static electricity of washed nylon fabrics more decreased than that of unwashed nylon fabrics. 3. When washing cycles were under 20, DSDMAC absorption decreased fabric stiffness. As washing cycles were over 20, DSDMAC deposited as particles acted as points of weak adhesion between adjacent fibers, so increased the fabric stiffness.

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