Volume 29, Issue 3 No AccessRefined engineering beam theory based on the asymptotic expansion approachH. Fan and G. E. O. WideraH. Fan Northwestern University, Evanston, Illinois 60208Search for more papers by this author and G. E. O. Widera University of Illinois at Chicago, Chicago, Illinois 60680Search for more papers by this authorPublished Online:17 May 2012https://doi.org/10.2514/3.10598SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About Previous article Next article FiguresReferencesRelatedDetailsSee PDF for referencesCited byBending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literatureComposite Structures, Vol. 171On the lower-order theories of continua with application to incremental motions, stability and vibrations of rods30 November 2013 | Continuum Mechanics and Thermodynamics, Vol. 26, No. 5A hierarchy of dynamic equations for solid isotropic circular cylindersWave Motion, Vol. 51, No. 2Limit analysis of periodic beamsEuropean Journal of Mechanics - A/Solids, Vol. 28, No. 1The decomposed form and boundary conditions of elastic beams with free faces21 August 2007 | Acta Mechanica, Vol. 196, No. 3-4Geometrically Nonlinear Theory of Composite Beams with Deformable Cross Sections Rafael Palacios and Carlos E. S. Cesnik 2 May 2012 | AIAA Journal, Vol. 46, No. 2Recent General Solutions in Linear Elasticity and Their ApplicationsApplied Mechanics Reviews, Vol. 61, No. 3The decomposed form of magnetoelastic beams with free faces1 February 2007 | Acta Mechanica, Vol. 192, No. 1-4The equivalence of the refined theory and the decomposition theorem of rectangular beamsApplied Mathematical Modelling, Vol. 31, No. 3The refined theory of deep rectangular beams based on general solutions of elasticityScience in China Series G, Vol. 49, No. 3A refined beam theory based on the refined plate theory4 May 2005 | Acta Mechanica, Vol. 177, No. 1-4A non-linear rod theory for high-frequency vibrations of thermopiezoelectric materialsInternational Journal of Non-Linear Mechanics, Vol. 37, No. 2Higher-order effective modeling of periodic heterogeneous beams. I. Asymptotic expansion methodInternational Journal of Solids and Structures, Vol. 38, No. 40-41A Review of Refined Shear Deformation Theories for Isotropic and Anisotropic Laminated Beams18 August 2016 | Journal of Reinforced Plastics and Composites, Vol. 20, No. 3Numerical Algorithms for Dynamics of Thermopiezoceramic Bars22 November 2006 | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 77, No. 6Improved engineering theory for uniform beamsActa Mechanica, Vol. 114, No. 1-4Nonlinear static and dynamic analysis method of cable structures J. Mitsugi and T. Yasaka 17 May 2012 | AIAA Journal, Vol. 30, No. 12 What's Popular Volume 29, Number 3March 1991 Metrics Crossmark TopicsDeformationMaterial PropertiesMaterials and Structural MechanicsMechanical and Structural VibrationsMechanical PropertiesSolid MechanicsStress-Strain AnalysisStructural AnalysisStructural EngineeringStructural MechanicsStructures, Design and Test KeywordsBernoulli Euler Beam TheoryPoisson's RatioTransverse ShearShear DeformationLinear ElasticityBoundary Value ProblemsFree VibrationsDigital Published online17 May 2012