• Title/Summary/Keyword: bending and buckling

Search Result 445, Processing Time 0.023 seconds

An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates

  • Bellifa, Hichem;Bakora, Ahmed;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
    • /
    • v.25 no.3
    • /
    • pp.257-270
    • /
    • 2017
  • In this article, an efficient and simple refined theory is proposed for buckling analysis of functionally graded plates by using a new displacement field which includes undetermined integral variables. This theory contains only four unknowns, with is even less than the first shear deformation theory (FSDT). Governing equations are obtained from the principle of virtual works. The closed-form solutions of rectangular plates are determined. Comparison studies are carried out to check the validity of obtained results. The influences of loading conditions and variations of power of functionally graded material, modulus ratio, aspect ratio, and thickness ratio on the critical buckling load of functionally graded plates are examined and discussed.

A Study on the Buckling Stability due to Lateral Impact of Gas Pipe Installed on the Sea-bed (해저면에 설치된 가스관의 외부충격에 의한 좌굴 안전성 검토)

  • Park, Joo-Shin;Yi, Myung-Su
    • Journal of the Korean Society of Marine Environment & Safety
    • /
    • v.28 no.2
    • /
    • pp.414-421
    • /
    • 2022
  • Subsea oil and gas exploration is increasingly moving into deeper water depths, and typically, subsea pipelines operate under high pressure and temperature conditions. Owing to the difference in these components, the axial force in the pipe is accumulated. When a pipeline is operated at a high internal pressure and temperature, it will attempt to expand and contract for differential temperature changes. Typically, the line is not free to move because of the plane strain constraints in the longitudinal direction and soil friction effects. For a positive differential temperature, it will be subjected to an axial compressive load, and when this load reaches a certain critical value, the pipe may experience vertical (upheaval buckling) or lateral (snaking buckling) movements that can jeopardize the structural integrity of the pipeline. In these circumstances, the pipeline behavior should be evaluated to ensure the pipeline structural integrity during operation in those demanding loading conditions. Performing this analysis, the correct mitigation measures for thermal buckling can be considered either by accepting bar buckling but preventing the development of excessive bending moment or by preventing any occurrence of bending.

Accurate buckling analysis of rectangular thin plates by double finite sine integral transform method

  • Ullah, Salamat;Zhang, Jinghui;Zhong, Yang
    • Structural Engineering and Mechanics
    • /
    • v.72 no.4
    • /
    • pp.491-502
    • /
    • 2019
  • This paper explores the analytical buckling solution of rectangular thin plates by the finite integral transform method. Although several analytical and numerical developments have been made, a benchmark analytical solution is still very few due to the mathematical complexity of solving high order partial differential equations. In solution procedure, the governing high order partial differential equation with specified boundary conditions is converted into a system of linear algebraic equations and the analytical solution is obtained classically. The primary advantage of the present method is its simplicity and generality and does not need to pre-determine the deflection function which makes the solving procedure much reasonable. Another advantage of the method is that the analytical solutions obtained converge rapidly due to utilization of the sum functions. The application of the method is extensive and can also handle moderately thick and thick elastic plates as well as bending and vibration problems. The present results are validated by extensive numerical comparison with the FEA using (ABAQUS) software and the existing analytical solutions which show satisfactory agreement.

Behaviour and stability of prestressed steel plate girder for torsional buckling

  • Gupta, L.M.;Ronghe, G.N.;Naghate, M.K.
    • Steel and Composite Structures
    • /
    • v.3 no.1
    • /
    • pp.65-73
    • /
    • 2003
  • A higher level of engineering standard in the field of construction, is the use of prestressing in building structures. The concept of prestressing steel structures has only recently been widely considered, despite a long and successful history of prestressing concrete members. Several analytical studies of prestressed steel girders were reported in literatures, but much of the work was not studied with reference to the optimal design and behaviour of the prestressed steel plate girder. A plate girder prestressed eccentrically, will behave as a beam-column, which is subjected to axial compression and bending moment which will cause the beam to buckle out. The study of buckling of the prestressed steel plate girder is necessary for stability criteria. This paper deals with the stability of prestressed steel plate girder using concept of "Vlasov's Circle of Stability" under eccentric prestressing force.

Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing

  • Rezaiee-Pajand, Mohammad;Masoodi, Amir R.;Alepaighambar, Ali
    • Steel and Composite Structures
    • /
    • v.28 no.4
    • /
    • pp.403-414
    • /
    • 2018
  • In this paper, the lateral-torsional buckling of axially-transversally functionally graded tapered beam is investigated. The structure cross-section is assumed to be symmetric I-section, and it is continuously laterally supported by torsional springs through the length. In addition, the height of cross-section varies linearly throughout the length of structure. The proposed formulation is obtained for the case that the elastic and shear modulus change as a power function along the beam length and section height. This structure carries two concentrated moments at the ends. In this study, the lateral displacement and twisting angle relation of the beam are defined by sinusoidal series. After establishing the eigenvalue equation of unknown constants, the beam critical bending moment is found. To validate the accuracy and correctness of results, several numerical examples are solved.

Buckling and Postbuckling Behavior of Cylindrical Composite Panels with a Cutout (구멍을 가지는 원통형 복합적층 패널의 좌굴 및 좌굴후 거동)

  • 임진승;조명래;양원호
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.7 no.8
    • /
    • pp.272-281
    • /
    • 1999
  • Cylindrical panels are widely used as aircraft fuselages and rocket etc, and the cutouts for weight reduction or wiring at such structures tend to cause the stress concentration and the local radial displacement so that seriously effect the stability of structures. In this paper, for the cylindrical composite panel with coutout at the center, the buckling and postbuckling behaviour regarding the shape and size of cutout is analyzed by finite element method. Also the lamination mechanism , changing bending stiffness and fiber orientation angle variation are researched to be regarded in studying the laminated composite materials.

  • PDF

Modal Analysis of Sandwich Plate Structure Considering Buckling (좌굴을 고려한 샌드위치형 판 구조물의 모드해석)

  • Han, Geun-Jo;Ahn, Chan-Woo;Ahn, Seong-Chan;Hong, Do-Kwan;Han, Dong-Seop
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.19 no.6
    • /
    • pp.104-108
    • /
    • 2002
  • Sandwich plate structure is widely used in various fields of industry due to its excellent strength and stiffness compared with weight. In this paper, the mechanical behavior of sandwich plate structure with honeycomb core considering buckling is investigated in detail. The focus of the analysis is to evaluate strength and stiffness of the plate structure with critical stress, natural frequency, and mode shapes. The results of this investigation are obtained from detailed finite element analysis for various parameters, such as length, height ratio, and thickness ratio of honeycomb core.

In-Plane Buckling of Prime and Quadratic Parabolic Arches with Fixed Ends (양단고정 Prime과 Quadratic 포물선 아치의 면내좌굴에 관한 연구)

  • 이병구;김종만
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.29 no.3
    • /
    • pp.153-162
    • /
    • 1987
  • A numerical procedure for the analysis of slender arch buckling problems for uniform dead weight is presented in this paper. Such loading changes in the arch profile. The problem is nonlinear. The numerical procedure is limited to an inextensible analysis and to elastic behavior. Based upon a numerical integration technique developed by Newmark for straight beams, a large deflection bending analysis is combined with small deflection buckling routines to formulate the numerical procedure. The numerical procedure is composed of a combination of the numerical integration and successive approximations procedure. The results obtained in this study are as follows : 1.The critical loads obtained in this study coincide with the results by Austin so that the algorithm developed in this study is verified. 2.The numerical results are converged with good precision when the half arch is divided into 10 segments in both Prime and Quadratic section. 3.The critical loads are decreased as the ratios of rise versus span are increased. 4.The critical loads are increased as the moments of inertia at the ends are increased. 5.The critical loads of Prime section are larger than that of Quadratic section under the same profile conditions.

  • PDF

Development of Tube Hydroforming for a Tail Pipe Using FE Analysis (유한요소해석을 이용한 테일파이프의 튜브하이드로포밍 공정 개발 연구)

  • Han, S.S.
    • Transactions of Materials Processing
    • /
    • v.25 no.3
    • /
    • pp.176-181
    • /
    • 2016
  • The exhaust tail pipe is the only visible part of the exhaust system on a vehicle. The conventional way to make the tail pipe is welding after stamping. There are various problems that occur during the stamping of stainless steel sheets such as scratching and local fracture. Problems during welding can also occur due to poor weldability. Tube hydroforming can be a solution, which eliminates these problems. The current study deals with the development of tube hydroforming for a vehicle tail pipe using finite element analysis for a free-feeding method. The current study focuses on the development of a proper load path for the tail pipe hydroforming and how bending influences the subsequent processing steps. The FE analysis results were compared with experimental results. This study shows the importance of bending and the necessity of considering bending when performing a tube hydroforming analysis.

Two-dimensional isotropic patterns for core materials in applications to sandwich structures (샌드위치 구조물 내에서의 응용과 관련된 2차원 단위 셀 형상을 지닌 심재에 대한 연구)

  • Kim, Beom-Keun;Christensen, R.M.
    • Proceedings of the KSME Conference
    • /
    • 2007.05a
    • /
    • pp.130-135
    • /
    • 2007
  • The mechanical characteristics of three types of core with two-dimensional isotropic patterns-triangular, hexagonal and starcell-were studied in applications to sandwich structures. The Young's modulus and shear modulus were calculated for the three core types in the direction normal to the faces. The compressive buckling strength and shear buckling strength were calculated by modeling each cell wall of the core as a plate under compressive or shear load. To verify this model, tests were conducted on scaled specimens to measures the compressive buckling strength of each core. The bending flexibilities of the three cores were also studied. Compliances for the three cores were measured using biaxial flexural tests. The three isotropic core patterns exhibited distinct characteristics. In the direction normal to the faces, all three cores had the same stiffness. However, the starcell core exhibited high flexibility compared to the other cores, indicating potential for application to curved sandwich structures.

  • PDF