• 제목/요약/키워드: Elastic Contact Theory

검색결과 87건 처리시간 0.027초

Determination of the Vlasov foundation parameters -quadratic variation of elasticity modulus- using FE analysis

  • Celik, Mecit;Omurtag, Mehmet H.
    • Structural Engineering and Mechanics
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    • 제19권6호
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    • pp.619-637
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    • 2005
  • The objective of this research was to determine the Vlasov soil parameters for quadratically varying elasticity modulus $E_s$(z) of the compressible soil continuum and discuss the interaction affect between two close plates. Interaction problem carried on for uniformly distributed load carrying plates. Plate region was simulated by Kirchhoff plate theory based (mixed or displacement type) 2D elements and the foundation continuum was simulated by displacement type 2D elements. At the contact region, plate and foundation elements were geometrically coupled with each other. In this study the necessary formulas for the Vlasov parameters were derived when Young's modulus of the soil continuum was varying as a quadratic function of z-coordinate through the depth of the foundation. In the examples, first the elements and the iterative FE algorithm was verified and later the results of quadratic variation of $E_s$(z) were compared with the previous examples in order to discuss the general behavior. As a final example two plates close to each other resting on elastic foundation were handled to see their interaction influences on the Vlasov foundation parameters. Original examples were solved using both mixed and displacement type plate elements in order to confirm the results.

페리다이나믹 소성 모델을 통한 화강암의 고속 충돌 파괴 해석 (Dynamic Fracture Analysis of High-speed Impact on Granite with Peridynamic Plasticity)

  • 하윤도
    • 한국전산구조공학회논문집
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    • 제32권1호
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    • pp.37-44
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    • 2019
  • 결합 기반 페리다이나믹 모델은 간단한 재료 모델을 통해 취성 재료의 다양한 동적 파괴 특성을 확인할 수 있었지만, 다양한 재료 구성 모델을 표현하는데 많은 한계점이 나타났다. 특히, 절점 간 결합이 서로 독립적으로 작용하여 포아송 비가 고정되고 전단 변형이 표현되는 않는 문제점이 있다. 상태 기반 페리다이나믹 모델은 보다 일반화되고 엄밀한 재료 모델링이 가능하며, 모든 결합의 변형 정보를 통해 각 절점의 거동이 계산되기 때문에 결합 기반 모델에서 표현하지 못한 전단 변형까지도 표현 가능하다. 본 연구에서는 상태 기반 페리다이나믹 모델을 통해 재료 모델을 구성하고, 소성 흐름 법칙으로부터 재료의 완전 소성 거동을 표현할 수 있도록 간단한 재료 모델을 구성한다. 평판 수치 예제를 통해 구성된 완전 소성 재료 모델을 검증하고 응력 변형 곡선을 확인한다. 또한 비국부 접촉 모델링을 통해 서로 다른 두 물체가 충돌하는 현상을 모사하여, 화강암반 모델의 고속 충돌 파괴 해석을 수행하고 결과분석 및 실험현상과 비교한다.

쐐기형 모형선 주위 연속 쇄빙과정에 관한 입자 기반 수치 시뮬레이션 (Particle-based Numerical Simulation of Continuous Ice Breaking Process around Wedge-type Model Ship)

  • ;신우진;김동현;박종천;정성엽
    • 대한조선학회논문집
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    • 제57권1호
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    • pp.23-34
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    • 2020
  • This paper covers the development of prediction techniques for ice load on ice-breakers operating in continuous ice-breaking under level ice conditions using particle-based continuum mechanics. Ice is assumed to be a linear elastic material until the fracture occurs. The maximum normal stress theory is used for the criterion of fracture. The location of the crack can be expressed using a local scalar function consisting of the gradient of the first principal stress and the corresponding eigen-vector. This expression is used to determine the relative position of particle pair to the new crack. The Hertz contact model is introduced to consider the collisions between ice fragments and the collisions between hull and ice fragments. In order to verify the developed technique, the simulation results for the three-point bending problems of ice-specimen and the continuous ice-breaking problem around a wedge-type model ship with bow angle of 20° are compared with the experimental results carrying out at Korea Research Institute of Ships and Ocean Engineering (KRISO).

2.2 kW급 유도전동기의 회전자 적층구조를 고려한 회전체 동역학 해석모델 개발 및 베어링 간극의 영향 분석 (Rotordynamic Model Development with Consideration of Rotor Core Laminations for 2.2 kW-Class Squirrel-Cage Type Induction Motors and Influence Investigation of Bearing Clearance)

  • 박지수;심규호;이성호
    • Tribology and Lubricants
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    • 제35권3호
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    • pp.158-168
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    • 2019
  • This paper presents the investigation of two types of rotordynamic modeling issues for 2.2 kW-class, rated speed of 1,800 rpm, squirrel-cage type induction motors. These issues include the lamination structure of rotor cores, and the radial clearance of ball bearings that support the shaft of the motor. Firstly, we focus on identifying the effects of rotor core lamination on the rotordynamic analysis via a 2D prediction model. The influence of lamination is considered as the change in the elastic modulus of the rotor core, which is determined by a modification factor ranging from 0 to 1.0. The analysis results show that the unbalanced response of the rotor-bearing system significantly varies depending on the value of the modification factor. Through modal testing of the system, the modification factor of 0.079 is proven to be appropriate to consider the effects of lamination. Next, we investigate the influence of ball bearing clearance on the rotordynamic analysis by establishing a bearing analysis model based on Hertz's contact theory. The analysis results indicate that negative clearance greatly changes the bearing static behavior. Rotordynamic analysis using predicted bearing stiffness with various clearances from -0.005 mm to 0.010 mm reveals that variations in clearance result in a slight difference in the displacement of the system up to 18.18. Thus, considering lamination in rotordynamic analysis is necessary as it can cause serious analysis errors in unbalanced response. However, considering the effect of the bearing clearance is optional because of its relatively weak impact.

사질토(砂質土) 위에 놓인 강성(剛性) 원형기초(圓形基礎)의 수직진동(垂直振動) (Vertical Vibration of Rigid Circular Footings on Sand)

  • 김수일;민덕기
    • 대한토목학회논문집
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    • 제5권3호
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    • pp.127-136
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    • 1985
  • 본(本) 연구(硏究)에서는 접지압분포(接地壓分布)를 포물선(抛物線)으로 가정(假定)한 기계기초(機械基礎)에 수직(垂直) 정규진동(正規振動) 하중(荷重)이 가(加)해질 경우의 진동(振動) 거동(擧動)을 해석(解析)할 수 있는 질량(質量)-스프링-감쇠(感衰)의 일자유도(一自由度)인 단순화 된 애널로그는(analog)를 제안(提案)하였다. 본(本) 연구(硏究)에서 제안(提案)된 애널로그는 탄성(彈性) 반무한체(半無限體) 이론(理論)과 잘 일치(一致)하였다. 또한 본(本) 애널로그는 모형(模型) 콘크리트 기초(基礎)의 수직(垂直) 진동(振動) 실험(實驗)을 통(通)하여 실험치(實驗値)와 비교(比較)하였다. 진동(振動) 실험(實驗)에서 모형(模型) 기초(基礎)는 질량비(質量比)가 각각(各各) 다른 11 개(個)의 원형(圓形) 기초(基礎)를 사용(使用)하였으며 실험(實驗) 지반(地盤)은 모래로 성토(盛土)하여 사용(使用)하였다. 본(本) 실험(實驗)에서 진동(振動) 하중(荷重)은 일정(一定) 진폭(振幅)의 진동(振動) 재하(載荷) 장치(裝置)를 사용(使用)하였으며 진동(振動) 실험(實驗)의 주파수(周波數) 범위는 30~100 Hz 이었다. 실험(實驗) 결과(結果) 공진주파수(共振周波數)는 이론치(理論値)와 잘 부합하였으나 이론(理論) 공진변위(共振變位)와 실측(實測) 공진변위(共振變位)의 비(比)는 0.5~1.7 사이에서 변화(變化)됨을 알 수 있었다. 또한 하중(荷重)이 증가(增加)됨에 따라 공진주파수(共振周波數)는 약간 감소(減小)하며 공진변위(共振變位)는 약간 증가(增加)함을 알 수 있었다.

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수치해석에 의한 터널 지보재로서 TSL(Thin Spray-on Liner)의 보강 효과 분석 (Analysis of Reinforcement Effect of TSL (Thin Spray-on Liner) as Supports of Tunnel by Numerical Analysis)

  • 이기철;김동욱;장수호;최순욱;이철호
    • 한국지반신소재학회논문집
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    • 제16권4호
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    • pp.151-161
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    • 2017
  • TSL(Thin Spray-on Liner)는 폴리머 성분을 주재료로 사용하며 숏크리트에 비해 높은 부착성능을 갖고 초기 강도가 높고 시공성이 좋으며 일부 방수재료로도 활용이 가능하다. 이러한 TSL의 특성으로 인해 TSL이 시공된 콘크리트는 TSL의 강한 부착력에 의해 복합 구조체로서 기능을 발휘한다. 본 연구에서는 이러한 TSL 특성을 기존 터널 설계법에 적용하기 위해 수치해석 연구를 수행하였다. 터널 콘크리트 라이닝 설계에 사용되는 허용응력설계법에서는 휨압축응력, 휨인장응력, 전단력을 기준으로 허용 수치 범위내에서 검토한다. 이에 대한 검토를 위해 기존 연구에서 제시된 TSL의 재료 물성과 접촉면 조건을 인용하여 TSL이 보강된 경우와 그렇지 않은 경우에 대해 서로 비교하였다. 기존 허용응력설계법을 사용하여 콘크리트의 설계 두께를 검토한 후 TSL을 적용하여 콘크리트의 설계 두께 감소 여부를 확인하는 방법으로 연구를 수행하였다. 해석결과, 탄성이론을 근거로한 허용응력설계법 내에서는 TSL의 보강효과를 검토하기 어려웠다.

Reliability of mortar filling layer void length in in-service ballastless track-bridge system of HSR

  • Binbin He;Sheng Wen;Yulin Feng;Lizhong Jiang;Wangbao Zhou
    • Steel and Composite Structures
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    • 제47권1호
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    • pp.91-102
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    • 2023
  • To study the evaluation standard and control limit of mortar filling layer void length, in this paper, the train sub-model was developed by MATLAB and the track-bridge sub-model considering the mortar filling layer void was established by ANSYS. The two sub-models were assembled into a train-track-bridge coupling dynamic model through the wheel-rail contact relationship, and the validity was corroborated by the coupling dynamic model with the literature model. Considering the randomness of fastening stiffness, mortar elastic modulus, length of mortar filling layer void, and pier settlement, the test points were designed by the Box-Behnken method based on Design-Expert software. The coupled dynamic model was calculated, and the support vector regression (SVR) nonlinear mapping model of the wheel-rail system was established. The learning, prediction, and verification were carried out. Finally, the reliable probability of the amplification coefficient distribution of the response index of the train and structure in different ranges was obtained based on the SVR nonlinear mapping model and Latin hypercube sampling method. The limit of the length of the mortar filling layer void was, thus, obtained. The results show that the SVR nonlinear mapping model developed in this paper has a high fitting accuracy of 0.993, and the computational efficiency is significantly improved by 99.86%. It can be used to calculate the dynamic response of the wheel-rail system. The length of the mortar filling layer void significantly affects the wheel-rail vertical force, wheel weight load reduction ratio, rail vertical displacement, and track plate vertical displacement. The dynamic response of the track structure has a more significant effect on the limit value of the length of the mortar filling layer void than the dynamic response of the vehicle, and the rail vertical displacement is the most obvious. At 250 km/h - 350 km/h train running speed, the limit values of grade I, II, and III of the lengths of the mortar filling layer void are 3.932 m, 4.337 m, and 4.766 m, respectively. The results can provide some reference for the long-term service performance reliability of the ballastless track-bridge system of HRS.