• Title/Summary/Keyword: dynamic stiffness analysis

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Dynamic stiffness matrix method for axially moving micro-beam

  • Movahedian, Bashir
    • Interaction and multiscale mechanics
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    • v.5 no.4
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    • pp.385-397
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    • 2012
  • In this paper the dynamic stiffness matrix method was used for the free vibration analysis of axially moving micro beam with constant velocity. The extended Hamilton's principle was employed to derive the governing differential equation of the problem using the modified couple stress theory. The dynamic stiffness matrix of the moving micro beam was evaluated using appropriate expressions of the shear force and bending moment according to the Euler-Bernoulli beam theory. The effects of the beam size and axial velocity on the dynamic characteristic of the moving beam were investigated. The natural frequencies and critical velocity of the axially moving micro beam were also computed for two different end conditions.

The Contribution of Spindle Parts to Static, Dynamic Stiffness and Design Improvement (공작기계 주축의 요소별 정동적 강성기여율 및 개선에 관한 연구)

  • 이찬홍;박천홍;이후상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.985-988
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    • 2002
  • The Spindle-]fearing System is very important unit for geometrical accuracy in machine tools. To improve effectively the weak point of spindle system, it is necessary that the contribution ratio of spindle core parts to static and dynamic stiffness is clarified. In this paper, static contribution ratio of core parts is calculated by overlapping static deformation of basic spindle design with one flexible parts. The dynamic contribution ratio for natural frequency and dynamic deformation at spindle end is obtained by calculating correlation between original and basic spindle deformation, by curve fitting with regressive method. It is proved the validity of estimation result is correct.

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Analysis of Axial Load Characteristics of Air-Dynamic Bearings of Various Curvatures (다양한 곡률을 가진 공기 동압 베어링의 축방향 부하특성 해석)

  • 최우천;신용호;최정환
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.3
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    • pp.129-135
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    • 2000
  • Air-dynamic bearings are increasingly used in supporting small high-speed rotating bodies. This study investigates the effects of design parameters on the axial stiffness of spiral-grooved air bearings of various curvatures. Design parameters are fundamental clearance, groove depth, and bearing number. The pressure distribution at the clearance between the stator and rotor of the bearing is obtained by solving the Reynolds equation, and the supporting load and the axial linear stiffness are calculated from the pressure distribution. It is found that a larger curvature increases the axial linear stiffness more and that there exist an optimal groove depth for the linear stiffness of the air bearing. It is also found that the linear stiffness has a linear relationship with the bearing number.

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Dynamic Analysis of Boom Using Finite Element Method (유한 요소법을 이용한 붐대의 동특성 해석)

  • Han, Su-Hyun;Kim, Byung-Jin;Hong, Dong-Pyo;Tae, Sin-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.987-991
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    • 2005
  • The Aerial platform Truck is widely used for work in high place with the aerial platform. The most important thing is that worker's safety and worker must be able to work with trustworthiness so it needs to be verified its stiffness, deflection of boom, and dynamic condition concerned with a rollover accident. It should have an analytical exactitude because it is directly linked with the worker safety. In this point, we are trying to develop a proper CAE analysis model concerned with a rollover safety, bending stress and deflection for load. The Aerial platform Truck have a dynamic characteristics by load and moving of boom in the work field, so its static and dynamic strength analysis, structural mechanics are very important. Therefore, we evaluate the safety of each boom to calculating its stress, deflection. A computer simulation program is used widely for doing applying calculation of stiffness and structural mechanics, then finally trying to find a optimum design of the Aerial platform Truck.

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Numerical Investigation on Static and Dynamic Stiffness Characteristics of Porous Air Bearing Considering Roughness Effects (조도효과를 고려한 다공질 공기베어링의 강성 특성에 관한 수치 해석 연구)

  • Gwon, Hyuk-Rok;Roh, Kyung-Chul;Jung, Soon-Chul;Shim, Hyung-Sub;Hong, Sa-Hoon;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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    • 2006.05a
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    • pp.1170-1176
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    • 2006
  • This study aims to investigate numerically the static and dynamic stiffness characteristics of porous air bearing and to estimate appropriate permeability values of porous medium. In particular, a new roughness model is proposed and implemented into the commercial CFD code (FLUENT Ver.6.2). The predicted results are extensively compared with experimental data for static cases. The roughness model is also validated through comparison with the results from open literature. For the dynamic cases, the deforming and re-meshing technique is used for describing fluid-solid interactions. It is found that the predictions for static stiffness are in good agreement with experimental data and the dynamic stiffness appears to be relatively smaller than the static stiffness. In addition, moving and dynamic analysis of air bearing seems to be possible to provide qualitative predictions even if there are somewhat discrepancies quantitatively, compared to experimental data.

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Dynamic analysis and model test on steel-concrete composite beams under moving loads

  • Hou, Zhongming;Xia, He;Wang, Yuanqing;Zhang, Yanling;Zhang, Tianshen
    • Steel and Composite Structures
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    • v.18 no.3
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    • pp.565-582
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    • 2015
  • This paper is concerned with the dynamic analysis of simply-supported steel-concrete composite beams under moving loads. Considering the interface slip between steel girder and concrete slab, the governing motion equations are derived from the direct balanced method. By variable separation approach, the analytical solution of natural frequencies and mode shapes are obtained, as well as the orthogonal conditions. Then the dynamic responses of the composite beam under moving loads are analyzed, and compared with the experimental results. The analysis results show that the governing motion equations become more complicated when interface slip is taken into account, and the dynamic behaviors are significantly influenced by the shear connection stiffness. In the dynamic calculation of composite beams, the global stiffness should not be reduced as the same factor to all orders, but as different ones according to the dynamic stiffness reduction factor (DSRF), to which should be paid more attention in calculation, design and experiment, or else great deviation is inevitable.

Prediction of Modified Structural Natural Frequencies and Modes using Interative Sensitivity Coefficient (감도계수 반복법을 이용한 구조물의 고유진동수 및 고유벡터 변화량 예측)

  • 이정윤
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.9 no.5
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    • pp.40-46
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    • 2000
  • This study predicts the modified structural eigenvector and eigenvalue due to the change in the mass and stiffness of 2-dimesional continuous system by iterative calculation of the sensitivity coefficient using the original dynamic characteristic. The method is applied to examples of a crank shaft by modifing the mass and stiffness. The predicted dynamics characteristics are in good agreement with these from the structural analysis using the modified mass and stiffness. The predicted dynamic characteristics are in good agreement with these from the structural analysis using the modified mass and stiffness.

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Exact Dynamic Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Beams Subjected to Initial Forces (초기하중을 받는 전단변형을 고려한 비대칭 박벽보의 엄밀한 동적 요소강도행렬)

  • 윤희택;김동욱;김상훈;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.435-442
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    • 2001
  • Derivation procedures of exact dynamic element stiffness matrix of shear deformable nonsymmetric thin-walled straight beams are rigorously presented for the spatial free vibration analysis. An exact dynamic 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 natural frequencies 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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Analysis of detection of mass position and modified stiffness using the change of the structural dynamic characteristics (구조물의 동특성 변화로부터 변경된 질량 및 강성 해석)

  • Lee, Jung-Youn;Oh, Jae-Eung
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.786-791
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    • 2004
  • This study proposed the analysis of mass position detection and modified stiffness due to the change of the mass and stiffness of structure by using the original and modified dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom by modifying the mass. The predicted detection of mass positions and magnitudes are in good agreement with these from the structural reanalysis using the modified mass.

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Analysis of Dynamic Behavior of Railway Bridge with Concrete Track (콘크리트궤도 부설 철도교량의 동적거동 분석)

  • Min, Rak-Ki;Sung, Deok-Yong;Park, Yong-Gul
    • Journal of the Korean Society for Railway
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    • v.15 no.2
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    • pp.147-153
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    • 2012
  • Precise estimation f a structure's dynamic characteristics is indispensable for ensuring stable dynamic response during life time especially for the structures which can experience resonance such as railway bridges. Especially, concrete track can change the modal properties of the railway bridge, through the contribution of stiffness as well as mass effects, generally only the mass effect is considered in dynamic analysis of the railway bridge. In this paper, static and dynamic behaviors of railway bridge with concrete track were investigated through experimental study. Also, numerical analysis was performed about considering only mass of concrete track and together with stiffness and mass of concrete track. These were compared with experiment value. Numerical analysis value considering together with stiffness and mass of concrete track was similar experiment value. Therefore, when dynamic analysis of railway bridge with concrete track is performed, the contribution of stiffness as well as mass effects for concrete track is considered.