Vibration and lateral buckling optimisation of thin-walled laminated composite channel-section beams

Abstract This study presents vibration and lateral buckling optimisation of thin-walled laminated composite beams with channel sections. While flanges’ width, web’s height, and fibre orientation are simultaneously treated as design variables, the objective function involves maximising the fundamental frequency and critical buckling moment. Based on the classical beam theory, the beam element with seven degrees of freedom at each node is developed to solve the problem. Micro Genetic Algorithm (micro-GA) is then employed as an optimisation tool to obtain optimal results. A number of composite channel-section beams with different types of boundary conditions, span-to-height ratios, and lay-up schemes are investigated for the optimum design. The outcomes reveal that geometric parameters severely govern the optimal solution rather than the fibre orientation and it is considerably effective to use micro-GA compared with regular GA in term of optimal solution and convergence rate.

[1]  Nam-Il Kim,et al.  Optimum design of thin-walled composite beams for flexural–torsional buckling problem , 2015 .

[2]  J. T. Mottram,et al.  Lateral-torsional buckling of thin-walled composite I-beams by the finite difference method , 1992 .

[3]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[4]  Nelson R. Bauld,et al.  A Vlasov theory for fiber-reinforced beams with thin-walled open cross sections , 1984 .

[5]  Thuc P. Vo,et al.  Flexural–torsional coupled vibration and buckling of thin-walled open section composite beams using shear-deformable beam theory , 2009 .

[6]  David A. Peters,et al.  Lateral-torsional buckling of cantilevered elastically coupled composite strip- and I-beams , 2001 .

[7]  Víctor H. Cortínez,et al.  Lateral buckling of thin-walled composite bisymmetric beams with prebuckling and shear deformation , 2005 .

[8]  Thuc P. Vo,et al.  Vibration analysis of thin-walled composite beams with I-shaped cross-sections , 2011 .

[9]  Mark Walker,et al.  Multiobjective optimisation of laminated I-beams for maximum crippling, buckling and postbuckling strength , 1998 .

[10]  L. Librescu,et al.  Thin-Walled Composite Beams: Theory and Application , 2006 .

[11]  Julio F. Davalos,et al.  Multiobjective material architecture optimization of pultruded FRP I-beams , 1996 .

[12]  Jaehong Lee,et al.  Flexural–torsional coupled vibration of thin-walled composite beams with channel sections , 2002 .

[13]  P. Heyliger.  Elasticity-based free vibration of anisotropic thin-walled beams , 2015 .

[14]  L. Kollár,et al.  Mechanics of Composite Structures , 2003 .

[15]  K. Magnucki.  Optimization of open cross section of the thin-walled beam with flat web and circular flange , 2002 .

[16]  Archibald N. Sherbourne,et al.  SHEAR STRAIN EFFECTS IN LATERAL STABILITY OF THIN-WALLED FIBROUS COMPOSITE BEAMS , 1995 .

[17]  Zelda B. Zabinsky,et al.  Optimization of composite I-sections using fiber angles as design variables , 2001 .

[18]  Víctor H. Cortínez,et al.  VIBRATION AND BUCKLING OF COMPOSITE THIN-WALLED BEAMS WITH SHEAR DEFORMABILITY , 2002 .

[19]  K. Seffen,et al.  International Journal of Solids and Structures , 2015 .

[20]  Moon-Young Kim,et al.  Exact lateral buckling analysis for thin-walled composite beam under end moment , 2007 .

[21]  C. Sun,et al.  Vibration analysis of laminated composite thin-walled beams using finite elements , 1991 .

[22]  S. Rajasekaran.  Optimal laminate sequence of non-prismatic thin-walled composite spatial members of generic section , 2005 .

[23]  C. Szymczak.  Optimal design of thin-walled I beams for a given natural frequency of torsional vibrations , 1983 .

[25]  Dewey H. Hodges,et al.  Nonlinear Composite Beam Theory , 2006 .

[26]  Víctor H. Cortínez,et al.  Mechanics of shear deformable thin-walled beams made of composite materials , 2007 .

[27]  Mark V. Fulton,et al.  Free-Vibration Analysis of Composite Beams , 1991 .

[28]  S. K. Morton,et al.  Optimal design of a composite I-beam , 1994 .

[29]  Thuc P. Vo,et al.  On triply coupled vibrations of axially loaded thin-walled composite beams , 2010 .

[30]  Víctor H. Cortínez,et al.  Stability of composite thin-walled beams with shear deformability , 2006 .

[31]  D. Lanc,et al.  Global buckling analysis model for thin-walled composite laminated beam type structures , 2014 .

[32]  Seung-Eock Kim,et al.  Lateral buckling analysis of thin-walled laminated channel-section beams , 2002 .

[33]  Jaehong Lee,et al.  Free vibration of thin-walled composite beams with I-shaped cross-sections , 2002 .