Nonlinear analysis of a cantilever beam

The Genera! Rotorcraft Aeromechanical Stability Program (GRASP) was developed to analyze the steady-state and linearized dynamic behavior of rotorcraft in hovering and axial flight conditions. Because of the nature of problems GRASP was created to solve, the geometrically nonlinear behavior of beams is one area in which the program must perform well in order to be of any value. Numerical results obtained from GRASP are compared to both static and dynamic experimental data obtained for a cantilever beam undergoing large displacements and rotations caused by deformation. The correlation is excellent in all cases.

[1]  Dewey H. Hodges,et al.  Analysis of structures with rotating, flexible substructures appliedto rotorcraft aeroelasticity in GRASP , 1987 .

[2]  P. Likins,et al.  Analysis of structures with rotating, flexible substructures , 1987 .

[3]  Dewey H. Hodges,et al.  Introduction to GRASP - General rotorcraft aeromechanical stability program - A modern approach to rotorcraft modeling , 1987 .

[4]  Earl H. Dowell,et al.  Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades , 1974 .

[5]  Harry H. West,et al.  Analysis of structures , 1988 .

[6]  Earl H. Dowell,et al.  An experimental-theoretical correlation study of non-linear bending and torsion deformations of a cantilever beam☆ , 1977 .

[7]  Dewey H. Hodges,et al.  Analysis of structures with rotating, flexible substructures applied to rotorcraft aeroelasticity in GRASP. [General Rotorcraft Aeromechanical Stability Program] , 1989 .

[8]  J. J. Traybar,et al.  An Experimental Study of the Nonlinear Stiffness of a Rotor Blade Undergoing Flap, Lag and Twist Deformations , 1975 .

[9]  Dewey H. Hodges,et al.  Nonlinear equations for dynamics of pretwisted beams undergoing small strains and large rotations , 1985 .

[10]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .

[11]  Dewey H. Hodges,et al.  Modelling aeroelastic phenomena: Analytical modeling of helicopter static and dynamic induced velocity in grasp , 1988 .

[12]  P. Friedmann,et al.  The Nonlinear Behavior of Elastic Slender Straight Beams Undergoing Small Strains and Moderate Rotations , 1979 .