• Title/Summary/Keyword: explicit iteration method

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Integration of Stress-Strain Rate Equations of CASM

  • Koh, Tae-Hoon
    • International Journal of Railway
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    • v.3 no.4
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    • pp.117-122
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    • 2010
  • In transportation geotechnical engineering, stress-strain behavior of earth structures has been analyzed by numerical simulations with the implemented plasticity constitutive model. It is a fact that many advanced plasticity constitutive models on predicting the mechanical behavior of soils have been developed as well as experimental research works for geotechnical applications in the past decades. In this study, recently developed, a unified constitutive model for both clay and sand, which is referred to as CASM (clay and sand model), was compared with a classical constitutive model, Cam-Clay model. Moreover, integration methods of stress-strain rate equations using CASM were presented for simulation of undrained and drained triaxial compression tests. As a conclusion, it was observed that semi-implicit integration method has more improved accuracy of capturing strain rate response to applied stress than explicit integration by the multiple correction and iteration.

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Structural reliability analysis using response surface method with improved genetic algorithm

  • Fang, Yongfeng;Tee, Kong Fah
    • Structural Engineering and Mechanics
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    • v.62 no.2
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    • pp.139-142
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    • 2017
  • For the conventional computational methods for structural reliability analysis, the common limitations are long computational time, large number of iteration and low accuracy. Thus, a new novel method for structural reliability analysis has been proposed in this paper based on response surface method incorporated with an improved genetic algorithm. The genetic algorithm is first improved from the conventional genetic algorithm. Then, it is used to produce the response surface and the structural reliability is finally computed using the proposed method. The proposed method can be used to compute structural reliability easily whether the limit state function is explicit or implicit. It has been verified by two practical engineering cases that the algorithm is simple, robust, high accuracy and fast computation.

Seismic fragility analysis of conventional and viscoelastically damped moment resisting frames

  • Guneyisi, Esra Mete;Sahin, Nazli Deniz
    • Earthquakes and Structures
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    • v.7 no.3
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    • pp.295-315
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    • 2014
  • This paper presents the results of an analytical study on seismic reliability of viscoelastically damped frame systems in comparison with that of conventional moment resisting frame systems. In order to exhibit the reliability of the frame systems with viscoelastic dampers, seismic reliability analyses were carried out for steel framed buildings, 5 and 12 storeys in height, designed as: (a) Case 1: Conventional moment resisting frame, (b) Case 2: Frame with viscoelastic dampers providing supplemental effective damping ratio of 10%, and (c) Case 3: Frame with viscoelastic dampers providing supplemental effective damping ratio of 20%. Nonlinear time history analyses were utilized to develop seismic fragility curves whilst monitoring various performance objectives. To obtain robust estimators of the seismic reliability, a database including 15 natural earthquake ground motion records with markedly different characteristics was employed in the fragility analysis. The results indicate that depending upon the supplemental effective damping ratio, frames designed with viscoelastic dampers have considerably lower annual probability of exceedance of performance limit states for structural components, showing up to a five-fold reduction in comparison to conventionally designed moment resisting frame system.

Simple Design of Seepage Flow (침투류 간편설계)

  • Yu, Dong-Hun;Eom, Ho-Sik
    • Journal of Korea Water Resources Association
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    • v.32 no.1
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    • pp.31-40
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    • 1999
  • After investigating the basic problems of seepage flow, the friction factor equation of power form was developed for solving them. The use of power law for the estimation on friction factor enabled to develop the explicit form of equations without any iteration process being related to various non-dimensional physical numbers. For the derivation of friction factor equations, the existing data were re-analyzed, and the simple method of seepage flow design was devised with the power law equations for the estimation of slope, discharge, and diameter.

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Sequential Approximate Optimization by Dual Method Based on Two-Point Diagonal Quadratic Approximation (이점 대각 이차 근사화 기법을 쌍대기법에 적용한 순차적 근사 최적설계)

  • Park, Seon-Ho;Jung, Sang-Jin;Jeong, Seung-Hyun;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.3
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    • pp.259-266
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    • 2011
  • We present a new dual sequential approximate optimization (SAO) algorithm called SD-TDQAO (sequential dual two-point diagonal quadratic approximate optimization). This algorithm solves engineering optimization problems with a nonlinear objective and nonlinear inequality constraints. The two-point diagonal quadratic approximation (TDQA) was originally non-convex and inseparable quadratic approximation in the primal design variable space. To use the dual method, SD-TDQAO uses diagonal quadratic explicit separable approximation; this can easily ensure convexity and separability. An important feature is that the second-derivative terms of the quadratic approximation are approximated by TDQA, which uses only information on the function and the derivative values at two consecutive iteration points. The algorithm will be illustrated using mathematical and topological test problems, and its performance will be compared with that of the MMA algorithm.

Development of Thermal-Hydraulic-Mechanical Coupled Numerical Analysis Code for Complex Behavior in Jointed Rock Mass Based on Fracture Mechanics (균열 암반의 복합거동해석을 위한 열-수리-역학적으로 연계된 파괴역학 수치해석코드 개발)

  • Kim, Hyung-Mok;Park, Eui-Seob;Shen, Baotang;Synn, Joong-Ho;Kim, Taek-Kon;Lee, Seong-Cheol;Ko, Tae-Young;Lee, Hee-Suk;Lee, Jin-Moo
    • Tunnel and Underground Space
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    • v.21 no.1
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    • pp.66-81
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    • 2011
  • In this study, it was aimed to develop a thermal-hydraulic-mechanical coupled fracture mechanics code that models a fracture initiation, propagation and failure of underground rock mass due to thermal and hydraulic loadings. The development was based on a 2D FRACOD (Shen & Stephasson, 1993), and newly developed T-M and H-M coupled analysis modules were implemented into it. T-M coupling in FRACOD employed a fictitious heat source and time-marching method, and explicit iteration method was used in H-M coupling. The validity of developed coupled modules was verified by the comparison with the analytical result, and its applicability to the fracture initiation and propagation behavior due to temperature changes and hydraulic fracturing was confirmed by test simulations.