• Title/Summary/Keyword: global buckling

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New phenomena associated with the nonlinear dynamics and stability of autonomous damped systems under various types of loading

  • Sophianopoulos, Dimitris S.
    • Structural Engineering and Mechanics
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    • v.9 no.4
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    • pp.397-416
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    • 2000
  • The present study deals with the nonlinear dynamics and stability of autonomous dissipative either imperfect potential (limit point) systems or perfect (bifurcational) non-potential ones. Through a fully nonlinear dynamic analysis, performed on two simple 2-DOF models corresponding to the classes of systems mentioned above, and with the aid of basic definitions of the theory of nonlinear dynamical systems, new important phenomena are revealed. For the first class of systems a third possibility of postbuckling dynamic response is offered, associated with a point attractor on the prebuckling primary path, while for the second one the new findings are chaos-like (most likely chaotic) motions, consecutive regions of point and periodic attractors, series of global bifurcations and point attractor response of always existing complementary equilibrium configurations, regardless of the value of the nonconservativeness parameter.

Measurement and prediction of geometric imperfections in structural stainless steel members

  • Cruise, R.B.;Gardner, L.
    • Structural Engineering and Mechanics
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    • v.24 no.1
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    • pp.63-89
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    • 2006
  • Geometric imperfections have an important influence on the buckling response of structural components. This paper describes an experimental technique for determining imperfections in long (5.7 m) structural members using a series of overlapping measurements. Measurements were performed on 31 austenitic stainless steel sections formed from three different production routes: hot-rolling, cold-rolling and press-braking. Spectral analysis was carried out on the imperfections to obtain information on the periodic nature of the profiles. Two series were used to model the profile firstly the orthogonal cosine and sine functions in a classic Fourier transform and secondly a half sine series. Results were compared to the relevant tolerance standards. Simple predictive tools for both local and global imperfections have been developed to enable representative geometric imperfections to be incorporated into numerical models and design methods.

A Comparison of Stacking Sequence Optimization Schemes;Genetic Algorithm and Branch and Bound Method (적층순서 최적화 알고리듬의 평가;유전 알고리듬과 분기법)

  • Kim, Tae-Uk;Shin, Jeong-Woo
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.420-424
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    • 2003
  • Stacking sequence optimization needs discrete programming techniques because ply angles are limited to a fixed set of angles such as $0^{\circ},\;{\pm}45^{\circ},\;90^{\circ}$. Two typical methods are genetic algorithm and branch and bound method. The goal of this paper is to compare the methods in the light of their efficiency and performance in handling the constraints and finding the global optimum. For numerical examples, maximization of buckling load is used as objective and optimization results from each method are compared.

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P-${\Delta}$ Effects on the Reliability of Offshore Platforms

  • Leon, David-De;Dante Campos
    • Computational Structural Engineering : An International Journal
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    • v.3 no.1
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    • pp.31-37
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    • 2003
  • A typical marine platform in the Bay of Campeche is studied from the standpoint of structural reliability, and several characteristics of its deck such as slenderness and diameter/thickness ratios of the legs and actual degree of correlation between some variables are taken into account. The global and local buckling capacities of the deck legs are compared and the correlation coefficient between the critical axial load and the critical moment is assessed in order to validate its influence on the structural reliability. In addition, the influence of the vertical load, and its uncertainty, on the variance of the decks capacity, and latter on, on the platform's failure probability is assessed. The results presented may be used in future studies to further extend and upgrade the first version of the Reference Norm (PEMEX, 2000) and, in the longer term, to improve the current practice in the Design and Requalification of Offshore Marine Platforms in the Bay of Campeche.

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A Study for an Evaluation of Flexural Strength of Plate Girders Reinforced with One Line of Longitudinal Stiffeners (수평보강재로 1단 보강된 플레이트거더의 휨강도 평가 방안 연구)

  • Kim, Byung Jun;Park, Yong Myung;Mykyta, Kovalenko;Cho, Kwang Il
    • Journal of Korean Society of Steel Construction
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    • v.29 no.4
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    • pp.281-289
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    • 2017
  • The current AASHTO LRFD and Eurocode 3 specifications have been found to underestimate the flexural strength of longitudinally reinforced plate girders. This is because the web-flange interaction is not considered appropriately when a web is reinforced. The buckling strength of compression flange increases due to the improved rotational restraint to the compression flange. Also, the compression flange and the longitudinal stiffener could constrain the web rotation, so that a certain area of the web reaches yield strength. In this study, a model for evaluating the flexural strength is proposed for plate girders reinforced with one line of longitudinal stiffeners, considering the increase of the buckling strength of the compression flange and the actual stress distribution of the web. The flexural strengths of the conventional steel(SM490) and the high-strength steel(HSB800) plate girders were evaluated from the nonlinear analysis and the applicability of the proposed model was analyzed.

Experimental Study on Low Cyclic Loading Tests of Steel Plate Shear Walls with Multilayer Slits

  • Lu, Jinyu;Yu, Shunji;Qiao, Xudong;Li, Na
    • International journal of steel structures
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    • v.18 no.4
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    • pp.1210-1218
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    • 2018
  • A new type of earthquake-resisting element that consists of a steel plate shear wall with slits is introduced. The infill steel plate is divided into a series of vertical flexural links with vertical links. The steel plate shear walls absorb energy by means of in-plane bending deformation of the flexural links and the energy dissipation capacity of the plastic hinges formed at both ends of the flexural links when under lateral loads. In this paper, finite element analysis and experimental studies at low cyclic loadings were conducted on specimens with steel plate shear walls with multilayer slits. The effects caused by varied slit pattern in terms of slit design parameters on lateral stiffness, ultimate bearing capacity and hysteretic behavior of the shear walls were analyzed. Results showed that the failure mode of steel plate shear walls with a single-layer slit was more likely to be out-of-plane buckling of the flexural links. As a result, the lateral stiffness and the ultimate bearing capacity were relatively lower when the precondition of the total height of the vertical slits remained the same. Differently, the failure mode of steel plate shear walls with multilayer slits was prone to global buckling of the infill steel plates; more obvious tensile fields provided evidence to the fact of higher lateral stiffness and excellent ultimate bearing capacity. It was also concluded that multilayer specimens exhibited better energy dissipation capacity compared with single-layer plate shear walls.

Response transformation factors and hysteretic energy distribution of reinforced concrete braced frames

  • Herian A. Leyva;Eden Bojorquez;Juan Bojorquez;Alfredo Reyes;Fabrizio Mollaioli;Omar Payan;Leonardo Palemon;Manual A. Barraza
    • Structural Engineering and Mechanics
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    • v.90 no.3
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    • pp.313-323
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    • 2024
  • Most of existing buildings in Mexico City are made of reinforced concrete (RC), however, it has been shown that they are very susceptible to narrow-band long duration ground motions. In recent years, the use of dual systems composed by Buckling Restrained Braces (BRB) has increased due to its high energy dissipation capacity under reversible cyclical loads. Therefore, in this work the behavior of RC buildings with BRB is studied in order to know their performance, specifically, the energy distribution through height and response transformation factors between the RC and simplified systems are estimated. For this propose, seven RC buildings with different heights were designed according to the Mexico City Seismic Design Provisions (MCSDP), in addition, equivalent single degree of freedom (SDOF) systems were obtained. Incremental dynamic analyses on the buildings under 30 narrow-band ground motions in order to compute the relationship between normalized hysteretic energy, maximum inter-story drift and roof displacement demands were performed. The results shown that the entire structural frames participate in energy dissipation and their distribution is independent of the global ductility. The results let propose energy distribution equations through height. Finally, response transformation factors between the SDOF and multi degree of freedom (MDOF) systems were developed aimed to propose a new energy-based approach of BRB reinforced concrete buildings.

The Shock and Fracture Analysis of Ship Structure Subject to Underwater Shock Loading (수중충격하중을 받는 선체구조의 충격 및 파손 해석)

  • Kie-Tae Chung;Kyung-Su Kim;Young-Bok Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.118-131
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    • 1995
  • The shock fracture analysis for the structures of navy vessels subject to underwater explosions or of high speed vessels frequently subject to impact loads has been carried out in two steps such as the global or macro analysis and the fine or micro analysis. In the macro analysis, Doubly Asymptotic Approximation(DAA) has been applied. The three main failure modes of structure members subject to strong shock loading are late time fracture mode such as plastic large deformation mainly due to dynamic plastic buckling, and the early time fracture mode such as tensile tearing failure or transverse shear failure. In this paper, the tensile tearing failure mode is numerically analyzed for the micro analysis by calculating the dynamic stress intensity factor $K_I(t)$, which shows the relation between stress wave and crack propagation on the longitudinal stiffener of the model. Especially, in calculating this factor, the numerical caustic method developed from shadow optical method of caustic well known as experimental method is used. The fully submerged vessel is adopted for the macro analysis at first, of which the longitudinal stiffener, subject to early shock pressure time history calculated in macro analysis, is adopted for the micro analysis.

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Seismic design of chevron braces cupled with MRF fail safe systems

  • Longo, Alessandra;Montuori, Rosario;Piluso, Vincenzo
    • Earthquakes and Structures
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    • v.8 no.5
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    • pp.1215-1240
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    • 2015
  • In this paper, the Theory of Plastic Mechanism Control (TPMC) is applied to the seismic design of dual systems composed by moment-resisting frames and Chevron braced frames. The application of TPMC is aimed at the design of dual systems able to guarantee, under seismic horizontal forces, the development of a collapse mechanism of global type. This design goal is of primary importance in seismic design of structures, because partial failure modes and soft-storey mechanisms have to be absolutely prevented due to the worsening of the energy dissipation capacity of structures and the resulting increase of the probability of failure during severe ground motions. With reference to the examined structural typology, diagonal and beam sections are assumed to be known quantities, because they are, respectively, designed to withstand the whole seismic actions and to withstand vertical loads and the net downward force resulting from the unbalanced axial forces acting in the diagonals. Conversely column sections are designed to assure the yielding of all the beam ends of moment-frames and the yielding and the buckling of tensile and compressed diagonals of the V-Braced part, respectively. In this work, a detailed designed example dealing with the application of TPMC to moment frame-chevron brace dual systems is provided with reference to an eight storey scheme and the design procedure is validated by means of non-linear static analyses aimed to check the actual pattern of yielding. The results of push-over analyses are compared with those obtained for the dual system designed according to Eurocode 8 provisions.

A Study on the Characteristics of Nonlinear Unstable Phenomenon According to the Shape Variation of Cable Domes (케이블 돔 구조물의 형태 변화에 따른 비선형 불안정 거동의 특성에 관한 연구)

  • Kim, Seung Deog;Back, In Seong;Kim, Hyung Seok
    • Journal of Korean Society of Steel Construction
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    • v.16 no.3 s.70
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    • pp.345-353
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    • 2004
  • One of the key issues in spatial structures with large spaces is how to carry the weight of the roof. This can be solved by the effective use of tension members. A cable dome structural system facilitates the construction of a large space structure. As external load increases, however, the cable dome structural system is put at risk due to global buckling. This study measures the shape of the Geiger and Flower-type cable dome by applying an initial stress. This unstable phenomenon is also examined using a perfectly shaped model and an imperfect model, which are both subjected to an axisymmetric load.