• Title/Summary/Keyword: equation-structure

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Shape Design Optimization of Fluid-Structure Interaction Problems (유체-구조 연성 문제의 형상 최적설계)

  • Ha, Yoon-Do;Kim, Min-Geun;Cho, Hyun-Gyu;Cho, Seon-Ho
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.2 s.152
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    • pp.130-138
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    • 2007
  • A coupled variational equation for fluid-structure interaction (FSI) problems is derived from a steady state Navier-Stokes equation for incompressible Newtonian fluid and an equilibrium equation for geometrically nonlinear structures. For a fully coupled FSI formulation, between fluid and structures, a traction continuity condition is considered at interfaces where a no-slip condition is imposed. Under total Lagrange formulation in the structural domain, finite rotations are well described by using the second Piola-Kirchhoff stress and Green-Lagrange strain tensors. An adjoint shape design sensitivity analysis (DSA) method based on material derivative approach is applied to the FSI problem to develop a shape design optimization method. Demonstrating some numerical examples, the accuracy and efficiency of the developed DSA method is verified in comparison with finite difference sensitivity. Also, for the FSI problems, a shape design optimization is performed to obtain a maximal stiffness structure satisfying an allowable volume constraint.

A Study on the relationship between natural frequency and span of Spatial Structure (대공간 구조물의 고유진동수와 스팬의 상관관계)

  • Yoon, Sung-Won;Park, Yong
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.155-158
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    • 2008
  • As the span of spatial structure is getting longer, the law frequency of the structure makes the wind-induced response much increased. However, there are lots of hardships to establish the economical structural systems due to the fact that an relative equation between the frequency and the span of the domestic spatial structures is not existed in the stage of the basic planning design. Therefore, among the large-span structures, this paper focused on the relationship between the frequency and the span of the world-cup stadium built in 2000s. The relative equation between the frequency and span is compared with the data measured in Japan. Moreover, we are willing to provide the basic study by suggesting the summary equation in this paper.

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A numerical solution to fluid-structure interaction of membrane structures under wind action

  • Sun, Fang-Jin;Gu, Ming
    • Wind and Structures
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    • v.19 no.1
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    • pp.35-58
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    • 2014
  • A numerical simultaneous solution involving a linear elastic model was applied to study the fluid-structure interaction (FSI) of membrane structures under wind actions, i.e., formulating the fluid-structure system with a single equation system and solving it simultaneously. The linear elastic model was applied to managing the data transfer at the fluid and structure interface. The monolithic equation of the FSI system was formulated by means of variational forms of equations for the fluid, structure and linear elastic model, and was solved by the Newton-Raphson method. Computation procedures of the proposed simultaneous solution are presented. It was applied to computation of flow around an elastic cylinder and a typical FSI problem to verify the validity and accuracy of the method. Then fluid-structure interaction analyses of a saddle membrane structure under wind actions for three typical cases were performed with the method. Wind pressure, wind-induced responses, displacement power spectra, aerodynamic damping and added mass of the membrane structure were computed and analyzed.

Numerical Formulation of Axisymmetric Shell Element and Its Application to Geotechnical Problems (축대칭 쉘 요소의 유한요소 수식화와 지반공학적 활용)

  • Shin, Hosung;Kim, Jin-Wook
    • Journal of the Korean Geotechnical Society
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    • v.36 no.12
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    • pp.27-34
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    • 2020
  • Use of axisymmetric shell element for the structure increases the efficiency and accuracy in finite element analysis of the interaction between the ground and the structure. This paper derived the force balance equation and the moment balance equation for an axisymmetric shell element based on Kirchhoff's theory. The governing equation for the axial deformation used the isoparametric shape function in the Galerkin formulation, and the governing equation for the shell bending used the higher-order shape function. The developed axisymmetric shell element was combined with Geo-COUS, a geotechnical finite element program for the coupled analysis with the ground. The accuracy of the developed element was confirmed through the example analyses of the circular plate and the liquid storage tank. And the energy balance equation for the axisymmetric shell element is presented.

Formal Semantics for Lambda Expression of Java (자바 람다식에 대한 형식 의미론)

  • Han Jung Lan
    • KIPS Transactions on Computer and Communication Systems
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    • v.12 no.5
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    • pp.157-164
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    • 2023
  • Specifying the semantic structure for functional interfaces and lambda expressions, which are the latest features of Java, can be referenced when designing similar functions in the future, and is also required in the process of standardizing or implementing an optimized translator. In this study, action equation 3.0 is newly proposed to express the static and dynamic semantic structure of functional interfaces and lambda expressions by modifying and upgrading the existing expressions to express the semantic structures of java functional interfaces and lambda expressions. Measure the execution time of java programs by implementing the semantic structure specified in action equation 3.0 in java, and prove that action equation 3.0 is a real semantic structure that can be implemented through simulation. The superiority of this action equation 3.0 is to be confirmed by comparing the action equation 3.0 specified in the four areas of readability, modularity, extensibility and flexibility with the existing representative semantic expression methods.

Analysis of Job Satisfaction of Dental Residents Using Structure Equation Modeling

  • Jeong, Seong-Hwa;Cho, Kil-Ho;Lee, Won-Kee;Choi, Youn-Hee;Song, Keun-Bae
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.395-403
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    • 2004
  • The purpose of this study is to investigate the structure relationships between job satisfaction of dental residents and its related factors. The study subject was 458 dental residents who were training at 6 university dental hospitals in Korea. Data for this study were obtained by self-administrated questionnaire during 3 months. Structure equation modeling using LISREL procedure was statistically appropriate and well fitted. By the model, the socio-demographic characteristics, working condition, and status perception directly influenced on subscale satisfactions, and the subscale satisfactions positively influenced on job satisfaction.

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A new ALE finite element techniques for wind-structure interactions

  • Choi, Chang-Koon;Yu, Won-Jin
    • Wind and Structures
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    • v.3 no.4
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    • pp.291-302
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    • 2000
  • A new finite element technique to solve the problem of wind and structure interactions is presented. Conventionally, wind analysis is performed on the Eulerian description in which the finite element mesh would not move in accordance with the wind flow. However, it is not the case in wind-structure interaction problems because nodes attached to the surface of structure should move with the displacement of structure. The arbitrary Lagrangian-Eulerian (ALE) method treats the mesh and flow independently, and allow the mesh to move. In this study, the analysis domain is divided into regions of the structure, air around the structure and the interface of two regions. To satisfy the compatibility and equilibrium conditions between separated regions and to carry out the efficient analysis, the rigid link is used. Also the equation of wind and that of structure are arranged in a single matrix equation.

Derivation of General Link Finite Element Equation representing Pad Shoe in Bridge under Earthquake (지진시에 교량의 탄성 받침을 표현하는 범용 연결 유한 요소 모델의 유도식)

  • 정대열
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.226-233
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    • 1999
  • When we numerically model the bridge under seismic condition, the full model combining the super-structure and the sub-structure is considered for the more accurate results than the separate model. In this case, the super-structure is connected with the sub-structure by the elastic pad shoe that is difficult to model, because it has the three translational elastic stiffness and the three rotational elastic stiffness. The two-node General Link element is derived in finite element equation representing such a pad shoe, and it is verified by comparing the one General Link element model with the corresponding three legacy spring element model. It is easy to model the pad shoe, if the General Link finite element is used. And the seismic analysis result of the bridge full model structure, which is modeled with the General Link element, has been compared with the one of the separate model structure. The present study gives. more conservative result than that of the separate model, which does not consider the dynamic behaviour of the sub-structure.

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Mathematical Thinking and Developing Mathematical Structure

  • Cheng, Chun Chor Litwin
    • Research in Mathematical Education
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    • v.14 no.1
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    • pp.33-50
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    • 2010
  • The mathematical thinking which transforms important mathematical content and developed into mathematical structure is a vital process in building up mathematical ability as mathematical knowledge based on structure. Such process based on students' recognition of mathematical concept. Developing mathematical thinking into mathematical structure happens when different cognitive units are connected and compressed to form schema of solution, which could happen through some guided problems. The effort of arithmetic approach in problem solving did not necessarily provide students the structure schema of solution. The using of equation to solve the problem is based on the schema of building equation, and is not necessary recognizing the structure of the solution, as the recognition of structure may be lost in the process of simplification of algebraic expressions, leaving only the final numeric answer of the problem.

A Study on the Numerical Model of Wave Induced Current around Nearshore Structure (연안역 구조물 주위에서의 해빈류의 수치해석에 관한 연구)

  • 민병형;이상화;김인철
    • Journal of Ocean Engineering and Technology
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    • v.5 no.1
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    • pp.55-63
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    • 1991
  • This study is to predict accurately the wave induced current accuring by the radiation stress which acts as the driving force around Nearshore structure. For the wave induced current, the depth integrated and time averaged governing equation of an unsteady nonlinear form is derived from the continuity and momentum equation of an incompressible fluid. Numerical solutions are obtained by a finite difference method for the governing equation. In the vicinity of a structure, computed flow patterns show good agreement with the hydraulic experimental data. The numerical results obtained by neglecting the convective term show a large change of alongshore and offshore current.

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