• Title/Summary/Keyword: simplified solution

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Performance of laterally loaded piles considering soil and interface parameters

  • Fatahi, Behzad;Basack, Sudip;Ryan, Patrick;Zhou, Wan-Huan;Khabbaz, Hadi
    • Geomechanics and Engineering
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    • v.7 no.5
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    • pp.495-524
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    • 2014
  • To investigate the soil-pile interactive performance under lateral loads, a set of laboratory model tests was conducted on remoulded test bed of soft clay and medium dense sand. Then, a simplified boundary element analysis had been carried out assuming floating pile. In case of soft clay, it has been observed that lateral loads on piles can initiate the formation of a gap, soil heave and the tension crack in the vicinity of the soil surface and the interface, whereas in medium dense sand, a semi-elliptical depression zone can develop. Comparison of test and boundary element results indicates the accuracy of the solution developed. However, in the boundary element analysis, the possible shear stresses likely to be developed at the interface are ignored in order to simplify the existing complex equations. Moreover, it is unable to capture the influence of base restraint in case of a socketed pile. To bridge up this gap and to study the influence of the initial stress state and interface parameters, a field based case-study of laterally-loaded pile in layered soil with socketed tip is explored and modelled using the finite element method. The results of the model have been verified against known field measurements from a case-study. Parametric studies have been conducted to investigate the influence of the coefficient of lateral earth pressure and the interface strength reduction factor on the results of the model.

A New Method to Calculate Pseudoskin Factor of a Partially-Penetrating Well (부분관통정의 유사표피인자 계산을 위한 새로운 방법)

  • Lee, Kun-Sang
    • Journal of the Korean Society of Groundwater Environment
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    • v.6 no.1
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    • pp.42-47
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    • 1999
  • This study considers pseudosteady-state flow to a restricted-entry well in a single or multilayer aquifer with crossflow. A simple method for calculating the pseudoskin factor caused by partial penetration is presented to overcome a limited applicability in geometrical or computational aspects of previous methods. The computation is based on the solution of a simplified pseudosteady-state equation that describes the long-time behavior of the closed radial system. We illustrate the applicability of this method to various types of cylindrical systems and provide the results graphically. Comparisons with previously published results have indicated that this method yields highly accurate estimates of pseu-doskin factor with minimum computational effort. This method has also shown to be particularly useful for geometrically-complicated systems. Greatly improved computational efficiency of pseudosteady-state approach permits the engineer to easily account for the effect of partial penetration on the late-time performance of a well.

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An Optimal Pricing and Inventory control for a Commodity with Price and Sales-period Dependent Demand Pattern

  • Sung, Chang-Sup;Yang, Kyung-Mi;Park, Sun-Hoo
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.904-913
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    • 2005
  • This paper deals with an integrated problem of inventory control and dynamic pricing strategies for a commodity with price and sales-period dependent demand pattern, where a seller and customers have complete information of each other. The problem consists of two parts; one is each buyer's benefit problem which makes the best decision on price and time for buyer to purchase items, and the other one is a seller's profit problem which decides an optimal sales strategy concerned with inventory control and discount schedule. The seller's profit function consists of sales revenue and inventory holding cost functions. The two parts are closely related into each other with some related variables, so that any existing general solution methods can not be applied. Therefore, a simplified model with single seller and two customers in considered first, where demand for multiple units is allowed to each customer within a time limit. Therewith, the model is generalized for a n-customer-classes problem. To solve the proposed n-customer-set problem, a dynamic programming algorithm is derived. In the proposed dynamic programming algorithm, an intermediate profit function is used, which is computed in case of a fixed initial inventory level and then adjusted in searching for an optimal inventory level. This leads to an optimal sales strategy for a seller, which can derive an optimal decision on both an initial inventory level and a discount schedule, in $O(n^2)$ time. This result can be used for some extended problems with a small customer set and a short selling period, including sales strategy for department stores, Dutch auction for items with heavy holding cost, open tender of materials, quantity-limited sales, and cooperative buying in the on/off markets.

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Grid-Connected Dual Stator-Winding Induction Generator Wind Power System for Wide Wind Speed Ranges

  • Shi, Kai;Xu, Peifeng;Wan, Zengqiang;Bu, Feifei;Fang, Zhiming;Liu, Rongke;Zhao, Dean
    • Journal of Power Electronics
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    • v.16 no.4
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    • pp.1455-1468
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    • 2016
  • This paper presents a grid-connected dual stator-winding induction generator (DWIG) wind power system suitable for wide wind speed ranges. The parallel connection via a unidirectional diode between dc buses of both stator-winding sides is employed in this DWIG system, which can output a high dc voltage over wide wind speed ranges. Grid-connected inverters (GCIs) do not require booster converters; hence, the efficiency of wind energy utilization increases, and the hardware topology and control strategy of GCIs are simplified. In view of the particularities of the parallel topology and the adopted generator control strategy, we propose a novel excitation-capacitor optimization solution to reduce the volume and weight of the static excitation controller. When this excitation-capacitor optimization is carried out, the maximum power tracking problem is also considered. All the problems are resolved with the combined control of the DWIG and GCI. Experimental results on the platform of a 37 kW/600 V prototype show that the proposed DWIG wind power system can output a constant dc voltage over wide rotor speed ranges for grid-connected operations and that the proposed excitation optimization scheme is effective.

Recent results on the analysis of viscoelastic constitutive equations

  • Kwon, Youngdon
    • Korea-Australia Rheology Journal
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    • v.14 no.1
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    • pp.33-45
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    • 2002
  • Recent results obtained for the port-pom model and the constitutive equations with time-strain separability are examined. The time-strain separability in viscoelastic systems Is not a rule derived from fundamental principles but merely a hypothesis based on experimental phenomena, stress relaxation at long times. The violation of separability in the short-time response just after a step strain is also well understood (Archer, 1999). In constitutive modeling, time-strain separability has been extensively employed because of its theoretical simplicity and practical convenience. Here we present a simple analysis that verifies this hypothesis inevitably incurs mathematical inconsistency in the viewpoint of stability. Employing an asymptotic analysis, we show that both differential and integral constitutive equations based on time-strain separability are either Hadamard-type unstable or dissipative unstable. The conclusion drawn in this study is shown to be applicable to the Doi-Edwards model (with independent alignment approximation). Hence, the Hadamardtype instability of the Doi-Edwards model results from the time-strain separability in its formulation, and its remedy may lie in the transition mechanism from Rouse to reptational relaxation supposed by Doi and Edwards. Recently in order to describe the complex rheological behavior of polymer melts with long side branches like low density polyethylene, new constitutive equations called the port-pom equations have been derived in the integral/differential form and also in the simplifled differential type by McLeish and carson on the basis of the reptation dynamics with simplifled branch structure taken into account. In this study mathematical stability analysis under short and high frequency wave disturbances has been performed for these constitutive equations. It is proved that the differential model is globally Hadamard stable, and the integral model seems stable, as long as the orientation tensor remains positive definite or the smooth strain history in the flow is previously given. However cautious attention has to be paid when one employs the simplified version of the constitutive equations without arm withdrawal, since neglecting the arm withdrawal immediately yields Hadamard instability. In the flow regime of creep shear flow where the applied constant shear stress exceeds the maximum achievable value in the steady flow curves, the constitutive equations exhibit severe instability that the solution possesses strong discontinuity at the moment of change of chain dynamics mechanisms.

Numerical Analysis on Plasma Particles inside Electro-magnetic Field Using Particle-in-cell Method (Particle-in-cell 기법을 이용한 전자기장내 플라즈마 입자의 거동 해석)

  • Han, Doo-Hee;Joe, Min-Kyung;Shin, Junsu;Sung, Hong-Gye;Kim, Su-Kyum
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.11
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    • pp.932-938
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    • 2017
  • Particle-in-cell method which blends Eulerian grids and Lagrangian particle is utilized to solve simplified hall-effect thruster. Since this study individually tracks not only neutrons and ions but also electrons, message passing interface(mpi) scheme is adopted for parallel computer cluster. Helical movement of an electron cloud in constant magnetic field is validated comparing with an exact solution. A plasma in radial magnetic field and axial electric field in a reaction cylinder is established. Electrons do double helix movement and are well anchored in a cylinder. Ionization of neutrons by impact with high-speed electrons generates ion particles. They are accelerated by axial electric field, which forms a plume of a plasma-effect thruster.

Crystallization Kinetics of NTO in a Batch Cooling Crystallizer (회분식 냉각 결정화기에서 NTO의 결정화 메카니즘)

  • Kim, K.J.;Kim, M.J.;Yeom, C.K.;Lee, J.M.;Choi, H.S.;Kim, H.S.;Park, B.S.
    • Applied Chemistry for Engineering
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    • v.9 no.7
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    • pp.974-978
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    • 1998
  • The kinetics of crystal growth and nucleation in dependence on the supersaturation of an aqueous solution of 3-nitro-1,2,4-triazol-5-one(NTO) were evaluated on the draft tube-baffle(DTB) crystallizer operated batchwise. The crystal growth rate is proportional to the supersaturation to the 2.9 power, and the nucleation rate to the 4.2 power. The uncleation behavior for NTO-water system in DTB crystallizer was grasped according to Mersmann's criteria. The nucleation in this crystallizer was found to act with heterogeneous nucleation and surface uncleation simultaneously. Simplified relation was derived for calculation of mean crystal size of product crystals from the batch cooling crystallizer. The obtained relation was verified by a set of experiments.

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Estimation of Icebreaking Forces and Failure Length of Ice Rubbles on Infinite Ice Sheet (무한 빙판에서의 쇄빙력과 파단 빙편의 크기 예측)

  • Choi, Kyung-Sik;Lee, Jin-Kyoung;Kim, Hyun-Soo;Chun, Ho-Hwan
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.6
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    • pp.75-83
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    • 2004
  • Ice rubble pieces broken by the bow impact load and side hull of an icebreaking vessel usually pass along the ship's bottom hull and may hit the propeller/rudder or other stern structures causing serious damage to ship's hull . Therefore it is important to estimate the size of broken ice pieces during the icebreaking process. The dynamic interaction process of icebreaker with infinite ice sheet is simplified as a wedge type beam of finite length supported by elastic foundation. The wedge type ice beam is leaded with vertical impact forces due to the inclined bow stem of icebreaking vessels. The numerical model provides locations of maximum dynamic bending moment where extreme tensile stress arises and also possible fracture occurs. The model can predict a failure length of broken ice sheet given design parameters. The results are compared to Nevel(1961)'s analytical solution for static load and observed pattern of ice sheet failure onboard an icebreaker. Also by comparing computed failure length with the characteristic length, the meaning of ice rubble sizes is discussed.

Synthesis of Size Controlled Spherical Silica Nanoparticles via Sol-Gel Process within Hydrophilic Solvent

  • Kim, Tae Gyun;An, Gye Seok;Han, Jin Soon;Hur, Jae Uk;Park, Bong Geun;Choi, Sung-Churl
    • Journal of the Korean Ceramic Society
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    • v.54 no.1
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    • pp.49-54
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    • 2017
  • In this study, based on hydrolysis and condensation via $St{\ddot{o}}ber$ process of sol-gel method, synthesis of mono-dispersed silica nanoparticles was carried out with hydrophilic solvent. This operation was expected to be a more simplified process than that with organic solvent. Based on the sol-gel method, which involves simply controlling the particle size, the particle size of the synthesized silica specimens were ranged from 30 to 300 nm by controlling the composition of tetraethylorthosilicate (TEOS), DI water and ammonia solution, and by varying the stirring speeds while maintaining a fixed amount of ethanol. Increasing the content of DI water and decreasing the content of ammonia caused the particle size to decrease, while controlling the stirring speed at a high level of RPMs enabled a decrease of the particle size. X-ray diffraction (XRD) and Fourier transform infrared spectroscopy (FT-IR) were utilized to investigate the success factors for synthesizing process; Field emission scanning electron microscopy (FE-SEM) was used to study the effects of the size and morphology of the synthesized particles. To analyze the dispersion properties, zeta potential and particle size distribution (PSD) analyses were utilized.

Two-Dimensional Finite Element Analysis of Stream Water Quality (하천수질(河川水質)의 2차원(次元) 유한요소해석(有限要素解析))

  • Shin, Eung Bai;Suh, Seung Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.3
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    • pp.89-98
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    • 1987
  • Analyzed by using finite element method was 2-dimensional pollutant transtport phenomenon considering longitudinal and lateral direction in river. The Galerkin's finite element method based on linear interpolation is used and triangle is adopted as an element. In a number of model test attempts it has been demonstrated that the results calculated by the model are in good agreement with analytical solutions in a simplified channel where there is a known solution available. Actual application of the model is attempted along the 9km reach of the Han River considering the influx of the Tan Cheon and the Joongryang Cheon. The resultant 2-dimensional BOD concentrations profile in the reach is exhibiting more realistically the field situations than conventional 1-dimensional models are.

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