Analytical approach for transverse vibration analysis of castellated beams

This paper presents an analytical study on the dynamic characteristics of castellated beams. The study focuses on the effect of web shear on the free vibration frequencies of castellated beams. By using the Hamilton's principle, a simple closed-form solution for determining the free vibration frequencies of simply supported castellated beams is developed. The results show that the shear effect on the free vibration frequencies increases with the cross-sectional area and distance between the centroids of the two tee sections of castellated beams, but decreases with respect to increasing web thickness or increasing beam length. The shear effect is also found to be greater in higher vibration modes.

[1]  Abdolreza Ohadi,et al.  A numerical study of free and forced vibration of composite sandwich beam with viscoelastic core , 2010 .

[2]  S. Rajasekaran.  Free vibration of centrifugally stiffened axially functionally graded tapered Timoshenko beams using differential transformation and quadrature methods , 2013 .

[3]  Huu-Tai Thai,et al.  Free vibration of axially loaded rectangular composite beams using refined shear deformation theory , 2012 .

[4]  Jun Li,et al.  Free vibration of axially loaded composite beams with general boundary conditions using hyperbolic shear deformation theory , 2013 .

[5]  Amin Mohebkhah,et al.  Bracing requirements for inelastic castellated beams , 2005 .

[6]  Zhiwu Yu,et al.  Free vibration of shear beams with finite rotational inertia , 2011 .

[7]  Ehab Ellobody,et al.  Interaction of buckling modes in castellated steel beams , 2011 .

[8]  Abdelhamid Bouchaïr,et al.  Nonlinear FE analysis of the ultimate behavior of steel castellated beams , 2012 .

[9]  Amin Mohebkhah.  The moment-gradient factor in lateral- torsional buckling on inelastic castellated beams , 2004 .

[10]  Tohid Ghanbari Ghazijahani,et al.  Experiments on elastically braced castellated beams , 2012 .

[11]  David A. Nethercot,et al.  Failure modes for castellated beams , 1984 .

[12]  Amr M.I. Sweedan,et al.  Major-axis elastic buckling of axially loaded castellated steel columns , 2009 .

[13]  Reza Attarnejad,et al.  Assessment of load carrying capacity of castellated steel beams by neural networks , 2011 .

[14]  Li Ma,et al.  Free vibration analysis of simply supported sandwich beams with lattice truss core , 2012 .

[15]  Jong-Shyong Wu,et al.  Free vibration of axial-loaded multi-step Timoshenko beam carrying arbitrary concentrated elements using continuous-mass transfer matrix method , 2013 .

[16]  Keivan Torabi,et al.  An analytical method for free vibration analysis of Timoshenko beam theory applied to cracked nanobeams using a nonlocal elasticity model , 2012 .

[17]  S.M.R. Khalili,et al.  Free vibration analysis of sandwich beams using improved dynamic stiffness method , 2010 .

[18]  Víctor H. Cortínez,et al.  Free vibration and dynamic stability of rotating thin-walled composite beams , 2011 .

[19]  Mohammed Hjiaj,et al.  Analytical approach for free vibration analysis of two-layer Timoshenko beams with interlayer slip , 2012 .

[20]  Hossein Showkati,et al.  Distortional buckling of castellated beams , 2006 .

[21]  C. Y. Wang,et al.  Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates , 2013 .

[22]  Gholamhossein Rahimi,et al.  On the postbuckling and free vibrations of FG Timoshenko beams , 2013 .

[23]  Jie Yang,et al.  Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory , 2010 .