• Title/Summary/Keyword: Thin-walled Beams

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Flexural-torsional Vibration Analysis of Thin-walled C-Section Composite Beams (박벽 C형 복합재료 보의 휨-비틀림 진동 해석)

  • Kim, Young Bin;Lee, Jae Hong
    • Journal of Korean Society of Steel Construction
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    • v.14 no.1
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    • pp.31-40
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    • 2002
  • Free vibration of a thin-walled laminated composite beam is studied. A general analytical model applicable to the dynamic behavior of a thin-walled channel section composite is developed. This model is based on the classical lamination theory, and accounts for the coupling of flexural and torsional modes for arbitrary laminate stacking sequence configuration. i.e. unsymmetric as well as symmetric, and various boundary conditions. A displacement-based one-dimensional finite element model is developed to predict natural frequencies and corresponding vibration modes for a thin-walled composite beam. Equations of motion are derived from the Hamilton's principle. Numerical results are obtained for thin-walled composite addressing the effects of fiber angle. modulus ratio. and boundary conditions on the vibration frequencies and mode shapes of the composites.

Dynamic Mode Analysis of Thin Walled Closed Section Beams under Warping Conditions (Warping 조건하에서 박판 폐단면 보의 동적 모드 해석)

  • Yu, Hwan-Shin;Chun, Dong-Joon
    • Journal of Advanced Navigation Technology
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    • v.16 no.2
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    • pp.367-374
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    • 2012
  • A dynamic simulation and test of frame with thin walled closed section beams considering warping conditions have been performed. When a beam is subjected under torsional moment, the cross section will deform an warping as well as twist. For some thin-walled sections warping will be large, and accompanying warping restraint will induce axial and shear stresses and reduce the twist of beam which stiffens the beam in torsion. This paper presents that an warping restraint factor in finite element model effects the behavior of beam deformation and dynamic mode shape. The computer modelling of frame is discussed in linear beam element model and linear thin shell element model, also presents a correlation between computer predicted and actual experimental results for static deflection, natural frequencies and mode shapes of frame.

Exact Dynamic Element Stiffness Matrices of Shear Deformable Nonsymmetric Thin-walled Beam-Columns (전단변형을 받는 비대칭 박벽 보-기둥 요소의 엄밀한 동적강도행렬)

  • Yoon Hee-Taek;Park Young-Kon;Kim Yong-Ki
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.536-543
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    • 2005
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using element force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

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Vibration Control of Composite Thin-Walled Beams with a Tip Mass Via Fuzzy Algorithm and Piezoelectric Sensor and Actuator (끝단 질량을 가진 복합재료 박판 보의 퍼지기법과 압전 감지기/작동기를 이용한 진동제어)

  • 이윤규;강호식;송오섭
    • Composites Research
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    • v.17 no.5
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    • pp.7-14
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    • 2004
  • This paper deals with adaptive fuzzy logic controller design to achieve proper dynamic response of a composite thin-walled beam with a tip mass. In order to check the effectiveness of this controller, three different types of control logic are selected and applied. The adaptive control capabilities provided by a system of piezoactuators bonded or embedded into the structure are also implemented in the system. Results show that the fuzzy logic controller is more effective than the proportional or velocity feedback controller for the vibration control of composite thin-walled beam with a tip mass.

Vibration Control of Composite Thin-Walled Beams with a Tip Mass Via Fuzzy logic and Piezoelectric Sensors and Actuator (끝단 질량을 가진 복합재료 얇은 벽보의 퍼지이론과 압전 감지기/작동기를 이용한 진동제어)

  • 이윤규;송오섭;민준식;강호식;정남희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.950-957
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    • 2003
  • This paper deals with adaptive fuzzy logic controller design to achieve proper dynamic response of a composite thin-walled beam with a tip mass. In order to check the effectiveness of this controller, three different types of control logic are selected and applied. The adaptive control capabilities provided by a system of piezoactuators bonded or embedded into the structure are also implemented in the system. Results show that the fuzzy logic controller is more effective than the proportional or velocity feedback controller for the vibration control of composit thin-walled beam with a tip mass.

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Spatial Free Vibration and Stability Analysis of Thin-Walled Curved Beams with Variable Curvatures (곡률이 변하는 박벽 곡선보의 3차원 자유진동 및 좌굴해석)

  • 서광진;민병철;김문영
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.3
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    • pp.321-328
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    • 2000
  • An improved formulation of thin-wailed curved beams with variable curvatures based on displacement field considering the second order terms of finite semitangential rotations is presented. From linearized virtual work principle by Vlasov's assumptions, the total potential energy is derived and all displacement parameters and the warping functions are defined at cendtroid axis. In developing the thin-walled curved beam element having eight degrees of freedom per a node, the cubic Hermitian polynomials are used as shape functions. In order to verify the accuracy and practical usefulness of this study, free vibrations and buckling analyses of parabolic and elliptic arche shapes with mono-symmetric sections are carried out and compared with the results analyzed by ABAQUS' shell element.

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A Study on the Calculation of Stiffness Properties for Composite Box-Beams with Elastic Couplings (구조연성을 고려한 복합재료 상자형 보의 강성계수 예측에 관한 연구)

  • 정성남;동경민
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.147-150
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    • 2001
  • In the present work, a linear static analysis is presented for thin-walled prismatic box-beams made of generally anisotropic materials. A mixed beam theory has been used to model and carry out the analysis. Three different constitutive relations are assessed into the beam formulation. Simple layup cases having symmetric or anti-symmetric configuration have been chosen and tested to clearly show the effects of elastic couplings of the beam. Both 2D and 3D finite element structural analysis using the MSC/NASTRAN has been performed to validate the current analytical results. Results show that appropriate assumptions for the constitutive equations are important and prerequisite for the accurate prediction of beam stiffness constants and also for the beam behavior.

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Dynamic Response Analysis of Composite H-type Cross-section Beams (복합재료 H-형 단면 보의 동적응답 해석)

  • Kim, Sung-Kyun;Song, Oh-Seop
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.6
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    • pp.583-592
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    • 2010
  • Equations of motion of thin-walled composite H-type cross-section beams exposed to concentrated harmonic and non-harmonic time-dependent external excitations, incorporating a number of nonclassical effects of transverse shear, primary and secondary warping, and anisotropy of constituent materials are derived. The forced vibration response characteristics of a composite H-type cross-section beam exhibiting the circumferentially asymmetric stiffness(CAS) configuration are exploited in connection with the structural bending-torsion coupling resulting from directional properties of fiber reinforced composite materials.

Thin-walled composite steel-concrete beams subjected to skew bending and torsion

  • Giussani, Francesca;Mola, Franco
    • Steel and Composite Structures
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    • v.9 no.3
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    • pp.275-301
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    • 2009
  • The long-term behaviour of simply supported composite steel-concrete beams with deformable connectors subjected to skew bending and torsion is presented. The problem is dealt with by recurring to the displacement method, assuming the bending and torsional curvatures and the longitudinal deformations of each sectional part as unknowns and obtaining a system of differential and integro-differential equations. Some solving methods are presented, in order to obtain exact and approximate solutions and evaluate the precision of the approximate ones. A case study is then presented. For the sake of clearness, the responses of the composite beam under loads applied in different directions are studied separately, in order to correctly evaluate the effects of each load condition.

Buckling Analysis of Thin-Walled Laminated Composite I-Beams Including Shear Deformation (전단변형을 고려한 적층복합 I형 박벽보의 좌굴해석)

  • Back, Sung Yong;Lee, Seung Sik;Park, Yong Myung
    • Journal of Korean Society of Steel Construction
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    • v.18 no.5
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    • pp.575-584
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    • 2006
  • In this paper, a shear-flexible finite element model is developed for the buckling analysis of axially loaded, thin-walled composite I-beams. Based on an orthogonal Cartesian coordinate system, the displacement fields are defined using the first-order shear-deformable beam theory. The derived element takes into account flexural shear deformation and torsional warping deformation. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements, were developed to solve the governing equations. An inverse iteration with shift eigenvalue solution was used to solve the resulting linearized buckling problem. A parametric study was conducted to show the importance of shear flexibility and fiber orientation on the buckling behavior of thin-walled composite beams. A good agreement was obtained among the proposed shear-flexible model, other results available in literature, and the finite element solution.