• Title/Summary/Keyword: Linear Buckling

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Chaotic Responses of Curved Plate under Sinusoidal Loading

  • W.Y. Poon;C.F. Ng;Lee, Y.Y.
    • Journal of Mechanical Science and Technology
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    • v.17 no.1
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    • pp.85-96
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    • 2003
  • In the present investigation, the nonlinear dynamic buckling of a curved plate subjected to sinusoidal loading is examined. By the theoretical analyses, a highly nonlinear snap-through motion of a clamped-free-clamped-free plate and its effect on the overall vibration response are investigated. The problem is reduced to that of a single degree of freedom system with the Rayleigh-Ritz procedure. The resulting nonlinear governing equation is solved using Runge-Kutta (RK-4) numerical integration method. The snap-through boundaries, which vary with different damping coefficient and linear circular frequency of the flat plate are studied and given in terms of force and displacement. The relationships between static and dynamic responses at the start of a snap-through motion are also predicted. The analysis brings out various characteristic features of the phenomenon, i.e. 1) small oscillation about the buckled position-softening spring type motion, 2) chaotic motion of intermittent snap-through, and 3) large oscillation of continuous snap-through motion crossing the two buckled positions-hardening spring type. The responses of buckled plate were found to be greatly affected by the snap-through motion. Therefore, better understanding of the snap-through motion is needed to predict the full dynamic response of a curved plate.

Study of Failure Mode and Static Behavio of Lightweight FRP Bridge Deck System (복합재료 교량 시스템의 정적거동 분석 및 파괴모드에 관한 연구)

  • Jung Woo-Young;Lee Hyung-Kil;An Byoung-Yun;Baek Sang-Hoon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.922-927
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    • 2006
  • There is a concern with worldwide deterioration of highway bridges, particularly reinforced concrete. The advantages of fibre reinforced plastic(FRP) composites over conventional materials motivate their use in highway bridges for replacement of structures. Recently, an FRP deck has been installed on a state highway, located in New York State, as an experimental project. In this paper, a systematic approach for analysis of this FRP deck bridge is presented. Multi-step linear numerical analyses have been performed using the finite element method to study the structural behavior and the possible failure mechanism of the FRP deck-superstructure system Deck's self-weight and ply orientations at the interface between steel girders and FRP deck are considered in this study. From this research, the results of the numerical analyses were corroborated with field test results. Analytical results reveal several potential failure mechanism for the FRP deck and truss bridge system The results presented in this study may be used to propose engineering design guideline for new and replacement FRP bridge deck structure.

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Ultimate Strength Testing of 3-D Steel Frame Subjected to Non-Proportional Loads (순차하중을 재하한 3차원 강뼈대 구조물의 극한강도 실험)

  • Kim, Seung Eock;Kang, Kyung Won
    • Journal of Korean Society of Steel Construction
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    • v.14 no.1
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    • pp.59-67
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    • 2002
  • The ultimate strength testing of a two-story, single-bay, and sway allowed space steel frame was performed. Considering a majority of large-scale frame tests in the past, only two-dimensional frames were experimentally studied. Therefore, three-dimensional experiment is needed to extend the knowledge of this field. The steel frame subjected to non-proportional vertical and horizontal load was tested. The load-displacement curve of the test frame is provided. The experiment results are useful for verification of the three-dimensional numerical analysis. The results obtained from 3D non-linear analysis using ABAQUS were compared with experimental data.

A Study on the Non-Linear Static Analysis for L-type Front Lower Control Arm (L 형 전륜 로어 암의 대하중 강도 해석 기법 연구)

  • Lee, Soon-Wook;Koo, Ja-Suk;Song, Min-Soo
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.453-458
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    • 2008
  • Under driving condition, A vehicle experiences various kinds of loads, which brings on the buckling and fracture of suspension systems. Lower control arm (LCA), which consists of 2 bush joints and 1 ball joint connection, is the one of the most important parts in the suspension system. The bush joints absorb the impact load and reduce the vibration from the road. When analyzing the LCA behavior, it is important to understand the material properties and boundary conditions of bushing systems correctly, because of the nonlinearity characteristics of the rubber. In this paper, in order to predict the large scale deformation of the LCA more precisely, three factors are newly suggested, that is, coupling of bush stiffness between translation and rotation, bush extraction force and maximum rotation angle of ball joint. LCA stiffness is estimated by CAE and component test. Analysis and test results are almost same and the validity of considering three factors in LCA analysis is verified.

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Geometrically Nonlinear Analysis of Stiffened Shell Structures Using the Assumed Strain Shell Element (가정변형도 쉘요소를 이용한 보강된 쉘구조의 기하학적 비선형해석)

  • 최명수;김문영;장승필
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.209-220
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    • 2000
  • For non-linear analysis of stiffened shell structures, the total Lagrangian formulation is presented based upon the degenerated shell element. Geometrically correct formulation is developed by updating the direction of normal vectors and taking into account second order rotational terms in the incremental displacement field. Assumed strain concept is adopted in order to overcome shear locking phenomena and to eliminate spurious zero energy mode. The post-buckling behaviors of stiffened shell structures are traced by modeling the stiffener as a shell element and considering general transformation between the main structure and the stiffener at the connection node. Numerical examples to demonstrate the accuracy and the effectiveness of the proposed shell element are presented and compared with references' results.

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Evaluating the performance of OBS-C-O in steel frames under monotonic load

  • Bazzaz, Mohammad;Andalib, Zahra;Kafi, Mohammad Ali;Kheyroddin, Ali
    • Earthquakes and Structures
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    • v.8 no.3
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    • pp.699-712
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    • 2015
  • Bracing structures with off-centre bracing system is one of the new resistant systems that frequently used in the frame with pin connections. High ductility, high-energy dissipation and decrease of base shear are advantages of this bracing system. However, beside these advantages, reconstruction and hard repair of off-centre bracing system cause inappropriate performance in the earthquake. Therefore, in this paper, the goal is investigating the behavior of this type of bracing system with ductile element (circular dissipater), in order to providing replacement of damaged member without needing repair or reconstruction of the general system. To achieve this purpose, some numerical studies have been performed using ANSYS software, a frame with off-centre bracing system and optimum eccentricity (OBS-C-O) and another frame with the same identifications without ductile element (OBS) has been created. In order to investigate precisely on the optimum placement of circular elements under monotonic load again three steal frames were modeled. Furthermore, the behavior of this general system investigated for the first time, linear and nonlinear behavior of these two steel frames compared to each other, to achieve the benefit of using the circular element in an off-centre bracing system. Eventually, the analytical results revealed that the performance of steel ring at the end of off-centre braces system illustrating as a first defensive line and buckling fuse in the off-centre bracing system.

Hysteretic behavior of dissipative welded fuses for earthquake resistant composite steel and concrete frames

  • Calado, Luis;Proenca, Jorge M.;Espinha, Miguel;Castiglioni, Carlo A.
    • Steel and Composite Structures
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    • v.14 no.6
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    • pp.547-569
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    • 2013
  • In recent years there has been increasing international interest about designing structures that cost less to repair after they have been subjected to strong earthquakes. Considering this interest, an innovative repairable fuse device has been developed for dissipative beam-to-column connections in moment-resisting composite steel and concrete frames. The seismic performance of the device was assessed through an extensive experimental program comprising ten cyclic and two monotonic tests. These tests were conducted on a single beam-to-column specimen with different fuse devices for each test. The devices varied in terms of the chosen geometric and mechanical parameters. The tests showed that the devices were able to concentrate plasticity and to dissipate large amounts of energy through non-linear behavior. Numerical models were developed with Abaqus and simplified design models are also proposed.

Forming Limit Prediction in Tube Hydroforming Processes by Using the FEM and FLSD (유한요소법과 FLSD를 이용한 관재 하이드로포밍 공정에서의 성형 한계 예측)

  • Kim S. W.;Kim J.;Lee J. H.;Kang B. S.
    • Transactions of Materials Processing
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    • v.14 no.6 s.78
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    • pp.527-532
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    • 2005
  • Among the failure modes which can occur in tube hydroforming such as wrinkling, bursting or buckling, the bursting by local instability under excessive tensile stresses is irrecoverable phenomenon. Thus, the accurate prediction of bursting condition plays an important role in producing the successfully hydroformed part without any defects. As the classical forming limit criteria, strain-based forming limit diagram (FLD) has widely used to predict the failure in sheet metal forming. However, it is known that the FLD is extremely dependant on strain path throughout the forming process. Furthermore, The application of FLD to hydroforming process, where strain path is no longer linear throughout forming process, may lead to misunderstanding for fracture initiation. In this work, stress-based forming limit diagram (FLSD), which is strain path-independent and more general, was applied to prediction of forming limit in tube hydroforming. Combined with the analytical FLSD determined from plastic instability theory, finite element analyses were carried out to find out the state of stresses during hydroforming operation, and then FLSD is utilized as forming limit criterion. In addition, the approach is verified by a series of bulge tests in view of bursting pressure and shows a good agreement. Consequently, it is shown that the approach proposed in this paper will provide a feasible method to satisfy the increasing practical demands for judging the forming severity in hydroforming processes.

Forming Limit Prediction in Tube Hydroforming Processes by using the FEM and ELSD (유한요소법과 FLSD를 이용한 관재 하이드로포밍 공정에서의 성형 한계 예측)

  • Kim S. W.;Kim J.;Lee J. H.;Kang B. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.05a
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    • pp.92-96
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    • 2005
  • Among the failure modes which can be occurred in tube hydroforming such as wrinkling, bursting or buckling, the bursting by local instability under excessive tensile stresses is irrecoverable phenomenon. Thus, the accurate prediction of bursting condition plays an important role in producing the successfully hydroformed part without any defects. As the classical forming limit criteria, strain-based forming limit diagram has widely used to predict the failure in sheet metal forming. However, it is known that the FLD is extremely dependant on strain path throughout the forming process. Furthermore, the path-dependent limitation of FLD makes the application to hydroforming process, where strain path is no longer linear throughout forming process, more careful. In this work, stress-based forming limit diagram (FLSD), which is strain path-independent and more general, was applied to prediction of forming limit in tube hydroforming. Combined with the analytical FLSD determined from plastic instability theory, finite element analyses were carried out to find out Ihe state of stresses during hydroforming operation, and then FLSD is utilized as forming limit criterion. In addition, the approach is verified with a series of bulge tests in view of bursting pressure and shows a good agreement. Consequently, it is shown that the approach proposed in this paper will provide a feasible method to satisfy the increasing practical demands for judging the farming severity in hydroforming processes.

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Optimum location of second outrigger in RC core walls subjected to NF earthquakes

  • Beiraghi, Hamid;Hedayati, Mansooreh
    • Steel and Composite Structures
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    • v.38 no.6
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    • pp.671-690
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    • 2021
  • Seismic responses of RC core wall with two outriggers are investigated in this study. In the models analyzed here, one of the outriggers is fixed at the top of the building and the second is placed at different levels along the height of the system. Each of the systems resulting from the placement of the outrigger at different locations is designed according to the prescriptive codes. The location of the outrigger changes along the height. Linear design of all the structures is accomplished by using prescriptive codes. Buckling restrained braces (BRBs) are used in the outriggers and forward directivity near fault and far fault earthquake record sets are used at maximum considered earthquake (MCE) level. Results from nonlinear time history analysis demonstrate that BRB outriggers can change the seismic responses like force distribution and deformation demand of the RC core-walls over the height and lead to the new plastic hinge arrangement over the core-wall height. Plasticity extension in the RC core wall occurs at the base as well as adjacent to the outrigger levels. Considering the maximum inter-story drift ratio (IDR) demand as an engineering parameter, the best location for the second outrigger is at 0.75H, in which the maximum IDR at the region upper the second outrigger level is approximately equal to the corresponding value in the lower region.