• Title/Summary/Keyword: displacement analysis

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Helical gear multi-contact tooth mesh load analysis with flexible bearings and shafts

  • Li, Chengwu;He, Yulin;Ning, Xianxiong
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.839-856
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    • 2015
  • A multi-contact tooth meshing model for helical gear pairs considering bearing and shaft deformations is proposed. First, to easily incorporate into the system model, the complicated Harris' bearing force-displacement relationship is simplified applying a linear least square curve fit. Then, effects of shaft and bearing flexibilities on the helical gear meshing behavior are implemented through transformation matrices which contain the helical gear orientation and spatial displacement under loads. Finally, true contact lines between conjugated teeth are approximated applying a modified meshing equation that includes the influence of tooth flank displacement on the tooth contact induced by shaft and bearing displacements. Based on the model, the bearing's force-displacement relation is examined, and the effects of shaft deformation and external load on the multi-contact tooth mesh load distribution are also analyzed. The advantage of this work is, unlike previous works to search true contact lines through time-consuming iterative strategy, to determine true contact lines between conjugated teeth directly with presentation of deformations of bearings and shafts.

A Study on the Contact Behavior of Stress-Displacement Characteristics for an Inclined Rail-Wheel Contact Mode (레일-휠의 접촉면 경사도에 따른 응력-변위량의 거동특성에 관한 연구)

  • 김청균
    • Journal of the Korean Society for Railway
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    • v.7 no.3
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    • pp.186-192
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    • 2004
  • Using the finite element method, rail-wheel contact model has been analyzed for mechanical loads due to passengers and payload of the train. This paper presents an investigation on how tapered wheel and inclined rail surfaces affect the contact stress and displacement of rail-wheel contacting surface under mechanical loads. For a numerical analysis, the tapered faces of the wheel are considered as 2.5% and 5.5%. And two models of the tilted rail are also considered as 40:1 and 20:1 at the bottom of the rail. The computed results based on the contact stress and displacement FE analysis indicate that the tilting ratio of the rail, 20:1 with a tapered face of the wheel, 2.5% may be more stable compared to that of 40:1 tilting model and 5.5% tapered wheel face.

Seismic Assessment of Plan-irregular Wall Structures using Adaptive Modal Analysis (수정 모드해석방법을 이용한 비대칭 벽식 구조물의 내진성능평가)

  • Ha, Tae-Hyu;Hong, Sung-Gul
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.589-596
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    • 2006
  • Torsional behavior of eccentric structures under seismic loading may cause stress and/or strain concentration, which result in the failure of the structures in an unexpected manner. This study propose how to assess the seismic capacity of plan-irregular RC wall structures. The seismic capacities ate expressed in terms of lateral displacement capacity of each wall. The seismic demands for displacement are assessed by so called displacement-based design approach. Those seismic capacity and demands are combined D-R coordinate, which is made up of lateral displacement and rotation angle. To expand these concepts to the inelastic region the adaptive modal analysis method is used. In addition, the failure mechanisms including torsional failure are defined on D-R coordinate. Finally, seismic assessments of two 3-story plan-irregular wall structures ate presented.

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A study on the Capacity Spectrum for Seismic Performance Evaluation of Bridge (교량의 내진성능 평가를 위한 역량스펙트럼 적용 연구)

  • Park, Yeon-Soo;Lee, Byung-Geun;Kim, Eung-Rok;Suh, Byung-Chul;Park, Sun-Joon;Choi, Sun-Min
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.1012-1017
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    • 2008
  • In this study, We examine closely the capacity spectrum method which a kind of displacement-based method evaluated by displacement of structure as an alternative to the load-based analysis method. The displacement-based method can easily review the strength of structure, seismic performance, ductility. Seismic performance by using capacity spectrum method is divided into design response spectrum and capacity spectrum. We can diagram design response spectrum by deciding the design seismic factor depending on performance target, site classification, seismic level, return period as UBC-97. Capacity spectrum is a load-displacement curve obtained by Push-over analysis considering the geometric parameter and the material parameter. We execute the seismic performance evaluation by using the capacity spectrum method to reinforced concrete pier which has been seismic design. As a result, We confirmed that there is a yield point and a ultimate point close by design response spectrum of UBC-97.

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Study on the Thermal Deformation of the Air-conditioner Indoor Unit Assembly Using 3D Measurement and Finite Element Analysis (에어컨 실내기 사출 조립품의 열 변형 3D측정과 유한요소해석)

  • Hong, Seokmoo;Hwang, Jihoon;Kim, Cheulgon;Eom, Seong-uk
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.24 no.2
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    • pp.251-255
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    • 2015
  • Thermal deformation, such as bending and twisting, occurs among the polymer parts of air-conditioner indoor units because of repetitive temperature change during heating operation. In this study, a numerical method employing finite-element analysis to efficiently simulate the thermal deformation of an assembly is proposed. Firstly, the displacement of an actual assembly produced by thermal deformation was measured using a 3D optical measurement system. The measurement results indicated a general downward sag of the assembly, and the maximum displacement value was approximately 1 mm. The temperature distribution was measured using a thermographic camera, and the results were used as initial-temperature boundary conditions to perform temperature-displacement analysis. The simulation results agreed well with the measured data. To reduce the thermal deformation, the stiffness increased 100%. As the results, the maximum displacement decreased by approximately 5.4% and the twisting deformation of the holder improved significantly.

Reliability Analysis of the Three-Dimensional Deformation Measurement by Terrestrial Photogrammetry (지상사진에 의한 삼차원변형측량의 신뢰성 분석(기이))

  • 유복모;유환희;이용희
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.6 no.1
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    • pp.35-41
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    • 1988
  • In the three dimensional deformation analysis by terrestrial photographs, iterative reweighted similarity transformation method is used for more accurate displacement computation. Also, Bayesian Inference method is used in the detection of unstable points and the analytical method for displacement patterns analysis is proposed in this study. In results, the accuracy of displacement estimation was improved by applying the weights of least absolute method ($\Sigma$|d|⇒min) and more accurate detection of displaced points could be achieved by Bayesian Inference. The analytical method in the patterns of displacement proposed in this study could be adapted to the movement analysis of objects wholly or partly.

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Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure

  • Arefi, M.;Rahimi, G.H.
    • Smart Structures and Systems
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    • v.9 no.2
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    • pp.127-143
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    • 2012
  • The present paper deals with the nonlinear analysis of the functionally graded piezoelectric (FGP) annular plate with two smart layers as sensor and actuator. The normal pressure is applied on the plate. The geometric nonlinearity is considered in the strain-displacement equations based on Von-Karman assumption. The problem is symmetric due to symmetric loading, boundary conditions and material properties. The radial and transverse displacements are supposed as two dominant components of displacement. The constitutive equations are derived for two sections of the plate, individually. Total energy of the system is evaluated for elastic solid and piezoelectric sections in terms of two components of displacement and electric potential. The response of the system can be obtained using minimization of the energy of system with respect to amplitude of displacements and electric potential. The distribution of all material properties is considered as power function along the thickness direction. Displacement-load and electric potential-load curves verify the nonlinearity nature of the problem. The response of the linear analysis is investigated and compared with those results obtained using the nonlinear analysis. This comparison justifies the necessity of a nonlinear analysis. The distribution of the displacements and electric potential in terms of non homogenous index indicates that these curves converge for small value of piezoelectric thickness with respect to elastic solid thickness.

A Study on the Vibration Reduction by the Position of Borehole using Experimental Waveform and Finite Element Analysis (실측파형과 유한요소해석을 통한 방진구의 위치별 진동 저감 연구)

  • Song, Jeong-Un;Kim, Seung-Kon;Park, Hoon;Hong, Woong-Ki
    • Journal of Environmental Impact Assessment
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    • v.22 no.4
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    • pp.381-387
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    • 2013
  • In order to improve the environmental vibration, it is necessary to method for not only reduce the vibration source, but also control the vibration path. In this study, we used borebole for estimate the vibration reduction. And also, we analyzed displacement and vibration velocity caused by the position of borehole as well as the condition of borehole in ground structure. Visual FEA(Finite Element Analysis) program was used in this numerical analysis. The results are as follows : The displacement magnitude and X, Y direction displacement were represented to different results due to the condition and position of borehole, and were represented to the lowest values when the position of borehole is the most close condition from the vibration source. And also, the vibration velocity was decreased as using borebole in ground structure. The isolation efficiency of the vibration was calculated to maximum 18.40% when borehole was established to the most close position from the vibration source and the receive point.

Sensitivity Analysis of Dynamic Response by Change in Excitation Force and Cross-sectional Shape for Damped Vibration of Cantilever Beam (가진력과 단면형상 변화에 따른 외팔보 감쇠 진동의 민감도 해석)

  • Yun, Seong-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.8
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    • pp.11-17
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    • 2021
  • This paper describes the time rate of change of dynamic response of a cantilever beam inserted with a damping element, such as bonding, which is excited under a general force at various locations. A sensitivity analysis was performed in a finite element model to show that two types of second-order algebraic governing equations were used to predict the rate of change of dynamic displacement: one is related to the modal coordinate linked to a physical coordinate, and the other to the design parameter of the time rate of change of displacement. The sensitivity differential equation formulation includes more complicated terms compared with that of the undamped cantilever beam. The sensitivities of the dynamic response were observed by changing the location of the excitation force, displacement extraction, and cross-sectional area of the beam. The analytical results obtained by this suggested theory showed a relatively good agreement when compared with those obtained using the commercial finite element program. The suggested analysis procedure enables the prediction of the response sensitivity for any finite element model of the dynamic system.

A Study on Response Analysis by Transmission Error of Yaw Drive for 8 MW Large Capacity Wind Turbines (8 MW급 대용량 풍력발전기용 요 감속기 치합전달오차에 따른 응답해석에 관한 연구)

  • Seo-Won Jang;Se-Ho Park;Young-kuk Kim;Min-Woo Kim;Hyoung-Woo Lee
    • Journal of Wind Energy
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    • v.15 no.1
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    • pp.43-49
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    • 2024
  • This study performed a response analysis according to the transmission error of the yaw drive. To perform the response analysis, the excitation source of the transmission error was modeled and the outer ring of the first stage bearing and the outer ring of the output shaft bearing were used as measurement positions. The response results were analyzed based on the vibration tolerance values of AGMA 6000-B96. As a result of the response of the first stage bearing outer ring, the maximum displacement of the first stage planetary gear system was 5.59 and the maximum displacement of the second to fourth stage planetary gear systems was 4.21 ㎛ , 3.13 ㎛ , and 25.6 ㎛ . In the case of the output shaft bearing outer ring, the maximum displacement of the first stage planetary gear system was 1.73 ㎛, and the maximum displacement of the second to fourth stage planetary gear system was 1.94 ㎛, 0.73 ㎛, and 2.03 ㎛. According to AGMA 6000-B96, the vibration tolerance of first stage is 17.5 ㎛, and the vibration tolerance of the second to fourth stages is 58 ㎛, 80 ㎛, and 375 ㎛, which shows that the vibration tolerance is satisfied and it is safe.