• Title/Summary/Keyword: equivalent load for element stiffness

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Response prediction of a 50 m guyed mast under typhoon conditions

  • Law, S.S.;Bu, J.Q.;Zhu, X.Q.;Chan, S.L.
    • Wind and Structures
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    • v.9 no.5
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    • pp.397-412
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    • 2006
  • This paper presents the wind excited acceleration responses of a 50 m guyed mast under the action of Typhoon Dujuan. The response of the structure is reconstructed from using a full finite element model and an equivalent beam-column model. The wind load is modelled based on the measured wind speed and recommendations for high-rise structures. The nonlinear time response analysis is conducted using the Newton Raphson iteration procedure. Comparative studies on the measured and computed frequencies and acceleration responses show that the torsional vibration of the structure is significant particularly in the higher vibration modes after the first few bending modes. The equivalent model, in general, gives less accurate amplitude predictions than the full model because of the omission of torsional stiffness of the mast in the vibration analysis, but the root-mean-square value is close to the measured value in general with an error of less than 10%.

Efficient FE-Analysis Method with Equivalent Models for Metallic Sandwich Plates with Inner Dimpled Shell Subject to 3-Point Bending (등가 모델을 이용한 3점 굽힘 하중을 받는 딤플형 금속 샌드위치판재의 효율적 해석)

  • Seong D. Y.;Jung C. G.;Yoon S. J.;Yang D. Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.05a
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    • pp.130-133
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    • 2005
  • Efficient finite element method has been introduced for metallic sandwich plates subject to 3-point bending. A full model 3-point bending FE-analysis shows that plastic behavior of inner structures appears only at the load point. So, Unit structures of sandwich plates are defined to numerically calculate the bending stiffness with recurrent boundary condition of pure bending. And then equivalent models with same bending stiffness and strength of full models are designed analytically. It is demonstrated that results of both models are almost same and FE analysis method with equivalent models can reduce analysis time effectively.

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Advanced Geometrically Nonlinear FE Analysis of PSC Shell Structures (프리스트레스트 콘크리트 첼 구조물의 개선된 기하비선형 유한요소해석)

  • Oh Byung Hwan
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.195-200
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    • 2001
  • Numerical procedures for the geometrically nonlinear finite element analysis of prestressed concrete shell structures under tendon-induced nonconservative loads have been presented. The equivalent load approach is employed to realize the effect of prestressing tendon. In this study, the tendon-induced nonconservative loads are rigorously formulated into the load correction stiffness matrix(LCSM) taking the characteristics of Present shell element into account. Also, improved nonlinear formulations of a shell element are used by including second order rotations in the displacement field. Numerical example shows that beneficial effect on the convergence behavior can be obtained by the realistic evaluation of tangent stiffness matrix according to the present approaches.

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Structural matrices of a curved-beam element

  • Gimena, F.N.;Gonzaga, P.;Gimena, L.
    • Structural Engineering and Mechanics
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    • v.33 no.3
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    • pp.307-323
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    • 2009
  • This article presents the differential system that governs the mechanical behaviour of a curved-beam element, with varying cross-section area, subjected to generalized load. This system is solved by an exact procedure or by the application of a new numerical recurrence scheme relating the internal forces and displacements at the two end-points of an increase in its centroid-line. This solution has a transfer matrix structure. Both the stiffness matrix and the equivalent load vector are obtained arranging the transfer matrix. New structural matrices have been defined, which permit to determine directly the unknown values of internal forces and displacements at the two supported ends of the curved-beam element. Examples are included for verification.

Dynamic Response Analysis of 2.5MW Wind Turbine Gearbox with Flexible Pins (유연핀을 적용한 2.5MW급 풍력발전기용 기어박스의 동응답 해석)

  • Cho, Jin-Rae;Jeong, Ki-Yong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.1
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    • pp.37-44
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    • 2016
  • This study is concerned with the numerical investigation of dynamic characteristics of 2.5MW-class wind turbine gearbox in which the misalignment improvement of plenary gear shafts by the flexible pins and the dynamic impact response are analyzed by the finite element method. The tooth contact between gears is modelled using the line element having the equivalent tooth stiffness and the contact ratio to accurately and effectively reflect the load transmission in the internal complex gear system. The equivalent tooth stiffness is calculated by utilizing the tooth deformation analysis and the impulse torque is applied to the input shaft for the dynamics response characteristic analysis. Through the numerical experiments, the equivalent tooth stiffness model was validated and the misalignment improvement of planetary gear shafts was confirmed from the comparison with the cases of fixed shafts at one and both ends.

New Equivalent Static Analysis Method of Dynamic Behavior during Progressive Collapse (연쇄붕괴의 동적거동을 고려한 새로운 등가정적해석 기법)

  • Kim, Chee-Kyeong;Lee, Jae-Cheol
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.239-246
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    • 2007
  • In this paper a new equivalent static analysis method of dynamic behavior during progressive collapse is presented. The proposed analysis method uses the equivalent nodal load for the element stiffness which represents the dynamic behavior influence caused by the deletion of elements during progressive collapse analysis. The proposed analysis method improves the efficiency of progressive collapse analysis haying the iterative characteristic because the inverse of the structural stiffness matrix is roused in the reanalysis. By comparing the results obtained by this analysis method with those of GSA code analysis and time history analysis, it is shown that the results obtained by this analysis method more closely approach to those of time history analysis than by GSA code analysis.

A topological optimization method for flexible multi-body dynamic system using epsilon algorithm

  • Yang, Zhi-Jun;Chen, Xin;Kelly, Robert
    • Structural Engineering and Mechanics
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    • v.37 no.5
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    • pp.475-487
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    • 2011
  • In a flexible multi-body dynamic system the typical topological optimization method for structures cannot be directly applied, as the stiffness varies with position. In this paper, the topological optimization of the flexible multi-body dynamic system is converted into structural optimization using the equivalent static load method. First, the actual boundary conditions of the control system and the approximate stiffness curve of the mechanism are obtained from a flexible multi-body dynamical simulation. Second, the finite element models are built using the absolute nodal coordination for different positions according to the stiffness curve. For efficiency, the static reanalysis method is utilized to solve these finite element equilibrium equations. Specifically, the finite element equilibrium equations of key points in the stiffness curve are fully solved as the initial solution, and the following equilibrium equations are solved using a reanalysis method with an error controlled epsilon algorithm. In order to identify the efficiency of the elements, a non-dimensional measurement is introduced. Finally, an improved evolutional structural optimization (ESO) method is used to solve the optimization problem. The presented method is applied to the optimal design of a die bonder. The numerical results show that the presented method is practical and efficient when optimizing the design of the mechanism.

Stress Analysis on a Structure of Solar Tracker Subjected to Wind Load (풍하중을 받는 태양광 추적 구조물의 응력해석)

  • Kim, Yong-Woo;Kim, Won-Bong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.21 no.5
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    • pp.747-754
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    • 2012
  • A solar power generator is usually installed outdoors and it is exposed to extreme environments such as snow weight and wind loading. The solar tracker structure should be designed to have sufficient stiffness and strength against such loads. In this paper, simulations are performed by varying the parameters such as wind directions, wind speeds and the pose of the solar panel to evaluate the effects of extreme wind on solar tracker. As the effects of wind load, maximum displacement and maximum equivalent stress in the solar tracker are calculated. Finite element stress analysis is carried out by using the pressure distribution that is obtained by prior wind load analysis due to the flow around the solar tracker. The stress analysis of solar tracker to check and/or improve structural robustness provides some useful instructions for structural design or revision of solar tracker.

Efficient Methods of Prediction Incorporating Equivalent Models for Elasto-Plastic Bending Behavior of Metallic Sandwich Plates with Inner Dimpled Shell Structure (등가형상을 이용한 딤플형 금속 샌드위치 판재의 효율적 굽힘 거동 예측)

  • Seong D. Y.;Jung C. G.;Yoon S. J.;Yang D. Y.
    • Transactions of Materials Processing
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    • v.14 no.8 s.80
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    • pp.718-724
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    • 2005
  • An efficient finite element method has been introduced for analysis of metallic sandwich plates subject to bending moment. A full model 3-point bending FE-analysis shows that the plastic behavior of inner structures appears only at the load point. The unit structures of sandwich plates are defined to numerically calculate the bending stiffness and strength utilizing the recurrent boundary condition for pure bending analysis. The equivalent models with the same bending stiffness and strength of full models are then designed analytically. It is demonstrated that the results of both models are almost the same and the FE-analysis method incorporating the equivalent models can reduce the computation time effectively. The dominant collapse modes are face buckling and face yielding. Since the inner dimpled structures prevent face buckling, sandwich plates with inner dimpled shell structure can absorb more energy than other types of sandwich plates during the bending behavior.

Large deflection analysis of laminated composite plates using layerwise displacement model

  • Cetkovic, M.;Vuksanovic, Dj.
    • Structural Engineering and Mechanics
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    • v.40 no.2
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    • pp.257-277
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    • 2011
  • In this paper the geometrically nonlinear continuum plate finite element model, hitherto not reported in the literature, is developed using the total Lagrange formulation. With the layerwise displacement field of Reddy, nonlinear Green-Lagrange small strain large displacements relations (in the von Karman sense) and linear elastic orthotropic material properties for each lamina, the 3D elasticity equations are reduced to 2D problem and the nonlinear equilibrium integral form is obtained. By performing the linearization on nonlinear integral form and then the discretization on linearized integral form, tangent stiffness matrix is obtained with less manipulation and in more consistent form, compared to the one obtained using laminated element approach. Symmetric tangent stiffness matrixes, together with internal force vector are then utilized in Newton Raphson's method for the numerical solution of nonlinear incremental finite element equilibrium equations. Despite of its complex layer dependent numerical nature, the present model has no shear locking problems, compared to ESL (Equivalent Single Layer) models, or aspect ratio problems, as the 3D finite element may have when analyzing thin plate behavior. The originally coded MATLAB computer program for the finite element solution is used to verify the accuracy of the numerical model, by calculating nonlinear response of plates with different mechanical properties, which are isotropic, orthotropic and anisotropic (cross ply and angle ply), different plate thickness, different boundary conditions and different load direction (unloading/loading). The obtained results are compared with available results from the literature and the linear solutions from the author's previous papers.