• 제목/요약/키워드: Exact Fraction Method

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The exact bearing capacity of strip footings on reinforced slopes using slip line method

  • Majd Tarrafa;Ehsan Seyedi Hosseininia
    • Geomechanics and Engineering
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    • 제38권3호
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    • pp.261-273
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    • 2024
  • This study presents a groundbreaking analytical approach to find an exact solution for the bearing capacity of strip footings on reinforced slopes, utilizing the two-phase approach and slip line method. The two-phase approach is considered as a generalized homogenization technique. The slip line method is leveraged to derive the stress field as a lower bound solution and the velocity field as an upper bound solution, thereby facilitating the attainment of an exact solution. The key finding points out the variation of the bearing capacity factor Nγ with influencing factors including the backfill soil friction angle, the footing setback distance from the slope crest edge, slope angle, strength, and volumetric fraction of inclusion layers. The results are evaluated by comparing them with those of relevant studies in the literature considering analytical and experimental studies. Through the application of the two-phase approach, it becomes feasible to determine the tensile loads mobilized along the inclusion layers associated with the failure zone. It is attempted to demonstrate the results by utilizing non-dimensional graphs to clearly illustrate variable impacts on reinforced soil stability. This research contributes significantly to advancing geotechnical engineering practices, specifically in the realm of static design considerations for reinforced soil structures.

강-열점소성 유한요소법을 이용한 반용융단조시 성형인자들의 영향에 관한 연구 (A Study on Effect of Forming Parameters in Semi-Solid Forging by Rigid-Thermoviscoplastic Finite Element Method)

  • 윤종훈;김낙수;임용택;이준두
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.179-184
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    • 1998
  • Semi-solid forging can be applied in industry only with enough knowledge of the effects of the forming parameters related with the process and their exact control which can be obtained by empirical or numerical methods. In the current study, the effects of process variables on semi-solid forging are discussed based on mainly numerical results. Die preheating temperature, initial solid fraction of the workpiece, and die velocity were selected as process variables, and numerical analyses using a rigid-thermoviscoplastic finite element approach that considered the release of latent heat due to phase change were carried out. In the analyses, a proposed flow stress material characterization and a solid fraction updating algorithm were employed. The obtained results from numerical analysis are discussed and are compared with some experimental observations.

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Reliability analysis-based conjugate map of beams reinforced by ZnO nanoparticles using sinusoidal shear deformation theory

  • Keshtegar, Behrooz;Kolahchi, Reza
    • Steel and Composite Structures
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    • 제28권2호
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    • pp.195-207
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    • 2018
  • First-order reliability method (FORM) is enhanced based on the search direction using relaxed conjugate reliability (RCR) approach for the embedded nanocomposite beam under buckling failure mode. The RCR method is formulated using discrete conjugate map with a limited scalar factor. A dynamical relaxed factor is proposed to control instability of proposed RCR, which is adjusted using sufficient descent condition. The characteristic of equivalent materials for nanocomposite beam are obtained by micro-electro-mechanical model. The probabilistic model of nanocomposite beam is simulated using the sinusoidal shear deformation theory (SSDT). The beam is subjected to external applied voltage in thickness direction and the surrounding elastic medium is modeled by Pasternak foundation. The governing equations are derived in terms of energy method and Hamilton's principal. Using exact solution, the implicit buckling limit state function of nanocomposite beam is proposed, which is involved various random variables including thickness of beam, length of beam, spring constant of foundation, shear constant of foundation, applied voltage, and volume fraction of ZnO nanoparticles in polymer. The robustness, accuracy and efficiency of proposed RCR method are evaluated for this engineering structural reliability problem. The results demonstrate that proposed RCR method is more accurate and robust than the excising reliability methods-based FORM. The volume fraction of ZnO nanoparticles and the applied voltage are the sensitive variables on the reliable levels of the nanocomposite beams.

Thermoelastic static and vibrational behaviors of nanocomposite thick cylinders reinforced with graphene

  • Moradi-Dastjerdi, Rasool;Behdinan, Kamran
    • Steel and Composite Structures
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    • 제31권5호
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    • pp.529-539
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    • 2019
  • Current paper deals with thermoelastic static and free vibrational behaviors of axisymmetric thick cylinders reinforced with functionally graded (FG) randomly oriented graphene subjected to internal pressure and thermal gradient loads. The heat transfer and mechanical analyses of randomly oriented graphene-reinforced nanocomposite (GRNC) cylinders are facilitated by developing a weak form mesh-free method based on moving least squares (MLS) shape functions. Furthermore, in order to estimate the material properties of GRNC with temperature dependent components, a modified Halpin-Tsai model incorporated with two efficiency parameters is utilized. It is assumed that the distributions of graphene nano-sheets are uniform and FG along the radial direction of nanocomposite cylinders. By comparing with the exact result, the accuracy of the developed method is verified. Also, the convergence of the method is successfully confirmed. Then we investigated the effects of graphene distribution and volume fraction as well as thermo-mechanical boundary conditions on the temperature distribution, static response and natural frequency of the considered FG-GRNC thick cylinders. The results disclosed that graphene distribution has significant effects on the temperature and hoop stress distributions of FG-GRNC cylinders. However, the volume fraction of graphene has stronger effect on the natural frequencies of the considered thick cylinders than its distribution.

침전이 수반되는 케이크 여과 II: 새로운 분석과 케이크에 도입되는 현탁액의 고체 질량분율 (Filtration with Sedimentation II: New Analysis and Solid Mass Fraction of Suspension Entering Cake)

  • 임성삼
    • Korean Chemical Engineering Research
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    • 제50권3호
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    • pp.535-544
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    • 2012
  • 수평 여과매체를 사용한 케이크 여과에서는 침전이 수반된다. 이 침전 현상을 고려하지 않을 경우 여과기간의 케이크 평균비저항 값이 두 배 이상까지도 잘못 측정될 수 있다. 저자의 전번 논문에서는 여과기간에 침전으로 인해 케이크에 들어가는 현탁액의 고체분율이 변화한다는 것을 이론적으로 주장하였으나, 그 변화가 어느 정도인지를 알아내지 못하였다. 이 논문에서는 먼저 여과-투과 실험방법에 대한 분석에서 투과기간에 측정된 케이크 평균비저항 값이 옳다는 것을 여러 방법으로 증명하고, 여과기간에 통상적인 방법으로 측정된 평균비저항 값은 여과가 진행되는 순간의 현탁액의 고체분율 대신 초기 고체분율을 사용하므로 정확하지 못하다는 것을 입증하였다. 여과와 투과에서 측정된 실험값을 사용하여, 여과 진행 동안 침전에 의해 변화한 현탁액의 고체분율을 계산하였다. 그 후 여과 진행 동안 측정한 현탁액의 높이 변화 값과 이 논문에서 새로 만든 수식을 사용하여 여과 진행 중의 현탁액 고체분율을 결정하였다. 두 가지 방법으로 결정된 현탁액의 고체분율을 비교하여 두 가지가 거의 일치함을 입증하였다.

Free vibration analysis of FG carbon nanotube reinforced composite plates using dynamic stiffness method

  • Shahabeddin Hatami;Mohammad Reza Bahrami
    • Steel and Composite Structures
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    • 제50권2호
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    • pp.135-148
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    • 2024
  • This paper analytically investigates the free vibration analysis of functionally graded-carbon nanotube reinforced composite (FG-CNTRC) plates by dynamic stiffness method (DSM). The properties of CNTRC are determined with the extended rule of mixture. The governing differential equations of motion based on the first-order shear deformation theory of CNTRC plate are derived using Hamilton's principle. The FG-CNTRC plates are studied for a uniform and two different distributions of carbon nanotubes (CNTs). The accuracy and performance of the DSM are compared with the results obtained from closed closed-form and semi-analytical solution methods in previous studies. In this study, the effects of boundary condition, distribution type of CNTs, plate aspect ratio, plate length to thickness ratio, and different values of CNTs volume fraction on the natural frequencies of the FG-CNTRC plates are investigated. Finally, various natural frequencies of the plates in different conditions are provided as a benchmark for comparing the accuracy and precision of the other analytical and numerical methods.

Nonlinear vibration analysis of FG porous shear deformable cylindrical shells covered by CNTs-reinforced nanocomposite layers considering neutral surface exact position

  • Zhihui Liu;Kejun Zhu;Xue Wen;Abhinav Kumar
    • Advances in nano research
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    • 제17권1호
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    • pp.61-73
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    • 2024
  • This paper presents nonlinear vibration analysis of a composite cylindrical shell. The core of the shell is made of functionally graded (FG) porous materials and layers is fabricated of carbon nanotubes (CNTs) reinforced nanocomposites. To increase the accuracy of results, neutral surface position is considered. First-order shear deformation theory is used as displacement field to derive the basic relations of equation motions. In addition, von-Karman nonlinear strains are employed to account geometric nonlinearity and to enhance the results' precision, the exact position of the neutral surface is considered. To governing the partial equations of motion, the Hamilton's principle is used. To reduce the equation motions into a nonlinear motion equation, the Galerkin's approach is employed. After that the nonlinear motion equation is solved by multiple scales method. Effect of various parameters such as volume fraction and distribution of CNTs along the thickness directions, different patterns and efficiency coefficients of porous materials, geometric characteristics and initial conditions on nonlinear to linear ratio of frequency is investigated.

An accurate analytical exploration for dynamic response of thermo-electric CNTRC beams under driving harmonic and constant loads resting on Pasternak foundation

  • Mohammadreza Eghbali;Seyed Amirhosein Hosseini
    • Advances in nano research
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    • 제16권6호
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    • pp.549-564
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    • 2024
  • This paper aims to analyze the dynamic response of thermoelectric carbon nanotube-reinforced composite (CNTRC) beams under moving harmonic load resting on Pasternak elastic foundation. The governing equations of thermoelectric CNTRC beam are obtained based on the Karama shear deformation beam theory. The beams are resting on the Pasternak foundation. Previous articles have not performed the moving load mode with the analytical method. The exact solution for the transverse and axial dynamic response is presented using the Laplace transform. A comparison of previous studies has been published, where a good agreement is observed. Finally, some examples were used to analyze, such as excitation frequency, voltage, temperature, spring constant factors, the volume fraction of Carbon nanotubes (CNTs), the velocity of a moving harmonic load, and their influence on axial and transverse dynamic and maximum deflections. The advantages of the proposed method compared to other numerical methods are zero reduction of the error percentage that exists in numerical methods.

낮은 교통밀도 하에서 서버 고장을 고려한 복수 서버 대기행렬 모형의 체제시간에 대한 분석 (On the Exact Cycle Time of Failure Prone Multiserver Queueing Model Operating in Low Loading)

  • 김우성;임대은
    • 산업경영시스템학회지
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    • 제39권2호
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    • pp.1-10
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    • 2016
  • In this paper, we present a new way to derive the mean cycle time of the G/G/m failure prone queue when the loading of the system approaches to zero. The loading is the relative ratio of the arrival rate to the service rate multiplied by the number of servers. The system with low loading means the busy fraction of the system is low. The queueing system with low loading can be found in the semiconductor manufacturing process. Cluster tools in semiconductor manufacturing need a setup whenever the types of two successive lots are different. To setup a cluster tool, all wafers of preceding lot should be removed. Then, the waiting time of the next lot is zero excluding the setup time. This kind of situation can be regarded as the system with low loading. By employing absorbing Markov chain model and renewal theory, we propose a new way to derive the exact mean cycle time. In addition, using the proposed method, we present the cycle times of other types of queueing systems. For a queueing model with phase type service time distribution, we can obtain a two dimensional Markov chain model, which leads us to calculate the exact cycle time. The results also can be applied to a queueing model with batch arrivals. Our results can be employed to test the accuracy of existing or newly developed approximation methods. Furthermore, we provide intuitive interpretations to the results regarding the expected waiting time. The intuitive interpretations can be used to understand logically the characteristics of systems with low loading.

Double-lap-joint 로 2차 보강 접착을 한 FRP Sandwich Beam의 굽힘 거동 특성에 관한 연구 (A Study on bending behavior of FRP sandwich beam with 2nd reinforced by double-lap-joint)

  • 손충열;김익태;노민식;김성준;김상호
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 춘계학술대회 논문집
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    • pp.185-190
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    • 2002
  • It has made a special study of bending behavior of F.R.P sandwich beams with bonded 2nd-reinforced plies. Specimens were made of Chopped Mat 300-450, Roving Clothes 570 and the mixture weight ratio of Resin versus hardener was 55:45 for bending tests. it was fabricated by hand lay-up method, hardened for 24 hours in nature, cut specimens according to ASTM standard C393-94 Knowing exact behavior of bonded area's stress and strain depends upon various bonded F.R.P length on which covered lap joint. We also considered shear stress in adhered area and have done computational estimation by ANSYS as well. This study reveals that the length of plies covered lap joint are longer, Failure stresses are remarkably larger.

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