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Jong‐Shyong Wu, Lieh-Kwang Chiang (2003)
Free vibration analysis of arches using curved beam elementsInternational Journal for Numerical Methods in Engineering, 58
H. Sugiyama, H. Koyama, Hiroki Yamashita (2010)
Gradient Deficient Curved Beam Element Using the Absolute Nodal Coordinate FormulationJournal of Computational and Nonlinear Dynamics, 5
Jong‐Shyong Wu, Lieh-Kwang Chiang (2004)
Free vibration of a circularly curved Timoshenko beam normal to its initial plane using finite curved beam elementsComputers & Structures, 82
M. Ganapathi, B. Patel, J. Saravanan, M. Touratier (1999)
Shear flexible curved spline beam element for static analysisFinite Elements in Analysis and Design, 32
Z. Friedman, J. Kosmatka (1998)
An accurate two-node finite element for shear deformable curved beamsInternational Journal for Numerical Methods in Engineering, 41
Z.Y. Liu (2008)
Study on modeling theory and simulation technique for rigid-flexible coupling system dynamics
A. Leung, B. Zhu (2004)
Fourier p-elements for curved beam vibrationsThin-walled Structures, 42
Jinyang Liu, Jia-zhen Hong, Lin Cui (2007)
An exact nonlinear hybrid-coordinate formulation for flexible multibody systemsActa Mechanica Sinica, 23
P. Raveendranath, G. Singh, B. Pradhan (2000)
Free vibration of arches using a curved beam element based on a coupled polynomial displacement fieldComputers & Structures, 78
A. Shabana, A. Mikkola (2003)
Use of the Finite Element Absolute Nodal Coordinate Formulation in Modeling Slope DiscontinuityJournal of Mechanical Design, 125
H. Saffari, R. Tabatabaei, S. Mansouri (2008)
Vibration Analysis of Circular Arch Element Using CurvatureShock and Vibration, 15
G. Heppler, J. Hansen (1986)
A Mindlin element for thick and deep shellsApplied Mechanics and Engineering, 54
H. Yang (2002)
Study on dynamic modeling theory and experiments for rigid-flexible coupling systems
S.-Y. Yang, H. Sin (1995)
CURVATURE-BASED BEAM ELEMENTS FOR THE ANALYSIS OF TIMOSHENKO AND SHEAR-DEFORMABLE CURVED BEAMSJournal of Sound and Vibration, 187
P. Raveendranath, G. Singh, G. Rao (2001)
A three‐noded shear‐flexible curved beam element based on coupled displacement field interpolationsInternational Journal for Numerical Methods in Engineering, 51
Jaeheung Park, J.-H. Kim (1999)
Dynamic Analysis of Rotating Curved Beam with a Tip MassJournal of Sound and Vibration, 228
J. Liu, J. Hong (2004)
Geometric stiffening effect on rigid-flexible coupling dynamics of an elastic beamJournal of Sound and Vibration, 278
Jin-Gon Kim, Y. Park (2006)
Hybrid‐mixed curved beam elements with increased degrees of freedom for static and vibration analysesInternational Journal for Numerical Methods in Engineering, 68
Z. Hai (2003)
Dynamic Model of Flexible Spatial Camber Beam with Uncertainty ParametersJournal of Tianjin University
B. Li J.Y. Liu (2007)
Rigid flexible coupling dynamics of curvic beam considering thermal strainActa Mechanica Solida Sinica, 28
Abstract Instead of using the previous straight beam element to approximate the curved beam, in this paper, a curvilinear coordinate is employed to describe the deformations, and a new curved beam element is proposed to model the curved beam. Based on exact nonlinear strain-displacement relation, virtual work principle is used to derive dynamic equations for a rotating curved beam, with the effects of axial extensibility, shear deformation and rotary inertia taken into account. The constant matrices are solved numerically utilizing the Gauss quadrature integration method. Newmark and Newton-Raphson iteration methods are adopted to solve the differential equations of the rigid-flexible coupling system. The present results are compared with those obtained by commercial programs to validate the present finite method. In order to further illustrate the convergence and efficiency characteristics of the present modeling and computation formulation, comparison of the results of the present formulation with those of the ADAMS software are made. Furthermore, the present results obtained from linear formulation are compared with those from nonlinear formulation, and the special dynamic characteristics of the curved beam are concluded by comparison with those of the straight beam.
"Acta Mechanica Sinica" – Springer Journals
Published: Dec 1, 2011
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