• 제목/요약/키워드: Extremum Principle

검색결과 4건 처리시간 0.016초

조압연 공정의 판 폭 퍼짐 예측 모델 - Part I : 도그 본 형상에 적용 (A New Model for Predicting Width Spread in a Roughing Mill - Part I: Application to Dog-bone Shaped Inlet Cross)

  • 이동훈;이경보;황상무
    • 소성∙가공
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    • 제23권3호
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    • pp.139-144
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    • 2014
  • In the current study, we present a new model for predicting width spread of a slab with a dog-bone shaped cross section during rolling in the roughing train of a hot strip mill. The approach is based on the extremum principle for a rigid plastic material and a three dimensional admissible velocity field. The upper bound theorem is used for calculating the width spread of the slab. The prediction accuracy of the proposed model is examined through comparison with the predictions from 3-D finite element (FE) process simulations.

조압연 공정의 판 폭 퍼짐 예측 모델 - Part II : 평판에의 적용 (A New Model for Predicting Width Spread in a Roughing Mill - Part II: Application to Flat Rolling)

  • 이동훈;이경보;황상무
    • 소성∙가공
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    • 제23권3호
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    • pp.145-150
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    • 2014
  • Precision control of the slab is crucial for product quality and production economy in hot strip mills. The current study presents a new model for predicting width spread of a slab with a rectangular cross section during roughing. The model is developed on the basis of the extremum principle for a rigid plastic material and a three dimensional admissible velocity field. This model incorporates the effect of process variables such as the shape factor and the ratio of width to thickness. We compare the results of this model to 3-D finite element (FE) process simulations and also to results from a previous study.

Simulation of square-to-oval single pass rolling using a computationally effective finite and slab element method

  • 이상매;김낙수
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1991년도 춘계학술대회 논문집
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    • pp.237-242
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    • 1991
  • Shape rolling has been studied experimentally by many researchers. As large numbers of process variables are involved and the material flow is difficult to analyze in shape rolling, the use of numerical techniques as an engineering tool becomes extremely attractive. The first numerical approach to the three-dimensional plastic deformation of rolling was to investigate side spread in flat rolling. Oh and Kobayashi conducted a pioneering study in this field by applying an extremum principle for rigid, perfectlyplastic materials combined with the numerical computation. Since then, several other researchers have used three-dimensional finite element method for analysing spread in rolling . In this investigation of shaperolling al the computer simulations of shape rolling were conducted using TASKS. To verify the predictive capabilities of TASKS the first example chosen was square-to-round shape rolling

Calculation method and application of natural frequency of integrated model considering track-beam-bearing-pier-pile cap-soil

  • Yulin Feng;Yaoyao Meng;Wenjie Guo;Lizhong Jiang;Wangbao Zhou
    • Steel and Composite Structures
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    • 제49권1호
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    • pp.81-89
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    • 2023
  • A simplified calculation method of natural vibration characteristics of high-speed railway multi-span bridge-longitudinal ballastless track system is proposed. The rail, track slab, base slab, main beam, bearing, pier, cap and pile foundation are taken into account, and the multi-span longitudinal ballastless track-beam-bearing-pier-cap-pile foundation integrated model (MBTIM) is established. The energy equation of each component of the MBTIM based on Timoshenko beam theory is constructed. Using the improved Fourier series, and the Rayleigh-Ritz method and Hamilton principle are combined to obtain the extremum of the total energy function. The simplified calculation formula of the natural vibration frequency of the MBTIM under the influence of vertical and longitudinal vibration is derived and verified by numerical methods. The influence law of the natural vibration frequency of the MBTIM is analyzed considering and not considering the participation of each component of the MBTIM, the damage of the track interlayer component and the stiffness change of each layer component. The results show that the error between the calculation results of the formula and the numerical method in this paper is less than 3%, which verifies the correctness of the method in this paper. The high-order frequency of the MBTIM is significantly affected considering the track, bridge pier, pile soil and pile cap, while considering the influence of pile cap on the low-order and high-order frequency of the MBTIM is large. The influence of component damage such as void beneath slab, mortar debonding and fastener failure on each order frequency of the MBTIM is basically the same, and the influence of component damage less than 10m on the first fourteen order frequency of the MBTIM is small. The bending stiffness of track slab and rail has no obvious influence on the natural frequency of the MBTIM, and the bending stiffness of main beam has influence on the natural frequency of the MBTIM. The bending stiffness of pier and base slab only has obvious influence on the high-order frequency of the MBTIM. The natural vibration characteristics of the MBTIM play an important guiding role in the safety analysis of high-speed train running, the damage detection of track-bridge structure and the seismic design of railway bridge.