• 제목/요약/키워드: compatibility equations

검색결과 109건 처리시간 0.03초

범용 DEM 데이터를 이용한 2차원 홍수범람 모형의 개발 (Development of a Grid Based Two-Dimensional Numerical Method for Flood Inundation Modeling Using Globally-Available DEM Data)

  • 이승수;이기하;정관수
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2010년도 학술발표회
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    • pp.659-663
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    • 2010
  • In recent, flood inundation damages by hydraulic structure failures have increased drastically and thus a variety of countermeasures were needed to minimize such damages. A real-time flood inundation prediction technique is essential to protect and mitigate flood inundation damages. In the context of real time flood inundation modeling, this study aims to develop a grid based two-dimensional numerical method for flood inundation modeling using globally-available DEM data: SRTM with $90m{\times}90m$ spatial resolution. The newly-developed model guarantees computational efficiency in terms of geometric data processing by direct application of DEM for flood inundation modeling and also have good compatibility with various types of raster data when compared to a commercial model such as FLUMEN. The model, which employed the leap-frog algorithm to solve shallow water and continuity equations, can simulate inundating flow from channel to lowland and also returning flow from lowland to channel by comparing water levels between channel and lowland in real time. We applied the model to simulate the BaekSan levee break in the Nam river during a flood period from August 10 to 13, 2002. The simulation results had good agreements with the field-surveyed data in terms of inundated area and also showed physically-acceptable velocity vector maps with respect to inundating and returning flows.

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Analysis of trusses by total potential optimization method coupled with harmony search

  • Toklu, Yusuf Cengiz;Bekdas, Gebrail;Temur, Rasim
    • Structural Engineering and Mechanics
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    • 제45권2호
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    • pp.183-199
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    • 2013
  • Current methods of analysis of trusses depend on matrix formulations based on equilibrium equations which are in fact derived from energy principles, and compatibility conditions. Recently it has been shown that the minimum energy principle, by itself, in its pure and unmodified form, can well be exploited to analyze structures when coupled with an optimization algorithm, specifically with a meta-heuristic algorithm. The resulting technique that can be called Total Potential Optimization using Meta-heuristic Algorithms (TPO/MA) has already been applied to analyses of linear and nonlinear plane trusses successfully as coupled with simulated annealing and local search algorithms. In this study the technique is applied to both 2-dimensional and 3-dimensional trusses emphasizing robustness, reliability and accuracy. The trials have shown that the technique is robust in two senses: all runs result in answers, and all answers are acceptable as to the reliability and accuracy within the prescribed limits. It has also been shown that Harmony Search presents itself as an appropriate algorithm for the purpose.

A numerical stepwise approach for cavity expansion problem in strain-softening rock or soil mass

  • Zou, Jin-Feng;Yang, Tao;Ling, Wang;Guo, Wujun;Huang, Faling
    • Geomechanics and Engineering
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    • 제18권3호
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    • pp.225-234
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    • 2019
  • A numerical stepwise approach for cavity expansion problem in strain-softening rock or soil mass is investigated, which is compatible with Mohr-Coulomb and generalized Hoek-Brown failure criteria. Based on finite difference method, plastic region is divided into a finite number of concentric rings whose thicknesses are determined internally to satisfy the equilibrium and compatibility equations, the material parameters of the rock or soil mass are assumed to be the same in each ring. For the strain-softening behavior, the strength parameters are assumed to be a linear function of deviatoric plastic strain (${\gamma}p^*$) for each ring. Increments of stress and strain for each ring are calculated with the finite difference method. Assumptions of large-strain for soil mass and small-strain for rock mass are adopted, respectively. A new numerical stepwise approach for limited pressure and plastic radius are obtained. Comparisons are conducted to validate the correctness of the proposed approach with Vesic's solution (1972). The results show that the perfectly elasto-plastic model may underestimate the displacement and stresses in cavity expansion than strain-softening coefficient considered. The results of limit expansion pressure based on the generalised H-B failure criterion are less than those obtained based on the M-C failure criterion.

Harmonic seismic waves response of 3D rigid surface foundation on layer soil

  • Messioud, Salah;Sbartai, Badredine;Dias, Daniel
    • Earthquakes and Structures
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    • 제16권1호
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    • pp.109-118
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    • 2019
  • This study, analyses the seismic response for a rigid massless square foundation resting on a viscoelastic soil layer limited by rigid bedrock. The foundation is subjected either to externally applied forces or to obliquely incident seismic body or surface harmonic seismic waves P, SV and SH. A 3-D frequency domain BEM formulation in conjunction with the thin layer method (TLM) is adapted here for the solution of elastodynamic problems and used for obtained the seismic response. The mathematical approach is based on the method of integral equations in the frequency domain using the formalism of Green's functions (Kausel and Peck 1982) for layered soil, the impedance functions are calculated by the compatibility condition. In this study, The key step is the characterization of the soil-foundation interaction with the input motion matrix. For each frequency the impedance matrix connects the applied forces to the resulting displacement, and the input motion matrix connects the displacement vector of the foundation to amplitudes of the free field motion. This approach has been applied to analyze the effect of soil-structure interaction on the seismic response of the foundation resting on a viscoelastic soil layer limited by rigid bedrock.

CNC 선반용 4축 전용로봇의 모델링 및 시뮬레이션 (Modeling and Simulation of 4-Axis Dedicated Robot for CNC Lathe)

  • 김한솔;김갑순
    • 한국기계가공학회지
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    • 제20권4호
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    • pp.49-56
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    • 2021
  • This paper describes the modeling and simulation of a four-axis dedicated robot that can attach and detach a workpiece on a computer numerical control (CNC) lathe. The robot was modeled as a Scarab robot for compatibility with CNC lathes. The advantages of such a robot are that an actuator with a small capacity can be used for the robot and the degrees of freedom of the robot can be reduced to four. For the simulation of the four-axis dedicated robot, a regular kinematic equation and an inverse kinematic equation were derived. Simulations were performed with these equations from the position of the loading device to the chuck position of the lathe before machining and from the chuck of the lathe to the position of the loading device after machining. The simulation results showed that the four-axis dedicated robot could be operated accurately, and they provided the joint angle of each motor (θ1, θ2, and θ3).

Vibrations of a taut horizontal cable subjected to axial support excitations considering nonlinear quasi-static responses

  • Jiang Yi;Yingqi Liu
    • Structural Engineering and Mechanics
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    • 제86권2호
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    • pp.221-235
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    • 2023
  • To calculate the vibrations of a tout cable subjected to axial support excitations, a nonlinear relationship of cable force and the support displacement under static situations are employed to depict the quasi-static vibration of the cable. The dynamic components of quasi-static vibration are inputted as "direct loads" to cause the parametric vibrations on the cable. Both the governing equations of motion and deformation compatibility for parametric vibrations are then derived, which indicates the high coupling of cable parametric force and deformation. Numerical solutions, based on the finite difference method, are put forward for the parametric vibrations, which is validated by the finite element method under periodic axial support excitations. For the quasi-static response, the shorter cables are more sensitive to support excitations than longer ones at small cable force. The quasi-static cable force makes the greatest contribution to the total cable force, but the parametric cable force is responsible for the occurrence of cable loosening at large excitation amplitudes. Moreover, this study also revealed that the traditional approach, assuming a linear relationship between quasi-static cable force and axial support displacement, would result in some great error of the cable parametric responses.

Experimental analysis of blast loading effects on security check-post

  • Muhammed Rizvan Akram;Ali Yesilyurt
    • Structural Engineering and Mechanics
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    • 제87권3호
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    • pp.273-282
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    • 2023
  • Concrete construction, one of the oldest building practices, is commonly used in all parts of the world. Concrete is the primary building material for both residential and commercial constructions. The challenge of protecting the buildings, hence nation, against the attack of terrorism has raised the importance to explore the understanding of building materials against the explosion. In this research, a security check-post (reinforced concrete frame filled with plain cement concrete) has been chosen to study the behavior of structural elements under blast loading. Eight nitroglycerines-based dynamite blasts with varying amounts of explosive charge, up to 17 kg weight has been carried out at various scale distances. Pressure and acceleration time history records are measured using blast measuring instruments. Security check post after being exposed by explosive loading are photographed to view cracking/failure patterns on the structural elements. It is noted that with the increase of quantity of explosive, the dimensions of spalling and crack patterns increase on the front panels. Simple empirical analyses are conducted using ConWep and other design manuals such as UFC 3-340-02 (2008) and AASTP-1 (2010) for the purpose of comparison of blast parameters with the experimental records. The results of experimental workings are also compared with earlier researchers to check the compatibility of developed equations. It is believed that the current study presents the simple and preliminary procedure for calculating the air blast and ground shock parameters on the structures exposed to blast explosion.

Multiscale modeling of reinforced/prestressed concrete thin-walled structures

  • Laskar, Arghadeep;Zhong, Jianxia;Mo, Y.L.;Hsu, Thomas T.C.
    • Interaction and multiscale mechanics
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    • 제2권1호
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    • pp.69-89
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    • 2009
  • Reinforced and prestressed concrete (RC and PC) thin walls are crucial to the safety and serviceability of structures subjected to shear. The shear strengths of elements in walls depend strongly on the softening of concrete struts in the principal compression direction due to the principal tension in the perpendicular direction. The past three decades have seen a rapid development of knowledge in shear of reinforced concrete structures. Various rational models have been proposed that are based on the smeared-crack concept and can satisfy Navier's three principles of mechanics of materials (i.e., stress equilibrium, strain compatibility and constitutive laws). The Cyclic Softened Membrane Model (CSMM) is one such rational model developed at the University of Houston, which is being efficiently used to predict the behavior of RC/PC structures critical in shear. CSMM for RC has already been implemented into finite element framework of OpenSees (Fenves 2005) to come up with a finite element program called Simulation of Reinforced Concrete Structures (SRCS) (Zhong 2005, Mo et al. 2008). CSMM for PC is being currently implemented into SRCS to make the program applicable to reinforced as well as prestressed concrete. The generalized program is called Simulation of Concrete Structures (SCS). In this paper, the CSMM for RC/PC in material scale is first introduced. Basically, the constitutive relationships of the materials, including uniaxial constitutive relationship of concrete, uniaxial constitutive relationships of reinforcements embedded in concrete and constitutive relationship of concrete in shear, are determined by testing RC/PC full-scale panels in a Universal Panel Tester available at the University of Houston. The formulation in element scale is then derived, including equilibrium and compatibility equations, relationship between biaxial strains and uniaxial strains, material stiffness matrix and RC plane stress element. Finally the formulated results with RC/PC plane stress elements are implemented in structure scale into a finite element program based on the framework of OpenSees to predict the structural behavior of RC/PC thin-walled structures subjected to earthquake-type loading. The accuracy of the multiscale modeling technique is validated by comparing the simulated responses of RC shear walls subjected to reversed cyclic loading and shake table excitations with test data. The response of a post tensioned precast column under reversed cyclic loads has also been simulated to check the accuracy of SCS which is currently under development. This multiscale modeling technique greatly improves the simulation capability of RC thin-walled structures available to researchers and engineers.

부분(部分) 등분포(等分布) 전단하중(剪斷荷重)을 받는 이방성(異方性) 구조체(構造體)의 해석(解析) (Analysis of Orthotropic Body Under Partial-Uniform Shear Load)

  • 장석윤
    • 대한토목학회논문집
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    • 제4권1호
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    • pp.1-10
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    • 1984
  • 본(本)논문(論文)은 재료(材料)의 성질(性質)이 직교(直交)하는 방향(方向)으로 상이(相異)한 이방성(異方性) 구조체(構造體)에 부분등분포(部分等分布) 전단하중(剪斷荷重)이 경계(境界)에 작용(作用)할 경우의 수직응력(垂直應力)과 전단응력(剪斷應力)을 나태내는 엄밀해법(解法)을 제시(提示)하였다. 이 해법(解法)은 평형조건(平衡條件)과 적합조건(適合條件)을 동시에 만족하는 탄성론적(彈性論的)인 엄밀 해법(解法)이다. 따라서 이러한 문제(問題)를 해석(解析)하기 위하여 Airy 응력함수(應力凾數)를 이용(利用)하였다. 본해법(本解法)의 타당성(妥當性)을 증명(證明)하기 위하여 이방성(異方性)인 경우의 방정식(方程式)들의 이방성상수(異方性常數)들을 등방성(等方性)인 경우의 상수(常數)들로 대치(代置)할 경우에 등방성(等方性)인 경우의 방정식(方程式)들로 변환(變換)되지 않으면 안된다. 이를 검토(檢討)하기 위하여 L'hospital의 법칙(法則)을 이용하였다. 그 결과(結果) 이방성(異方性)인 경우의 모든 방정식(方程式)들은 등방성(等方性)인 경우의 방정식(方程式)들로 정확히 변환(變換)되었고 이 식들은 이미 연구된 자료(資料)의 값들과 비교(比較)된 결과(結果) 정확히 일치(一致)되었다. 또한 집중하중(集中荷重)의 경우와의 관계(關係)에서는 부분등분포하중(部分等分布荷重)의 특별(特別)한 경우가 집중하중(集中荷重)임을 고려하고 L'hospital의 법칙(法則)을 이용(利用)하면 부분등분포하중(部分等分布荷重)의 경우의 방정식(方程式)들은 바로 집중하중(集中荷重)의 경우의 방정식(方程式)들로 변환(變換)됨을 알 수 있다. 본 결과(結果)로 미루어 보아 해법(解法)의 타당성(妥當性)이 입증(立證)되었다고 할 수 있다. 본해법(本解法)의 방정식(方程式)들은 간단(簡單)한 형태(形態)로 구성(構成)되어 있어 수치결과(數値結果)를 정확히 누구나 얻을 수 있는 장점이 있다. 응력(應力)의 값을 나타내는 수치결과(數値結果)를 이방성재료(異方性材料)인 3단합판(合板)과 중첩합판을 예로 들어 나무결을 2가지 방향(方向)으로 강축(强軸)을 바꾸어 각각의 수직(垂直) 및 전단응력(剪斷應力)을 구(求)하여 도표(圖表)로 표시(表示)하였으며, 그 결과 응력(應力)의 분포(分布)는 재료(材料)의 성질과 강축(强軸)의 방향(方向)에 따라 현저하게 달라지는 현상을 볼 수 있다.

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극한(極限)모멘트 하중(荷重)을 받는 이방성(異方性) 구조체(構造體)의 해석(解析) (Analysis of Orthotropic Body under Ultimate Moment Load)

  • 장석윤
    • 대한토목학회논문집
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    • 제5권3호
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    • pp.95-105
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    • 1985
  • 본(本) 논문(論文)은 재료(材料)의 성질(性質)이 직교(直交)하는 방향(方向)으로 상이(相異)한 이방성(異方性) 구조체(構造體)에 모멘트 하중(荷重)이 경계(境界)에 작용(作用)할 경우의 수직(垂直) 및 전단응력(剪斷應力)을 나타내는 엄밀 해석(解析)을 제시(提示)하였다. 모멘트하중(荷重)은 물론 탄성하중(彈性荷重)은 물론 탄소성하중(彈塑性荷重)과 극한하중(極限荷重)에 이르기까지의 하중(荷重)의 변화(變化)에 따른 구조체(構造體) 내부(內部)의 응력(應力)들을 해석적(解析的)인 방법(方法)으로 해석(解析)하였다. 이 해법(解法)은 평형조건(平衡條件)과 적합조건(適合條件)을 동시에 만족하는 탄성론적(彈性論的)인 엄밀해법(解法)이다. 따라서 이러한 문제(問題)를 해석(解析)하기 위하여 Airy 응력함수(應力凾數)를 이용(利用)하였다. 본(本) 해법(解法)의 타당성(妥當性)을 증명(證明)하기 위하여 이방성(異方性)인 경우의 방정식(方程式)들의 이방성(異方性) 상수(常數)들을 등방성(等方性)인 경우 상수(常數)들로 대치(代置)할 경우에 등방성(等方性)인 경우의 방정식(方程式)들로 변환(變換)되지 않으면 안된다. 이를 검토하기 위하여 L'hospital 외 법칙(法則)을 이용(利用)하였다. 그 결과(結果) 이방성(異方性)인 경우의 모든 방정식(方程式)들은 등방성(等方性)인 경우 방정식(方程式)들로 정확히 변환(變換)되었고 이 식(式)들은 이미 연구된 자료들의 값들과 비교(比較)된 결과(結果) 동일한 값을 얻었다. 본(本) 해법(解法)의 방정식(方程式)들은 간단(簡單)한 형태(形態)로 구성(構成)되어있어 수치결과(數値結果)를 누구나 정확히 얻을 수 있는 장점이 있다. 응력(應力)의 값을 얻기 위한 재료(材料)의 성질(性質)이나 구조적(構造的) 성질(性質)에 따라 결정되는 이방성상수(異方性常數)를 3 단합판중첩합판과 강보강판(鋼補鋼板), 철근콘크리트판(板)을 예(例)를 들어 표(表)로 표시(表示)하였고 수치결과(數値結果)는 3 단합판(段合板)을 예(例)를 들어 나무결을 두가지 방향(方向)으로 강축(强軸)을 바꾸어 각각의 수직(垂直) 및 전단응력(剪斷應力)을 구(求)하여 도표(圖表)로 표시(表示)하였으며 그 결과 응력(應力)의 분포(分布)는 재료(材料)의 성질(性質)과 보강부재(補强部材)의 배치 내용에 따라 달라지는 강축(强軸)의 방향(方向)에 따라 현저하게 달라지는 현상을 볼 수 있다.

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