• 제목/요약/키워드: functions of loading

검색결과 318건 처리시간 0.026초

Analyzing the contact problem of a functionally graded layer resting on an elastic half plane with theory of elasticity, finite element method and multilayer perceptron

  • Yaylaci, Murat;Yayli, Mujgen;Yaylaci, Ecren Uzun;Olmez, Hasan;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제78권5호
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    • pp.585-597
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    • 2021
  • This paper presents a comparative study of analytical method, finite element method (FEM) and Multilayer Perceptron (MLP) for analysis of a contact problem. The problem consists of a functionally graded (FG) layer resting on a half plane and pressed with distributed load from the top. Firstly, analytical solution of the problem is obtained by using theory of elasticity and integral transform techniques. The problem is reduced a system of integral equation in which the contact pressure are unknown functions. The numerical solution of the integral equation was carried out with Gauss-Jacobi integration formulation. Secondly, finite element model of the problem is constituted using ANSYS software and the two-dimensional analysis of the problem is carried out. The results show that contact areas and the contact stresses obtained from FEM provide boundary conditions of the problem as well as analytical results. Thirdly, the contact problem has been extended based on the MLP. The MLP with three-layer was used to calculate the contact distances. Material properties and loading states were created by giving examples of different values were used at the training and test stages of MLP. Program code was rewritten in C++. As a result, average deviation values such as 0.375 and 1.465 was obtained for FEM and MLP respectively. The contact areas and contact stresses obtained from FEM and MLP are very close to results obtained from analytical method. Finally, this study provides evidence that there is a good agreement between three methods and the stiffness parameters has an important effect on the contact stresses and contact areas.

운동화의 생체역학적 평가시 하지 회내운동의 운동학적 평가변인에 대한 상해 기준치 연구 (The Study on critical Value of Kinematical Evaluation Variables of Lower Extremity Pronation in Biomechanical Evaluation of Running Shoes)

  • 곽창수;전민주;권오복
    • 한국운동역학회지
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    • 제16권4호
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    • pp.175-187
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    • 2006
  • The purpose of this study was to find the relationship between Achilles tendon angle, angular velocity from 2D cinematography utilized to easily analyze the functions of shoes, ankle joint moment, knee joint moment, and hip joint moment from 3D cinematography utilized to predict the injury. Also, this study was to provide the optimal standard to analyze the injury related to the shoes. Subjects in this study were 30 university male students and 18 conditions (2 types of running speed, 3 of midsole hardness, 3 of midsole height) were measured using cinematography and force platform. The results were as following. 1) Hip joint abduction moment was effected by many variables such as running speed, midsole height, maximum achilles tendon angle, ground reaction force. 2) Knee joint rotational moment in running was approximately 1/10 - 1/4 times of the injury critical value and eversion moment was approximately 1/4 - 1/2 times of the injury critical value. 3) Ankle joint pronation moment in running was 1/3 - 1/2 times of the injury critical value. 4) Knee joint rotational moment was found to be irrelevant with maximum achilles tendon angle or angular velocity. 5) Pronation from running was thought to be relevant to rather eversion moment activity than rotational moment activity of knee joint. 6) Plantar flexion abductor of ankle showed significant relationship with the ground reaction force variable. 7) When the loading rate for ground reaction force in passive region increased, extensor tended to be exposed to the injury. Main variables in biomechanical analysis of shoes were impact absorption and pronation. Among these variables, pronation factor was reported to be relevant with knee injury from long duration exercise. Achilles tendon angle factor was utilized frequently to evaluate this. However, as the results of this study showed, the relationship between these variables and injury relating variable of knee moment was so important. Studies without consideration on this finding should be reconsidered and reconfirmed.

탄성파시험에 의한 프리캐스트 슬래브궤도의 강성구조와 충전성능 평가 (Evaluation of Stiffness Structure and Grouting Efficiency beneath the Precast Slab Track by Elastic Wave Tests)

  • 이일화;조성호;장승엽;강윤석;한성우
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 추계학술대회 논문집
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    • pp.1303-1308
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    • 2007
  • Recently, precast concrete tracks are replacing ballast track for efficient and economic maintenance of track. Precast concrete railroad tracks are manufactured in factory, and transported to railroad construction site for installation. Therefore, quality of precast concrete track itself should be sufficiently good. On the contrary to the convenient manufacturing of precast concrete track, the installation of a precast concrete track requires careful steps. Typically, a precast concrete track is placed on an approximately 15-cm thick lean concrete layer. A mortar is filled between lean concrete layer and precast concrete track to adjust the sloping angle of a precast concrete track for a safe train operation at a curvy section. Then, the use of filled mortarproduces a void underneath a precast concrete track, which is harmful to structural safety of a precast concrete track undercyclic loading. Therefore, it is essential to make sure that there is no void left beneath a precast concrete track after mortar filling. In the continuous resonance method, the amplitude of frequency response measured using an instrumented hammer and an accelerometer is plotted against a pseudo-depth, which is half of the wave velocity divided by frequency. The frequency response functions are measured at consecutive measurement locations, 6-cm interval between measurement points, and then combined together to generate a 2-D plot of frequency response. The sections with strong reflections or large amplitude of frequency response are suspicious areas with internal voids and unfilled areas. The 2-D frequency response plot was efficient in locating problematic sections just by examining the color shade of a visualized plot in 2-D format. Some of the problematic sections were drilled to make a visual inspection of mortar filling. The visual image of interface between mortar and precast concrete track was verified using the validity of the continuous resonance technique adopted in this research.

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밀도와 구속압력이 노상토의 탄성계수에 미치는 영향에 관한 실험적 연구 (An Experimental Study on Effects of Density and Confining Pressure on the Elastic Modulus of Subgrade Soils)

  • 김수일;김문겸;유지형;김철수
    • 대한토목학회논문집
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    • 제8권2호
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    • pp.33-40
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    • 1988
  • 본 연구에서는 밀도와 구속압력이 노상토의 탄성계수에 미치는 영향을 살펴보기 위하여 전국 고속도로로 노상토를 채취분석하여 얻은 전형적인 5가지 노상토 재료에 대하여 함수비, 밀도 및 구속압력을 달리하면서 비압밀 비배수 삼축압축시험을 실시하였다. 삼축압축시험시 unloading-reloading 실험을 수행하여 얻은 응력-변형을 관계로부터 최대탄성계수를 측정하였다. 실험결과 노상토의 탄성거동은 Janbu의 제안식에 잘 부합하였으며, 구속압력으로 표준화된 탄성계수는 건조단위체적중량과 지수함수의 상관관계가 있음을 알 수 있었다. 또한 포화도가 70%이하에서는 함수비가 탄성계수에 영향을 거의 미치지 않음이 밝혀졌다.

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Hertz 접촉하중하에서의 복수표면균열의 상호간섭 (Mutual Interference of Two Surface Cracks under Hertzian Contact Loading)

  • 김상우;김석삼
    • 대한기계학회논문집A
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    • 제20권10호
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    • pp.3048-3057
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    • 1996
  • Analysis model containing two inclined surface cracks on semi-infinite elastic body is established and analyzed on the basis of linear fracture mechanics to examine mutual interference of two surface cracks. Muskhelishvili's complex stress functions are introduced and a set of singular integral equations is obtained for a dislocation density function. The stress intensity factors at crack tip are obtained by using the Gerasoulis'method. When two surface cracks are parallel and have the same length, the values of $K_1$and $\Delta K_11$(variation of $K_11$) for crack 1 and crack 2 decrease by the mutual interference of two surface cracks as the distance between the two surface cracks shortens. The effect of mutual interference is remarkable in high friction coefficient. In case that two surface cracks are parallel, the values of $K_1$and $\Delta K_11$for crack 2 decrease as the length ratio ot crack 2 to crack 1 becomes small. As the crack inclination angle rises, the value of $K_1$ and the mutual interference of $K_1$for crack 2 increase and the value of$\Delta K_11$ for crack 1 becomes smaller than that for crack 2.

A review on pavement porous concrete using recycled waste materials

  • Toghroli, Ali;Shariati, Mahdi;Sajedi, Fathollah;Ibrahim, Zainah;Koting, Suhana;Mohamad, Edy Tonnizam;Khorami, Majid
    • Smart Structures and Systems
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    • 제22권4호
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    • pp.433-440
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    • 2018
  • Pavements porous concrete is a noble structure design in the urban management development generally enabling water to be permeated within its structure. It has also capable in the same time to cater dynamic loading. During the technology development, the quality and quantity of waste materials have led to a waste disposal crisis. Using recycled materials (secondary) instead of virgin ones (primary) have reduced landfill pressure and extraction demanding. This study has reviewed the waste materials (Recycled crushed glass (RCG), Steel slag, Steel fiber, Tires, Plastics, Recycled asphalt) used in the pavement porous concretes and report their respective mechanical, durability and permeability functions. Waste material usage in the partial cement replacement will cause the concrete production cost to be reduced; also, the concretes' mechanical features have slightly affected to eliminate the disposal waste materials defects and to use cement in Portland cement (PC) production. While the cement has been replaced by different industrial wastes, the compressive strength, flexural strength, split tensile strength and different PC permeability mixes have depended on the waste materials' type applied in PC production.

트랙터 견인형 원형 베일 랩퍼의 개발(I) -랩핑 작업공정 분석 및 작업 시스템의 개발- (Development of a Tractor Attached Round Bale Wrapper(I) -Analysis of wrapping process and development of operating system-)

  • 박경규;김혁주;김창수;김재열;김진현;장철
    • Journal of Biosystems Engineering
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    • 제27권1호
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    • pp.11-18
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    • 2002
  • One of the major obstructing factors against managing dairy farm in Korea has been a shortage of roughage supply, which resulted in excessive abuse of concentrate feed. In order to solve this problem, production of the wrap silage by the winter cereal forages raised in the fallow paddy field is strongly recommended in Korea. The main objective is to develop a tractor attached round bale wrapper which can process the silage by wrapping the round bales with thin plastic films. This is the first half of the study which is divided by two parts. In this first part, bale wrapping process was analyzed, and based on this results the followings were designed, developed and tested. 1. Bale wrapper which haying the maximum capacity of 1 ton bale with various functions such as loading, wrapping, discharging the round bales and supplying and cutting wrap films was designed. 2. An actuator and its hydraulic circuit of each process were developed and tested. 3. Also, the variations of hydraulic pressure and engine speed were investigated by operating bale wrapper developed. In this test, maximum pressure of the hydraulic circuit for the bale wrapping was 130 kg/㎠ when it raised the bale, which was quite below the relief pressure of 170 kg/㎠ of hydraulic circuit. In the engine speed test, speed drop was 20∼67 rpm, which meant that there was no over-load operation. Therefore, the experiment proved that developed hydraulic circuit and mechanism is stable in bale wrapping operation

GIS를 이용한 지표화 확산예측모델의 개발 (Development of the Surface Forest Fire Behavior Prediction Model Using GIS)

  • 이병두;정주상;이명보
    • 한국산림과학회지
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    • 제94권6호
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    • pp.481-487
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    • 2005
  • 이 연구에서는 지표화 중심의 산불확산예측 알고리즘을 기반으로 GIS 환경에서 운용이 가능한 지표화 확산예측모델을 개발하였다. 이 모델은 지형, 연료, 기상 등 산불환경인자를 분석하고 입력하는 부분과 시간에 따라 확산속도, 화선에서의 산불강도, 연소면적을 예측하는 지표화 확산예측 부분, 마지막으로 예측결과를 사용자에게 제시하는 출력 부분으로 구성되었다. 산불확산속도를 계산하기 위해서 산불행동에 영향을 미치는 산불환경인자중에서 지형인자는 경사, 기상인자는 풍속, 풍향, 실효습도를 고려하였다. 또한 연료인자는 수치임상도를 이용하여 연료깊이, 연료량, 소화습도를 계산할 수 있는 연료모듈을 개발하여 입력되도록 하였다. 연료습도는 실효습도, 최고온도, 강수량, 일일 적산량의 함수관계로 추정하였다. 모델을 2002년 청양에서 발생한 산불에 적용한 결과 확산속도에 대해 61%의 일치도를 보였다.

TIME-DEPENDENT FRACTURE OF ARTICULAR CARTILAGE: PART 1 - THEORY & VALIDATION

  • 문무성
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1995년도 춘계학술대회
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    • pp.27-33
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    • 1995
  • A time-dependent large deformation fracture theory is developed for application to soft biological tissues. The theory uses the quasilinear viscoelastic theory of Fung, and particularizes it to constitutive assumptions on polyvinyl-chloride (PVC) (Part I) and cartilage (Part II). This constitutive theory is used in a general viscoelastic theory by Christensen and Naghdi and an energy balance to develop an expression for the fracture toughness of the materials. Experimental methods are developed for measuring the required constitutive parameters and fracture data for the materials. Elastic stress and reduced relaxation functions were determined using tensile and shear tests at high loading rates with rise times of 25-30 msec, and test times of 150 sec. The developed method was validated, using an engineering material, PVC to separate the error in the testing method from the inherent variation of the biological tissues. It was found that the the proposed constitutive modeling can predict the nonlinear stress-strain and the time-dependent behavior of the material. As an approximation method, a pseudo-elastic theory using the J-integral concept, assuming that the material is a time-independent large deformation elastic material, was also developed and compared with the time-dependent fracture theory. For PVC. the predicted fracture toughness is $1.2{\pm}0.41$ and $1.5{\pm}0.23\;kN/m$ for the time-dependent theory and the pseudo-elastic theory, respectively. The methods should be of value in quantifying fracture properties of soft biological tissues. In Part II, an application of the developed method to a biological soft tissue was made by using bovine humeral articular cartilage.

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J2 와 J3 불변량에 기초한 비대칭 항복함수의 제안(II) (Asymmetric Yield Functions Based on the Stress Invariants J2 and J3(II))

  • 김영석;눙엔푸반;안정배;김진재
    • 소성∙가공
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    • 제31권6호
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    • pp.351-364
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    • 2022
  • The yield criterion, or called yield function, plays an important role in the study of plastic working of a sheet because it governs the plastic deformation properties of the sheet during plastic forming process. In this paper, we propose a modified version of previous anisotropic yield function (Trans. Mater. Process., 31(4) 2022, pp. 214-228) based on J2 and J3 stress invariants. The proposed anisotropic yield model has the 6th-order of stress components. The modified version of the anisotropic yield function in this study is as follows. f(J20,J30) ≡ (J20)3 + α(J30)2 + β(J20)3/2 × (J30) = k6 The proposed anisotropic yield function well explains the anisotropic plastic behavior of various sheets such as aluminum, high strength steel, magnesium alloy sheets etc. by introducing the parameters α and β, and also exhibits both symmetrical and asymmetrical yield surfaces. The parameters included in the proposed model are determined through an optimization algorithm from uniaxial and biaxial experimental data under proportional loading path. In this study, the validity of the proposed anisotropic yield function was verified by comparing the yield surface shape, normalized uniaxial yield stress value, and Lankford's anisotropic coefficient R-value derived with the experimental results. Application for the proposed anisotropic yield function to AA6016-T4 aluminum and DP980 sheets shows symmetrical yielding behavior and to AZ31B magnesium shows asymmetric yielding behavior, it was shown that the yield locus and yielding behavior of various types of sheet materials can be predicted reasonably by using the proposed anisotropic yield function.