• Title/Summary/Keyword: Local Stiffness

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Global Behavior Analysis of Frame Structures with Local Cracks (국부적 균열을 지닌 프레임 구조체의 전체적인 거동 해석)

  • Kim, Dong-Jo;Kim, Se-Jin;Kim, Hyo-Jin;Lee, Sang-Ho
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.67-70
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    • 2008
  • This study is to analyzes the global behavior of frame structures with local cracks in structural members by frame analysis, using the stiffness matrix of cracked frame element. This local compliance is utilized to derive the stiffness matrix of the cracked frame element and the effects of interaction among multiple cracks are also examined. The proposed technique is applied to frame structures with local cracks. Analysis results confirm the possibility of quantitative analysis of a structure damaged with local cracks and the feasibility of the technique as a tool for analyzing the global behavior of frame structures, reflecting effects of local cracks.

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Buckling Strength of Box-Shape Column with Corner Rounding (모서리 곡률이 존재하는 상자형 단면 기둥의 좌굴)

  • 한금호;한택희;김기언;강영종
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.325-331
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    • 2004
  • Generally, the buckling of thin-walled structures has studied for rectangular sections or circular sections. Rectangular sections have small stiffness and circular sections have large stiffness when they are compared with rectangular sections for local buckling. But both of them have similar stiffness to column buckling. Therefore in this paper, we are going to analyze the local buckling for the box section with rounded comer and compare with rectangular section. Also we confirm that the rounded comer section has larger local buckling strength than rectangular section.

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Modified Stiffness Matrix of Frame Reflecting the Effect of Local Cracks (국부적 균열의 영향을 고려한 수정된 프레임 강성행렬)

  • 이상호;송정훈;임경훈
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.353-360
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    • 2002
  • The objective of this study is to develop a technique that analyzes the global behavior of frame structures with local cracks. The technique is based on frame analysis and uses the stiffness matrix of cracked frame element. An algorithm proposed here analyzes a frame structure with local transverseedge cracks, considering the effects of crack length and location. Stress intensity factors are employed to calculate additional local compliance due to the cracks based on linear elastic fracture mechanics theory, and then this local compliance is utilized to derive the stiffness matrix of the cracked frame element. In order to verify the accuracy and reliability of the proposed approach, numerical results are compared with those of Finite Element Method for the cracked frame element, and the effects of single crack on the behavior of truss structure are also examined.

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Two-dimensional rod theory for approximate analysis of building structures

  • Takabatake, Hideo
    • Earthquakes and Structures
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    • v.1 no.1
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    • pp.1-19
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    • 2010
  • It has been known that one-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. If the structure is composed of distinct constituents of different stiffness such as coupled walls with opening, structural behavior is significantly governed by the local variation of stiffness. This paper proposes an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. The governing equation for the two-dimensional rod theory is formulated from Hamilton's principle by making use of a displacement function which satisfies continuity conditions across the boundary between the distinct structural components in the transverse direction. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures.

Dynamic Behavior Analysis of Bridges under the Combined Effect of Earthquake and Scour (지진 및 기초의 세굴을 고려한 교량시스템의 동적거동분석)

  • 김상효;최성욱;이상우;김호상
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.03a
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    • pp.187-194
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    • 2002
  • Bridge dynamic behaviors and the failure of the foundation are examined in this study under seismic excitations including the local scour effect. The simplified mechanical model, which can consider the effect of various influence elements, is proposed to simulate the bridge motions. The scour depths around the foundations are estimated by the CSU equation recommended by the HEC-18 and the local scour effect upon global bridge motions is then considered by applying various foundation stiffness based upon the reduced embedded depths. From the simulation results, it is found that seismic responses of a bridge with the same scour depth for both foundations increase due to the local scour effect. The bridge scour is found to be significant under weak and moderate seismic intensity. The recovery durations of the foundation stiffness after local scour are found to be critical in the estimation of the probability of foundation failure under earthquakes. Therefore, the safety of the whole bridge system should be conducted with the consideration of the scour effect upon the foundations and the recovery duration of stiffness should be determined rationally.

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Influence of Corner Rounding on Local Buckling Strength in Square Sectioned Steel Column (사각단면 강기둥 모서리 곡률의 국부좌굴 강도에 대한 영향 평가)

  • Han Keum Ho;Kim Ki Un;Kim Jong Heon;Kang Young Jong
    • Proceedings of the KSR Conference
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    • 2004.06a
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    • pp.1096-1101
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    • 2004
  • Generally, the buckling of thin-walled structures has studied for rectangular sections or circular sections. Rectangular sections have small stiffness and circular sections have large stiffness when they are compared with rectangular sections for local buckling. But both of them have similar stiffness to column buckling. Therefore in this paper, we are going to analyze the local buckling for the box section with rounded comer and compare with rectangular section. Also we confirm that the rounded comer section has larger local buckling strength than rectangular section.

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Large Deflection Analysis of a Plane Frame with Local Bending Collapse (국부적 굽힘붕괴를 수반하는 평면프레임의 대변형 해석)

  • 김천욱;원종진;강명훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1889-1900
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    • 1995
  • In this study, a large deflection analysis of a plane frame composed of a thin-walled tube in investigated. When bent, a thin-walled tube is usually controlled by local buckling and subsequent bending collapse of the section. So load resistance reaches the yield level in a thin-walled rectangular tube. This relationship can be divided into three regimes : elastic, post-buckling and crippling. In this paper, this relationship is theoretically presented to be capable of describing nonlinearities and a stiffness matrix is derived by introducing a compound beam-spring element. A numerical analysis uses a constant incremental energy method and the solution is obtained by modifying stiffness matrix at elastic/inelastic stage. This analytical results, load-deflection paths show a good agreement with the test results.

Dynamic analysis of trusses including the effect of local modes

  • Levy, Eldad;Eisenberger, Moshe
    • Structural Engineering and Mechanics
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    • v.7 no.1
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    • pp.81-94
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    • 1999
  • The dynamic analysis of trusses using the finite element method tends to overlook the effect of local member dynamic behavior on the overall response of the complete structure. This is due to the fact that the lateral inertias of the members are omitted from the global inertia terms in the structure mass matrix. In this paper a condensed dynamic stiffness matrix is formulated and used to calculate the exact dynamic properties of trusses without the need to increase the model size. In the examples the limitations of current solutions are presented together with the exact results obtained from the proposed method.

The role of softening in the numerical analysis of R.C. framed structures

  • Bontempi, Franco;Malerba, Pier Giorgio
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.785-801
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    • 1997
  • Reinforced Concrete beams with tension and compression softening material constitutive laws are studied. Energy-based and non-local regularisation techniques are presented and applied to a R.C. element. The element characteristics (sectional tangent stiffness matrix, element tangent stiffness matrix restoring forces) are directly derived from their symbolic expressions through numerical integration. In this way the same spatial grid allows us to obtain a non-local strain estimate and also to sample the contributions to the element stiffness matrix. Three examples show the spurious behaviors due to the strain localization and the stabilization effects given by the regularisation techniques, both in the case of tension and compression softening. The possibility to overestimate the ultimate load level when the non-local strain measure is applied to a non softening material is shown.

A simplified analysis of super building structures with setback

  • Takabatake, Hideo;Ikarashi, Fumiya;Matsuoka, Motohiro
    • Earthquakes and Structures
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    • v.2 no.1
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    • pp.43-64
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    • 2011
  • One-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. The mechanical behavior of structures composed of distinct constituents of different stiffness such as coupled walls with opening is significantly governed by the local variation of stiffness. Furthermore, in structures with setback the distribution of the longitudinal stress behaves remarkable nonlinear behavior in the transverse-wise. So, the author proposed the two-dimensional rod theory as an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. This paper proposes how to deal with the two-dimensional rod theory for structures with setback. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures. The transverse-wise nonlinear distribution of the longitudinal stress due to the existence of setback is clarified to originate from the long distance from setback.