GEBT: A general-purpose nonlinear analysis tool for composite beams

Abstract Geometrically Exact Beam Theory (GEBT), a general-purpose tool for nonlinear analysis of composite slender structures, is developed to meet the design challenges associated with future engineering systems featuring highly-flexible slender structures made of composites. GEBT is based on the mixed formulation of the geometric exact beam theory which can capture all geometric nonlinearities due to large deflections and rotations, subject to the strains being small. Coupled with Variational Beam Sectional Analysis (VABS), a general-purpose cross-sectional analysis, GEBT can effectively analyze geometric nonlinear behavior of slender structures having arbitrary cross-sections made of arbitrary materials.

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

[2]  O. Bauchau.  Computational Schemes for Flexible, Nonlinear Multi-Body Systems , 1998 .

[3]  Thuc P. Vo,et al.  On sixfold coupled vibrations of thin-walled composite box beams , 2009 .

[4]  D. Hodges,et al.  Fundamentals of Structural Stability , 2006 .

[5]  Jaehong Lee,et al.  On sixfold coupled buckling of thin-walled composite beams , 2009 .

[6]  D. Hodges.  A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams , 1990 .

[7]  Dewey H. Hodges,et al.  Nonlinear Beam Kinematics by Decomposition of the Rotation Tensor , 1987 .

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

[9]  Ramesh Chandra,et al.  The Natural Frequencies of Rotating Composite Beams with Tip Sweep , 1996 .

[10]  Wenbin Yu,et al.  Variational asymptotic modeling of composite dimensionally reducible structures , 2002 .

[11]  V. Berdichevskiĭ.  Variational-asymptotic method of constructing a theory of shells , 1979 .

[12]  M. Seetharama Bhat,et al.  A new super convergent thin walled composite beam element for analysis of box beam structures , 2004 .

[13]  P. Cunniff,et al.  The Vibration of Cantilever Beams of Fiber Reinforced Material , 1972 .

[14]  Carlos E. S. Cesnik,et al.  On Timoshenko-like modeling of initially curved and twisted composite beams , 2002 .

[15]  Thuc P. Vo,et al.  Free vibration of axially loaded thin-walled composite box beams , 2009 .

[16]  Dewey H. Hodges,et al.  Flight Dynamics of Highly Flexible Aircraft , 2008 .

[17]  Carlos E. S. Cesnik,et al.  Finite element solution of nonlinear intrinsic equations for curved composite beams , 1995 .

[18]  Nicholas S. Green,et al.  Structural Optimization of Joined-Wing Beam Model with Bend-Twist Coupling Using Equivalent Static Loads , 2012 .

[19]  Dewey H. Hodges,et al.  Generalized Timoshenko Theory of the Variational Asymptotic Beam Sectional Analysis , 2005 .

[20]  Carlos E. S. Cesnik,et al.  Limit-cycle oscillations in high-aspect-ratio wings , 2002 .

[21]  Inderjit Chopra,et al.  Refined Structural Dynamics Model for Composite Rotor Blades , 2001 .

[22]  Wenbin Yu,et al.  Efficient High-Fidelity Simulation of Multibody Systems with Composite Dimensionally Reducible Components , 2007 .