• Title/Summary/Keyword: mathematical structures

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System Identification of the Three Story Building Structure with a Controller (제어기가 설치된 3층 건물의 시스템 식별)

  • 주석준
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1999.10a
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    • pp.203-211
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    • 1999
  • Threr are several methods in protecting the building structures from dynamic loads such as an earthquake and a wind. Among them applying a control force to the building structure is one of the methods to decrease the vibration. The most important and difficult problem in the active control is to obtain the mathematical model of the building structure with a controller. the effective active controller can be designed from the exact model of the system In this paper the three story test building with an active mass driver is identified experimentally. the system matrices corresponding to the experimental building are found and verified with the experimentally-obtained transfer functions and responses efficiently.

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Buckling Constraints in Structural Optimization (구조물 최적화에 있어서의 좌굴 제약)

  • Chung, Young-Shik;Lee, Jin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.1-8
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    • 1995
  • This work presents a new method to deal with buckling constraints. The mathematical optimization process of truss structures proposed earlier by the author has been proved to be the most rigorous method. The inclusion of buckling constraints, however, gives rise to a new problem The allowable compression stress of a member changes from one design iteration to another. This changing stress limit creates a good deal of noise in selecting active constraints and makes the solution process unstable. This problem can be overcome by introducing relaxation parameters. This work, however, aims at establishing a more rigorous method by containing the allowable compression stress in the left hand side of the associated constraint.

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Stochastic Search Techniques for Golobal Optimization (전체 최적화를 위한 확률론적 탐색기법)

  • 양영순;김기화
    • Computational Structural Engineering
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    • v.5 no.2
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    • pp.93-104
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    • 1992
  • The final objective of optimization methods is to find global optimum accurately and efficiently. The optmization processes by simulated annealing and genetic algorithm which have stochastic search process are examined and are applied to several mathematical models and truss, beam structures. Then the robustnesses of these two methods are studied and compared with the results of deterministic optimization methods from the viewpoints of reliability and running time in obtaining the global optimum.

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FUZZY γ-MINIMAL β-OPEN SETS ON FUZZY MINIMAL SPACES

  • Min, Won-Keun;Kim, Myeong-Hwan
    • The Pure and Applied Mathematics
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    • v.19 no.3
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    • pp.263-271
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    • 2012
  • We introduce the concept of fuzzy $r$-minimal ${\beta}$-open set on a fuzzy minimal space and basic some properties. We also introduce the concept of fuzzy $r-M$ ${\beta}$-continuous mapping which is a generalization of fuzzy $r-M$ continuous mapping and fuzzy $r-M$ semicontinuous mapping, and investigate characterization for the continuity.

Construction of Prediction Model Formula of Chloride Diffusion Coefficient Considering Water-Cement Ratio and Compressive Strength of Different Mix Conditions (배합조건이 다른 콘크리트의 물 시멘트비와 압축강도를 고려한 염화물 확산계수 예측모델식 구성)

  • Lee, Taek-Woo;Park, Seong-Bum;Yoon, Eui-Sik
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05b
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    • pp.185-188
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    • 2005
  • This study selected three different specified concrete strength types of mixture which were applied to domestic seawater concrete structure and measured compressive strength and chloride diffusion coefficient and composed the formula of prediction model of chloride diffusion coefficient in order to provide the useful data for concrete mix decision of seawater structures. As a result, the formula of prediction model of chloride diffusion coefficient which set W/C and compressive strength as parameters and performed multiplex regression analysis which was based on the mathematical theory was confirmed more reliable than the formula of prediction which was composed existing water-cement ratio function.

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Experimental investigation of an active mass damper system with time delay control algorithm

  • Jang, Dong-Doo;Park, Jeongsu;Jung, Hyung-Jo
    • Smart Structures and Systems
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    • v.15 no.3
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    • pp.863-879
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    • 2015
  • This paper experimentally investigates the effectiveness and applicability of the time delay control (TDC) algorithm, which is simple and robust to unknown system dynamics and disturbance, for an active mass damper (AMD) system to mitigate the excessive vibration of a building structure. To this end, the theoretical background including the mathematical formulation of the control system is first described; and then, a thorough experimental study using a shaking table system with a small-scale three-story building structural model is conducted. In the experimental tests, the performance of the proposed control system is examined by comparing its structural responses with those of the uncontrolled system in the free vibration and forced vibration cases. It is clearly verified from the test results that the TDC algorithm embedded AMD system can effectively reduce the structural response of the building structure.

Analytical modelling of multilayer beams with compliant interfaces

  • Skec, L.;Schnabl, S.;Planinc, I.;Jelenic, G.
    • Structural Engineering and Mechanics
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    • v.44 no.4
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    • pp.465-485
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    • 2012
  • Different mathematical models are proposed and their analytical solutions derived for the analysis of linear elastic Reissner's multilayer beams. The models take into account different combinations of contact plane conditions, different material properties of individual layers, different transverse shear deformations of each layer, and different boundary conditions of the layers. The analytical studies are carried out to evaluate the influence of different contact conditions on the static and kinematic quantities. A considerable difference of the results between the models is obtained.

Mathematical solution for free vibration of sigmoid functionally graded beams with varying cross-section

  • Atmane, Hassen Ait;Tounsi, Abdelouahed;Ziane, Noureddine;Mechab, Ismail
    • Steel and Composite Structures
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    • v.11 no.6
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    • pp.489-504
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    • 2011
  • This paper presents a theoretical investigation in free vibration of sigmoid functionally graded beams with variable cross-section by using Bernoulli-Euler beam theory. The mechanical properties are assumed to vary continuously through the thickness of the beam, and obey a two power law of the volume fraction of the constituents. Governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width. Analytical solutions of the vibration of the S-FGM beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends. Results show that, all other parameters remaining the same, the natural frequencies of S-FGM beams are always proportional to those of homogeneous isotropic beams. Therefore, one can predict the behaviour of S-FGM beams knowing that of similar homogeneous beams.

Frequency and critical fluid velocity analysis of pipes reinforced with FG-CNTs conveying internal flows

  • Ghaitani, M.;Majidian, A.
    • Wind and Structures
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    • v.24 no.3
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    • pp.267-285
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    • 2017
  • This paper addresses vibration and instability of embedded functionally graded (FG)-carbon nanotubes (CNTs)-reinforced pipes conveying viscous fluid. The surrounding elastic medium is modeled by temperature-dependent orthotropic Pasternak medium. Flugge shell model is applied for mathematical modeling of structure. Based on energy method and Hamilton's principal, the motion equations are derived. Differential quadrature method (GDQM) is applied for obtaining the frequency and critical fluid velocity of system. The effects of different parameters such as volume percent of CNTs, elastic medium, boundary condition and geometrical parameters are discussed.

Mathematical modeling of smart nanoparticles-reinforced concrete foundations: Vibration analysis

  • Kargar, Masood;Bidgoli, Mahmood Rabani
    • Steel and Composite Structures
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    • v.27 no.4
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    • pp.465-477
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    • 2018
  • In this research, vibration and smart control analysis of a concrete foundation reinforced by $SiO_2$ nanoparticles and covered by piezoelectric layer on soil medium is investigated. The soil medium is simulated with spring constants and the Mori-Tanaka low is used for obtaining the material properties of nano-composite structure and considering agglomeration effects. With considering first order shear deformation theory, the total potential energy of system is calculated and by means of Hamilton's principle in three displacement directions and electric potential, the six coupled equilibrium equations are obtained. Also, based an analytical method, the frequency of system is calculated. The effects of applied voltage, volume percent and agglomeration of $SiO_2$ nanoparticles, soil medium and geometrical parameters of structure are shown on the frequency of system. Results show that with applying negative voltage, the frequency of structure is increased.