• Title/Summary/Keyword: direct stiffness method

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Analysis on Relationship between FWD Back-calculated Modulus and Dynamic Modulus of Asphalt Layers for Existing Asphalt Pavements (공용중인 아스팔트 포장의 아스팔트층 동탄성계수와 FWD 역산 탄성계수의 상관관계 분석)

  • Park, Hee Mun;Park, Hong Joon
    • International Journal of Highway Engineering
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    • v.17 no.5
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    • pp.25-31
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    • 2015
  • PURPOSES: The objective of this study is to analyze the relationship between the FWD back-calculated modulus and dynamic modulus of asphalt layers for existing asphalt pavements. METHODS: To evaluate the dynamic modulus of the asphalt mixture in the existing and new asphalt layers, the uniaxial direct tension test was conducted on small asphalt specimens obtained from the existing asphalt-covered pavements. A dynamic modulus master curve was estimated by using the uniaxial direct tension test for each asphalt layer. The falling weight deflectometer (FWD) testing was conducted on the test sections, and the modulus values of pavement layers were back-calculated using the genetic algorithm and the finite element method based back-calculation program. The relationship between measured and back-calculated asphalt layer moduli was examined in this study. The normalized dynamic modulus was adopted to predict the stiffness characteristics of asphalt layers more accurately. RESULTS: From this study, we can conclude that there is no close relationship between dynamic modulus of first layer and back-calculated asphalt modulus. The dynamic moduli of second and third asphalt layers have some relation with asphalt stiffness. Test results also showed that the normalized dynamic modulus of the asphalt mixture is closely related to the FWD back-calculated modulus with 0.73 of R square value. CONCLUSIONS: The back-calculated modulus of asphalt layer can be used as an indicator of the stiffness characteristics of asphalt layers in the asphalt-covered pavements.

A Study on Equivalent Modal Damping Values of Soil-Structure Coupling Models (지반-구조물 연계모델의 등가감쇠값에 관한 연구)

  • Park, Hyung Ghee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.3
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    • pp.241-248
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    • 1987
  • The theoretical backgrounds of the several methods were surveyed and reviewed to fin out the adequate one to determine equivalent modal damping values in solving the dynamic problem of soil-structure interaction by mode superposition method. Furthermore the rigorous damping matrix of equation of motion was obtained through component mode synthesis technique and used in direct integration of the equation. The analytical results by direct integration method were compared with those of mode superposition approach using the various sets of equivalent modal damping values calculated by the methods to be reviewed. Two types of superstructures and four kinds of subsurface conditions were considered and combined to make soil-structure coupled models. It was realized that dissipating energy method gives the equivalent modal damping values which lead the most similar results to direct integration ones. In case of fixed base, the responses of all methods except stiffness weighted approach are almost equal to those of direct integration method.

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Dynamic Characteristics of an Externally Pressurized Conical Gas Bearing (외부가압 원추형 공기 베어링의 동특성에 관한 연구)

  • 박상신;김우정;김종원;한동철
    • Tribology and Lubricants
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    • v.8 no.1
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    • pp.78-83
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    • 1992
  • For excluding the effect of machining error such as perpendicularity, conical and spherical bearing has been used. In this paper, dynamic characteristics of the externally pressurized conical gas bearing for untraprecision main spindle is carried out based on the direct numerical method with assumption of point source. As a result of theoretical analysis, it is verified that coupled stiffness and damping exist and new design parameters for optimal condition of conical gas bearing are presented in dimensionless form.

Dynamic stability analysis of axially oscillating cantilever beams (축방향 왕복운동을 하는 외팔보의 동적 안정성 해석)

  • 현상학;유홍희
    • Journal of KSNVE
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    • v.6 no.4
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    • pp.469-474
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    • 1996
  • Dynamic stability of an axially oscillating cantilever beam is investigated in this paper. The equations of motion are derived and transformed into non-dimensional ones. The equations include harmonically oscillating parameters which originate from the motion-induced stiffness variation. Using the equations, the multiple scale perturbation method is employed to obtain a stability diagram. The stability diagram shows that relatively large unstable regions exist around the frequencies of the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the diagram is proved by direct numerical simulations of the dynamic system.

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BOUNDARY ELEMENT TECHNIQUE IN TORSION PROBLEMS OF BEAMS WITH MULTIPLY CONNECTED CROSS-SECTIONS

  • TEMIS, Y.M.;KARABAN, V.V.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.2
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    • pp.39-51
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    • 2001
  • This paper shows how boundary element method can be used to calculate torsion geometrical stiffness of cross-sections of various beams and airfoil profiles. Using the BEM direct formulation, the technique for determining bending and torsional geometrical characteristics of arbitrary multiply connected cross-sections is presented. The application limits of several well-known formulae on some test problems have been demonstrated and discused.

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Seismic Performance Evaluation of a Structure Using Direct Displacement-Based Design Method (직접 변위설계법을 이용한 구조물의 내진성능평가)

  • 김진구;방성혁
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.2
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    • pp.1-7
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    • 2002
  • A procedure for determination of performance point was developed based on the concept of the direct displacement-based design method. Using the proposed procedure, parametric study has been performed for various natural periods of the structure, yield strength, and the stiffness after the first yield. The proposed method was also applied to a 10-story steel frame, and the results were compared to those from the capacity spectrum method and the time history analysis. It was found from the comparison that there were good agreement between the results.

An improved pushover analysis procedure for multi-mode seismic performance evaluation of bridges : (1) Introduction to numerical model

  • Kwak, Hyo-Gyoung;Shin, Dong-Kyu
    • Structural Engineering and Mechanics
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    • v.33 no.2
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    • pp.215-238
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    • 2009
  • This paper introduces an improved modal pushover analysis (IMPA) which can effectively evaluate the seismic response of multi-span continuous bridge structures on the basis of modal pushover analysis (MPA). Differently from previous modal pushover analyses which cause the numerical unstability because of the occurrence of reversed relation between the pushover load and displacement, the proposed method eliminates this numerical instability and, in advance the coupling effects induced from the direct application of modal decomposition by introducing an identical stiffness ratio for each dynamic mode at the post-yielding stage together with an approximate elastic deformation. In addition to these two introductions, the use of an effective seismic load, calculated from the modal spatial force and applied as the distributed load, makes it possible to predict the dynamic responses of all bridge structures through a simpler analysis procedure than those in conventional modal pushover analyses. Finally, in order to establish validity and applicability of the proposed method, correlation studies between a rigorous nonlinear time history analysis and the proposed method were conducted for multi-span continuous bridges.

Local buckling of thin and moderately thick variable thickness viscoelastic composite plates

  • Jafari, Nasrin;Azhari, Mojtaba;Heidarpour, Amin
    • Structural Engineering and Mechanics
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    • v.40 no.6
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    • pp.783-800
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    • 2011
  • This paper addresses the finite strip formulations for the stability analysis of viscoelastic composite plates with variable thickness in the transverse direction, which are subjected to in-plane forces. While the finite strip method is fairly well-known in the buckling analysis, hitherto its direct application to the buckling of viscoelastic composite plates with variable thickness has not been investigated. The equations governing the stiffness and the geometry matrices of the composite plate are solved in the time domain using both the higher-order shear deformation theory and the method of effective moduli. These matrices are then assembled so that the global stiffness and geometry matrices of a moderately thick rectangular plate are formed which lead to an eigenvalue problem that is solved to determine the magnitude of critical buckling load for the viscoelastic plate. The accuracy of the proposed model is verified against the results which have been reported elsewhere whilst a comprehensive parametric study is presented to show the effects of viscoelasticity parameters, boundary conditions as well as combined bending and compression loads on the critical buckling load of thin and moderately thick viscoelastic composite plates.

Dynamic analysis and model test on steel-concrete composite beams under moving loads

  • Hou, Zhongming;Xia, He;Wang, Yuanqing;Zhang, Yanling;Zhang, Tianshen
    • Steel and Composite Structures
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    • v.18 no.3
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    • pp.565-582
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    • 2015
  • This paper is concerned with the dynamic analysis of simply-supported steel-concrete composite beams under moving loads. Considering the interface slip between steel girder and concrete slab, the governing motion equations are derived from the direct balanced method. By variable separation approach, the analytical solution of natural frequencies and mode shapes are obtained, as well as the orthogonal conditions. Then the dynamic responses of the composite beam under moving loads are analyzed, and compared with the experimental results. The analysis results show that the governing motion equations become more complicated when interface slip is taken into account, and the dynamic behaviors are significantly influenced by the shear connection stiffness. In the dynamic calculation of composite beams, the global stiffness should not be reduced as the same factor to all orders, but as different ones according to the dynamic stiffness reduction factor (DSRF), to which should be paid more attention in calculation, design and experiment, or else great deviation is inevitable.

DIRECT INELASTIC EARTHQUAKE DESIGN OF R/C STRUCTURE

  • Park, Hong-Gun;Eom, Tae-Sung
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.472-477
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    • 2004
  • A new earthquake design method performing iterative calculations with secant stiffness was developed. Since basically the proposed design method uses linear analysis, it is convenient and stable in numerical analysis. At the same time, the proposed design method can accurately estimate the inelastic strength and ductility demands of the structural members through iterative calculations. In the present study, the procedure of the proposed design method was established, and a computer program incorporating the proposed method was developed. The proposed method, as an integrated analysis and design method, can directly address the earthquake design strategy intended by the engineer, such as limited ductility of member and the concept of strong column - weak beam. Through iterative calculations on a structural model with member sizes preliminarily assumed, the strength and ductility demands of each member can be determined so as to satisfy the given design strategy. As the result, structural safety and economical design can be achieved.

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