• Title/Summary/Keyword: Initial imperfections

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A force-based element for direct analysis using stress-resultant plasticity model

  • Du, Zuo-Lei;Liu, Yao-Peng;Chan, Siu-Lai
    • Steel and Composite Structures
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    • v.29 no.2
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    • pp.175-186
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    • 2018
  • The plastic hinge method and the plastic zone method are extensively adopted in displacement-based elements and force-based elements respectively for second-order inelastic analysis. The former enhances the computational efficiency with relatively less accurate results while the latter precisely predicts the structural behavior but generally requires more computer time. The displacement-based elements receive criticism mainly on plasticity dominated problems not only in accuracy but also in longer computer time to redistribute the forces due to formation of plastic hinges. The multi-element-per-member model relieves this problem to some extent but will induce a new problem in modeling of member initial imperfections required in design codes for direct analysis. On the contrary, a force-based element with several integration points is sufficient for material yielding. However, use of more integration points or elements associated with fiber section reduces computational efficiency. In this paper, a new force-based element equipped with stress-resultant plasticity model with minimal computational cost is proposed for second-order inelastic analysis. This element is able to take the member initial bowing into account such that one-element-per-member model is adequate and complied with the codified requirements of direct analysis. This innovative solution is new and practical for routine design. Finally, several examples demonstrate the validity and accuracy of the proposed method.

A Study on Design of Fillet Weld Size for Stiffener in the Hull Bottom of Crude Oil Tanker (Crude Oil Tanker 선저부 보강재 필렛 용접부 각장 설계에 관한 연구)

  • Kang, Bong-Gook;Shin, Sang-Beom;Park, Dong-Hwan
    • Journal of Welding and Joining
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    • v.32 no.1
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    • pp.79-86
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    • 2014
  • The purpose of this study is to determine the proper fillet weld size for the stiffeners on hull bottom plate of crude oil tanker. To achieve it, the effective notch stress and hot spot stress of the fillet weld with leg length specified in the rule were evaluated by using comprehensive FE analyses. Based on the results, the fatigue damages at each location of weld were calculated. Meanwhile the transitional behavior of initial welding distortion in the hull bottom plate under the design conditions was investigated by using a non-linear FEA. Welding distortion and residual stress introduced during fabrication process were considered as initial imperfections. According to FE analysis results, if the fillet leg length satisfies the design criteria of the classification society, the concern on the root failure at the fillet welds in the bottom hull plate during the design life can be negligible. In addition, considering the transitional behavior of the distortion during the service life, the fillet leg length should be minimized.

Effect of out-of-plane defects on the postbuckling behavior of graphene sheets based on nonlocal elasticity theory

  • Soleimani, Ahmad;Dastani, Kia;Hadi, Amin;Naei, Mohamad Hasan
    • Steel and Composite Structures
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    • v.30 no.6
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    • pp.517-534
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    • 2019
  • In this paper, the effects of inevitable out-of-plane defects on the postbuckling behavior of single-layered graphene sheets (SLGSs) under in-plane loadings are investigated based on nonlocal first order shear deformation theory (FSDT) and von-Karman nonlinear model. A generic imperfection function, which takes the form of the products of hyperbolic and trigonometric functions, is employed to model out-of-plane defects as initial geometrical imperfections of SLGSs. Nonlinear equilibrium equations are derived from the principle of virtual work and variational formulation. The postbuckling equilibrium paths of imperfect graphene sheets (GSs) are presented by solving the governing equations via isogeometric analysis (IGA) and Newton-Raphson iterative method. Finally, the sensitivity of the postbuckling behavior of GS to shape, amplitude, extension on the surface, and location of initial imperfection is studied. Results showed that the small scale and initial imperfection effects on the postbuckling behavior of defective SLGS are important and cannot be ignored.

Stability Design of Steel Frames considering Initial Imperfection based on Second-Order Elastic Analysis (2차 탄성해석을 이용한 강뼈대구조의 초기결함 좌굴설계)

  • Kyung, Yong Soo;Lee, Chang Hwan;Kim, Moon Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.465-474
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    • 2008
  • Generally design of frame structures composed of beam-column member is accomplished by stability evaluation of each member considering the effective buckling length. This study selects a member of the smallest non-dimension slenderness ratio using the buckling eigenvalue calculated by the elastic buckling eigen-value analysis and axial force of the each member, and decides the initial deflection quantity reflected geometric and material nonlinearities from a suggested equation on the base of standard strength curve of Korea Bridge Design Code. Second-order elastic analysis applying the initial deflection is executed and the stability of each member is evaluated and decides ultimate strength. Through examples of eight-stories and four-stories plane frame structures, the evaluation of the stability is compared with the existing method and ultimate strength of the suggested method is compared with ultimate strength by the nonlinear inelastic analysis. Through these procedures, the increasing of effective buckling length by elastic buckling eigenvalue analysis is prevented from a new design method that considers initial imperfections. And the validity of this method is proved.

Ultimate Compressive Strength-Based Safely and Reliability Assessment of the Double Skin Upper Deck Structure (압축최종강도(壓縮最終强度)를 기준으로한 이중갑판구조(二重甲板構造)의 안전성(安全性) 및 신뢰성(信賴性) 평가(評價))

  • Jeom-K. Paik
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.150-168
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    • 1991
  • A practical procedure for the ultimate compressive strength-based safety and reliability assessment of the double skin upper deck structure is described. The external compressive stress acting on the upper deck structure which is due to the still water and wave-induced sagging moment is approximately estimated by using the existing rule of classification society. The ultimate compressive stress of double skin structure under the action of sagging moment is analyzed by using idealized structural unit method. Here an idealized plate element subjected to uniaxial load is formulated by idealizing the nonlinear behaviour of the actual element taking account of the initial imperfections in the form of initial deflection and welding residual stress. The interaction effect between the local and global failure in the structure is also taken into consideration. The accuracy of the present method is verified comparing with the present solution and the existing numerical and experimental results for unit member and welded box columns. The safety of the structure is evaluated using the concept of conventional central safety factor and the reliability assessment is made by using Cornel's MVFOSM method. The present procedure is then applied to upper deck structure of double skin product oil carrier. The influence of the initial imperfections and the yield stress of the material on the safety and reliability of the structure is investigated.

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Nonlinear spectral collocation analysis of imperfect functionally graded plates under end-shortening

  • Ghannadpour, S. Amir M.;Kiani, Payam
    • Structural Engineering and Mechanics
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    • v.66 no.5
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    • pp.557-568
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    • 2018
  • An investigation is made in the present work on the post-buckling and geometrically nonlinear behaviors of moderately thick perfect and imperfect rectangular plates made-up of functionally graded materials. Spectral collocation approach based on Legendre basis functions is developed to analyze the functionally graded plates while they are subjected to end-shortening strain. The material properties in this study are varied through the thickness according to the simple power law distribution. The fundamental equations for moderately thick rectangular plates are derived using first order shear deformation plate theory and taking into account both geometric nonlinearity and initial geometric imperfections. In the current study, the domain of interest is discretized with Legendre-Gauss-Lobatto nodes. The equilibrium equations will be obtained by discretizing the Von-Karman's equilibrium equations and also boundary conditions with finite Legendre basis functions that are substituted into the displacement fields. Due to effect of geometric nonlinearity, the final set of equilibrium equations is nonlinear and therefore the quadratic extrapolation technique is used to solve them. Since the number of equations in this approach will always be more than the number of unknown coefficients, the least squares technique will be used. Finally, the effects of boundary conditions, initial geometric imperfection and material properties are investigated and discussed to demonstrate the validity and capability of proposed method.

Resisting Strength of Ring-Stiffened Cylindrical Steel Shell under Uniform External Pressure (균일외압을 받는 링보강 원형단면 강재 쉘의 강도특성)

  • Ahn, Joon Tae;Shin, Dong Ku
    • Journal of Korean Society of Steel Construction
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    • v.30 no.1
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    • pp.25-35
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    • 2018
  • Resisting strength of ring-stiffened cylindrical steel shell under uniform external pressure was evaluated by geometrically and materially nonlinear finite element method. The effects of shape and amplitude of geometric initial imperfection, radius to thickness ratio, and spacing of ring stiffeners on the resisting strength of ring-stiffened shell were analyzed. The resisting strength of ring-stiffened cylindrical shells made of SM490 obtained by FEA were compared with design strengths specified in Eurocode 3 and DNV-RP-C202. The shell buckling modes obtained from a linear elastic bifurcation FE analysis were introduced in the nonlinear FE analysis as initial geometric imperfections. The radius to thickness ratios of cylindrical shell in the range of 250 to 500 were considered.

Spline function solution for the ultimate strength of member structures

  • Zhang, Qi-Lin;Shen, Zu-Yan
    • Structural Engineering and Mechanics
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    • v.2 no.2
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    • pp.185-196
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    • 1994
  • In this paper a spline function solution for the ultimate strength of steel members and member structures is derived based on total Lagrangian formulation. The displacements of members along longitudinal and transverse directions are interpolated by one-order B spline functions and three-order hybrid spline functions respectively. Equilibrium equations are established according to the principle of virtual work. All initial imperfections of members and effects of loading, unloading and reloading of material are taken into account. The influence of the instability of members on structural behavior can be included in analyses. Numerical examples show that the method of this paper can satisfactorily analyze the elasto-plastic large deflection problems of planar steel member and member structures.

Recent applications of force/torque sensors

  • Morris, Keith A.
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.790-793
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    • 1988
  • It has become clear that through the use of force/torque sensing many previously uneconomical or unsuccessful applications can now be performed successfully. The earlier-anticipated boom of robots dominating factory production has not yet occured. Many robot installations have not met the initial expectations of users or have failed completely, souring the prospects of future robotic applications. Yet the reason many of these earlier applications have failed is very basic, that is that the robot was expected to blindly perform a task perfectly in an imperfect environment. There must be an additional level of feedback so that the robot may adapt to these imperfections, thus ensuring the ultimate success of the application. This additional level of real-world sensing is provided by force/torque sensors and their continued use will ensure the eventual proliferation of factory robots.

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Buckling of Composite Cylindrical Shells Sugjected ot Torsion of Lateral Pressure (비틀림 및 횡압럭을 받고 있는 복합재 원통쉘의 좌굴)

  • Han, Byeong-Gi;Lee, Seong-Hui;Yu, Taek-In
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1436-1444
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    • 1996
  • The problem ofinstability of laminated circular cylindrical shell under the action of torsio or lateral pressure is investigated. The analysis is based on the Sander's theory for finite deformations of thin shell. The buckling is elastic for thin compoisite shell nad the geometry is assumed to be free of initial imperfections. The equilibrium equations are obrained by usitn the p[erturbation technique. Solution procedure is based on the Galerkin mehtod. The computer program for numerical results is made for several stacking sequence, length-to-radius ratio, and radius-to-thickness ratio. The numerical results of buckling load are present.