• Title/Summary/Keyword: Geometrical Non-linearity

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A Nonlinear Analysis of Un-stiffened Steel Shear Wall (무보강 강판 전단벽의 비선형 해석)

  • Yoon, Myung-Ho
    • Journal of The Korean Digital Architecture Interior Association
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    • v.3 no.2
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    • pp.47-54
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    • 2003
  • A Steel plate shear wall can be used as one of the lateral force resistant elements in buildings. It have many advantages from a structural point of view such as ductility, energy absorption capacity and initial stiffness etc. In this study to grasp the behavior of steel plate shear wall considering material and geometrical non-linearity, the FEM analyses were carried out using ANSYS(ver. 5.6) program. The analysis results were fully discussed and compared with test results to verify the validity of analysis method. The object of this study is to find out analytically the elasto-plastic behavior of un-stiffened steel plate shear wall.

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Adaptive Re-reflecting Wave Control In Plunger Type Wave Maker System: Experiments In Two Dimensional Wave Basin

  • Park, Gun-Il;Kim, Ki-Jung;Park, Jae-Woong;Lee, Jin-Ho
    • Journal of Ship and Ocean Technology
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    • v.7 no.1
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    • pp.13-18
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    • 2003
  • The control performances for active re-reflecting wave control suggested in the previous paper have been verified in cases of regular and irregular waves in a real two dimensional wave basin. For regular waves, the control performances are investigated in terms of reflection coefficients, expected amplitudes of propagating waves and wave absorbing capabilities after cessation of wave generation, compared with those of no-control cases. For irregular waves similar verification procedures were adopted. Though there are certain constraints due to the geometrical non-linearity of wave maker and certain nonlinear characteristics due to the near field and gravity waves these experiments show that the control logic could be useful in realizing re-reflecting wave control in conditions of real wave basin.

Experimental and numerical investigations into the composite behaviour of steel frames and precast concrete infill panels with window openings

  • Teeuwen, P.A.;Kleinman, C.S.;Snijder, H.H.;Hofmeyer, H.
    • Steel and Composite Structures
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    • v.10 no.1
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    • pp.1-21
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    • 2010
  • As an alternative for conventional structures for tall buildings, a hybrid lateral load resisting structure has been designed, enabling the assembly of tall buildings directly from a truck. It consists of steel frames with discretely connected precast concrete infill panels provided with window openings. Besides the stiffening and strengthening effect of the infill panels on the frame structure, economical benefits may be derived from saving costs on materials and labour, and from reducing construction time. In order to develop design rules for this type of structure, the hybrid infilled frame has recently been subjected to experimental and numerical analyses. Ten full-scale tests were performed on one-storey, one-bay, 3 by 3 m infilled frame structures, having different window opening geometries. Subsequently, the response of the full-scale experiments was simulated with the finite element program DIANA. The finite element simulations were performed taking into account non-linear material characteristics and geometrical non-linearity. The experiments show that discretely connected precast concrete panels provided with a window opening, can significantly improve the performance of steel frames. A comparison between the full-scale experiments and simulations shows that the finite element models enable simulating the elastic and plastic behaviour of the hybrid infilled frame.

Large amplitude free vibrations of FGM shallow curved tubes in thermal environment

  • Babaei, Hadi;Kiani, Yaser;Eslami, M. Reza
    • Smart Structures and Systems
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    • v.25 no.6
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    • pp.693-705
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    • 2020
  • In the current investigation, large amplitude free vibration behavior of shallow curved pipes (tubes) made of functionally graded materials is investigated. Properties of the tube are distributed across the radius of the tube and are obtained by means of a power law function. It is also assumed that all thermo-mechanical properties are temperature dependent. The governing equations of the tube are obtained using a higher order shear deformation tube theory, where the traction free boundary conditions are satisfied on the top and bottom surfaces of the tube. The von Kármán type of geometrical non-linearity is included into the formulation to consider the large displacements and small strains. Uniform temperature elevation of the tube is also included into the formulation. For the case of tubes which are simply supported in flexure and axially immovable, the governing equations are solved using the two-step perturbation technique. Closed form expressions are provided to obtain the small and large amplitude fundamental natural frequencies of the FGM shallow curved tubes in thermal environment. Numerical results are given to explore the effects of thermal environment, radius ratio, and length to thickness ratio of the tube on the fundamental linear and non-linear frequencies.

Equilibrium Point and Stability of Double-Free-Nodes Space Truss Under Symmetric Condition (대칭 조건을 갖는 2-자유절점 공간 트러스의 평형점과 안정성)

  • Ha, Junhong;Shon, Sudeok;Lee, Seungjae;Hwang, Kyung-Ju
    • Journal of Korean Association for Spatial Structures
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    • v.19 no.4
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    • pp.69-76
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    • 2019
  • A stadium roof that uses the pin-jointed spatial truss system has to be designed by taking into account the unstable phenomenon due to the geometrical non-linearity of the long span. This phenomenon is mainly studied in the single-free-node model (SFN) or double-free-node model (DFN). Unlike the simple SFN model, the more complex DFN model has a higher order of characteristic equations, making analysis of the system's stability complicated. However, various symmetric conditions can allow limited analysis of these problems. Thus, this research looks at the stability of the DFN model which is assumed to be symmetric in shape, and its load and equilibrium state. Its governing system is expressed by nonlinear differential equations to show the double Duffing effect. To investigate the dynamic behavior and characteristics, we normalize the system of the model in terms of space and time. The equilibrium points of the system unloaded or symmetrically loaded are calculated exactly. Furthermore, the stability of these points via the roots of the characteristic equation of a Jacobian matrix are classified.

A Study on the Large Deflection of Flat Spring Subjected to Follower Load by a Rotating Pin (회전 핀의 종동 하중에 따른 박판 스프링의 대변형에 대한 연구)

  • Chung, Il-Sup
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.9
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    • pp.1352-1358
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    • 2004
  • The mechanical spring is one of widely used machine elements. Among various kinds, flat-type spring loaded by a rotating pin was studied. A flat spring was simplified to a cantilever beam, and numerical analysis was attempted. Since the loading pin rotates about a separate axis from the fixed spring or vice versa, the location, direction, and magnitude of the contact force including normal contact and friction loads vary accordingly. Meanwhile, the spring is deformed substantially as the relative motion progresses. Therefore, this problem needs to be formulated taking the follower loading characteristics and geometrical non-linearity into account. Derived nonlinear differential equation was solved to yield the spring deflection, contact force and the torque to rotate the pin, and the result was compared with a finite element solution. Also, the influences of principal design parameters were studied. The proposed methodology is expected to be useful for the design of pin-loaded flat spring and the prevention of mechanical failures in the form of yielding or fatigue failure of spring or severe wear of the components.

Nonlinear Dynamic Analysis of Space Truss by Using Multistage Homotopy Perturbation Method (시분할구간 호모토피 섭동법을 이용한 공간 트러스의 비선형 동적 해석)

  • Shon, Su-Deok;Ha, Jun-Hong;Lee, Seung-Jae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.9
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    • pp.879-888
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    • 2012
  • This study aims to apply multistage homotopy perturbation method(MHPM) to space truss composed of discrete members to obtain a semi-analytical solution. For the purpose of this research, a nonlinear governing equation of the structures is formulated in consideration of geometrical nonlinearity, and homotopy equation is derived. The result of carrying out dynamic analysis on a simple model is compared to a numerical method of 4th order Runge-Kutta method(RK4), and the dynamic response by MHPM concurs with the numerical result. Besides, the displacement response and attractor in the phase space is able to delineate dynamic snapping properties under step excitations and the responses of damped system are reflected well the reduction effect of the displacement.

Development of Geometrically Nonlinear Finite Element Analysis Examples for Computational Structural Analysis (전산구조해석을 위한 기하학적 비선형 유한요소해석 예제 개발)

  • Na, Won-Bae;Lee, Sun-Min
    • Journal of Fisheries and Marine Sciences Education
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    • v.24 no.5
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    • pp.699-711
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    • 2012
  • An undergraduate course named computational structural analysis becomes more significant in recent years because of its important role in industries and the recent innovation in computer technology. Typically, the course consists of introduction to finite element method, utilization of general purpose finite element software, and examples focusing on static and linear analyses on various structural members such as a beam, truss, frame, arch, and cable. However, in addition to the static and linear analyses, current industries ask graduates to acquire basic knowledge on structural dynamics and nonlinear analysis, which are not listed in the conventional syllabus of the computational structural analysis. Therefore, this study develops geometrically nonlinear examples, which can help students to easily capture the fundamental nonlinear theory, software manipulation, and problem solving skills. For the purpose, five different examples are found, developed for the analyses of cables and cable nets, which naturally have strong geometrical non-linearity. In the paper, these examples are presented, discussed, and finally compared for a better subject development.

Finite element based post-buckling analysis of refined graphene oxide reinforced concrete beams with geometrical imperfection

  • Mirjavadi, Seyed Sajad;Forsat, Masoud;Yahya, Yahya Zakariya;Barati, Mohammad Reza;Jayasimha, Anirudh Narasimamurthy;Khan, Imran
    • Computers and Concrete
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    • v.25 no.4
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    • pp.283-291
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    • 2020
  • The present paper researches post-buckling behaviors of geometrically imperfect concrete beam resting on elastic foundation reinforced with graphene oxide powders (GOPs) based on finite element method (FEM). Distribution of GOPs are considered as uniform and linearly graded through the thickness. Geometric imperfection is considered as first buckling mode shape of the beam, the GOP reinforced beam is rested in initial position. The material properties of GOP reinforced composite have been calculated via employment of Halpin-Tsai micromechanical scheme. The provided refined beam element verifies the shear deformation impacts needless of any shear correction coefficient. The post-buckling load-deflections relations have been calculated via solving the governing equations having cubic non-linearity implementing FEM. Obtained findings indicate the importance of GOP distributions, GOP weight fraction, matrix material, geometric imperfection, shear deformation and foundation parameters on nonlinear buckling behavior of GOP reinforced beam.

Numerical Evaluation of Buckling Strength for High-Strength Corrugated Steel Structures (고강도 원형 지중강판 구조물의 좌굴성능에 대한 수치적 평가)

  • Choi, Dongho;Cho, Sunkyu;Park, Sangil;Moon, Eunkyung
    • Journal of the Korean GEO-environmental Society
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    • v.7 no.6
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    • pp.75-88
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    • 2006
  • This paper evaluates the feasibility of use of high-strength steel for soil-metal corrugated steel structures. Two specifications, the AASHTO(2004) and the CHBDC(2000), were compared and the scientific background of equations for the buckling stability in those specifications were investigated to figure out the governing factors for buckling strength of structures. Numerous finite element analyses for round-pipe type of soil-metal corrugated steel structures were carried out with considering the elastic-plastic relationship of a material and the geometrical non-linearity, as well as the various design variables, such as span length, depths of soil cover, section properties, tensile strength and backfill conditions. Buckling strength equation of the CHBDC(2000) is still valid and conservative for both normal and high-strength steel soil-metal corrugated steel structures, and the buckling strength increases with the use of hight-strengths steel.

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