• Title/Summary/Keyword: lagrangian analysis

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Numerical Analysis of Two-Phase Aluminum Dust Combustion according to Single Aluminum Particle Combustion Model (단일 알루미늄 입자 연소 모델에 따른 2상 알루미늄 분말 연소장 시뮬레이션)

  • Kim, Sang-Min;Yang, Hee-Sung;Yoon, Woong-Sup
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.05a
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    • pp.460-466
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    • 2010
  • 단일 알루미늄의 연소 모델을 사용하여 알루미늄 분말의 점화 과정에 대한 전산유체 해석 기법을 개발하였다. 유동의 계산은 Reynolds averaged Navier-Stokes식을 사용하였으며, $k-{\epsilon}$ 난류모델을 적용하였다. 입자는 Eulerian-Lagrangian 방법을 사용하여 유동과 독립적으로 계산을 수행하였으며 상용 전산유체해석 프로그램인 Fluent 6.3을 사용하여 해석을 수행하였다. 단일 모델에서 사용한 대류 및 복사 열전달, 표면이상반응, 알루미늄의 용융열을 입자 가열원으로 고려하였다. 같은 조건을 사용하여 단일 입자 모델 계산과 전산유체해석을 수행하였으며, 두 결과는 5% 이내로 잘 일치 하였다. 이를 통해 전산유체해석에서 알루미늄의 점화를 모사할 수 있음을 확인하였다.

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A Study on Inventory Control Policy for Quantity-Discount and Budget Constraint (수량 할인과 예산 제약을 고려한 재고관리 정책에 관한 연구)

  • Lee, Dongju
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.38 no.2
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    • pp.145-151
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    • 2015
  • As order quantity is increased, the ordering cost per item will be cheaper due to saving of transportation and material handling costs. In this paper, two realistic assumptions such as quantity discount and budget limit are considered. Quantity discount means that all units in the order will be discounted according to the predetermined order levels. Budget limit represents that the costs for inventory investments are bounded. This paper develops a Lagrangian relaxation approach for a continuous review inventory model with a budget constraint and quantity discounts. Computational results indicate that the proposed approach provides a good solution. Sensitivity analysis is done to get some insights on budget limit and quantity discount. As budget limit or the amount of discount according to order quantity is increased, order quantity is increased, whereas reorder point is not always increased.

Efficiency Prediction of the Particle Removal Efficiency of Multi Inner Stage(MIS) Cyclone by Computational Fluid Dynamics(CFD) Analysis and Experimental Verification (CFD 해석을 이용한 Multi Inner Stage Cyclone 내부의 미세입자제거 효율 예측 및 실험적 검증)

  • Kim, Hye-Min;Kwon, Sung-An;Lee, Sang-Jun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2012.07a
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    • pp.243-246
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    • 2012
  • A new multi inner stage(MIS) cyclone was designed to remove the acidic gas and minute particles of harmful materials produced from electronic industry. To characterize gas flow in MIS cyclone, pressure and velocity distribution were calculated by means of computational fluid dynamics(CFD) commercial program. Also, the flow locus of particles and particle removal efficiency were analyzed by Lagrangian method. When outlet pressure condition was -1,000 Pa, the efficiency was the best in this study. Based on the CFD simulation result, the pressure loss and destruction removal efficiency was measured through MIS cyclone experiment.

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A study on the nonlinear analysis of spatial frame structures with nonlinear rotational spring elements (비선형 회전 스프링 요소를 갖는 공간 프레임의 구조의 비선형 해석에 관한 연구)

  • 이병채;박문식
    • Journal of the korean Society of Automotive Engineers
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    • v.12 no.2
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    • pp.29-42
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    • 1990
  • Three dimensional frame structures with such nonlinearities as large displacements, medium rotations, plastic hinges and local defects are efficiently analyzed by introducing the nonlinear rotational spring. Formulations are based on the incremental updated Lagrangian descriptions and the virtual work principle, Axial displacement and twisted angle in beam elements are interpolated linearly, while bending displacements are approximated by the Hermite polynomials. The modified are length method is used as a solution method. The moment-angle of rotation relationship obtained analytically or experimentally can be easily incorporated into the solution procedure. Several examples tested show that the present method can be used efficiently in analyzing nonlinear frame structures with plastic hinges or local defect.

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Numerical Simulation of Two-Phase Flow field and Performance Prediction for Solid Rocket Motor Nozzle

  • Wahab, Shafqat;Kan, Xie;Yu, Liu
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.275-282
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    • 2008
  • This paper presents numerical investigation of multi-phase flow in solid rocket motor nozzle and effect of multi-phases on the performance prediction of the Solid Rocket Motor. Aluminized propellants are frequently used in solid rocket motors to increase specific impulse. An Eulerian-Lagrangian description has been used to analyze the motion of the micrometer sized and discrete phase that consist of the larger particulates present in the Solid Rocket Motor. Uniform particles diameters and Rosin-Rammler diameter distribution method has been used for the simulation of different burning of aluminum droplets generating aluminum oxide smokes. Roe-FDS scheme has been used to simulate the effects of the multi-phase flow. The results obtained show the sensitivity of this distribution to the nozzle flow dynamics, primarily at the nozzle inlet and exit. The analysis also provides effect of two phases on performance prediction of Solid Rocket Motor.

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Numerical study on the walking load based on inverted-pendulum model

  • Cao, Liang;Liu, Jiepeng;Zhang, Xiaolin;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • v.71 no.3
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    • pp.245-255
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    • 2019
  • In this paper, an inverted-pendulum model consisting of a point supported by spring limbs with roller feet is adopted to simulate human walking load. To establish the kinematic motion of first and second single and double support phases, the Lagrangian variation method was used. Given a set of model parameters, desired walking speed and initial states, the Newmark-${\beta}$ method was used to solve the above kinematic motion for studying the effects of roller radius, stiffness, impact angle, walking speed, and step length on the ground reaction force, energy transfer, and height of center of mass transfer. The numerical simulation results show that the inverted-pendulum model for walking is conservative as there is no change in total energy and the duration time of double support phase is 50-70% of total time. Based on the numerical analysis, a dynamic load factor ${\alpha}_{wi}$ is proposed for the traditional walking load model.

OPTIMIZATION TECHNIQUE FOR HIGH QUALITY RECTIFIERS

  • Youssef, Hosam K.;Ismail, Esam H.
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.235-240
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    • 1998
  • A procedure for the optimal design of high quality rectifiers is introduced in this paper. The procedure is capable of producing different optimal designs for the same rectifier based on the objective performance required from that rectifier. A FORTRAN-based computer system designed to solve large-scale optimization problems was used in this work to obtain the optimal designs. The optimization program uses Wolfe algorithm in conjunction with a quasi-Newton algorithm as well as a projected augmented Lagrangian algorithm to solve the highly nonlinear optimization problem. The paper also introduces a detailed analysis and an application of the procedure on a boost-type zero-current switch (ZCS) single-switch three-phase rectifier introduced recently in the literature. The obtained results are compared with popular simulation packages (i. e. PSPICE and SIMCAD) to support the validity of the proposed concept.

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Stability and frequency response analysis of multipurpose vehicle using linear vehicle model (다용도 차량의 선형 모델을 이용한 직진 안전성 및 주파수 응답해석)

  • Kim, B.K.;Kim, W.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.124-129
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    • 1997
  • The purpose of this study is to predict the stability and frequency response of multipurpose vehicle. The vehicle model has seven degrees of freedom. The motion equations are derived by using Lagrangian equation and linearized. The positions of eigenvalues of model which are dominated by lateral velocity, yaw rate, roll rate of sprung mass are used to predict the stability of motion. The resonse of sprung mass to steering wheel is simulated in time domain. It is predicted that the roll response of sprung mass would rather be improved by modifying the position of eigenvalues. The responses of sprung mass to steering wheel are also simulated in frequency domain. The magnitude and phase plots of gains are evaluated in driver's steering input frequency range.

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p-Version Finite Element Analysis of Composite Laminated Plates with Geometric and Material Nonlinearities (기하 및 재료비선형을 갖는 적층평판의 p-Version 유한요소해석)

  • 홍종현;박진환;우광성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.491-499
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    • 2002
  • A p-version finite element model based on degenerate shell element is proposed tot the analysis of orthotropic laminated plates. In the nonlinear formulation of the model, the total Lagrangian formulation is adopted with large deflection and moderate rotation being accounted tot in the sense of yon Karman hypothesis. The material model is based on the Huber-Mises yield criterion and Prandtl-Reuss flow rule in accordance with the theory of strain hardening yield function, which is generalized lot anisotropic materials by introducing the parameters of anisotropy. The model is also based on extension of equivalent-single layer laminate theory(ESL theory) with shear deformation, leading to continuous shear strain at the interface of two layers. The integrals of Legendre polynomials are used for shape functions with p-level varying from 1 to 10. Gauss-Lobatto numerical quadrature is used to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed P-version finite element model is demonstrated through several comparative points of iew in terms of ultimate load, convergence characteristics, nonlinear effect, and shape of plastic tone.

Estimation of the Terminal Velocity of the Worst-Case Fragment in an Underwater Torpedo Explosion Using an MM-ALE Finite Element Simulation (MM-ALE 유한요소 시뮬레이션을 이용한 수중 어뢰폭발에서의 최악파편의 종단속도 추정)

  • Choi, Byung-Hee;Ryu, Chang-Ha
    • Explosives and Blasting
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    • v.37 no.3
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    • pp.13-24
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    • 2019
  • This paper was prepared to investigate the behavior of fragments in underwater torpedo explosion beneath a frigate or surface ship by using an explicit finite element analysis. In this study, a fluid-structure interaction (FSI) methodology, called the multi-material arbitrary Lagrangian-Eulerian (MM-ALE) approach in LS-DYNA, was employed to obtain the responses of the torpedo fragments and frigate hull to the explosion. The Euler models for the analysis were comprised of air, water, and explosive, while the Lagrange models consisted of the fragment and the hull. The focus of this modeling was to examine whether a worst-case fragment could penetrate the frigate hull located close (4.5 m) to the exploding torpedo. The simulation was performed in two separate steps. At first, with the assumption that the expanding skin of the torpedo had been torn apart by consuming 30% of the explosive energy, the initial velocity of the worst-case fragment was sought based on a well-known experimental result concerning the fragment velocity in underwater bomb explosion. Then, the terminal velocity of the worst-case fragment that is expected to occur before the fragment hit the frigate hull was sought in the second step. Under the given conditions, the possible initial velocities of the worst-case fragment were found to be very fast (400 and 1000 m/s). But, the velocity difference between the fragment and the hull was merely 4 m/s at the instant of collision. This result was likely to be due to both the tremendous drag force exerted by the water and the non-failure condition given to the frigate hull. Anyway, at least under the given conditions, it is thought that the worst-case fragment seldom penetrate the frigate hull because there is no significant velocity difference between them.