Some implications of warping restraint on the behavior of composite anisotropic beams

Nomenclature ai = chordwise integrals CQ, CQ = affine space half-chord and chord, respectively Dtj = elastic constants e = parameter that measures the location of the reference axis relative to midchord h = wing box depth (/*0,a?0) = affine space bending and torsional displacement, respectively (Q = affine space half-span for the wing L0,M0 = affine space running aerodynamic lift and moment, respectively mQ — affine space mass per unit span r,Ll9L2,D*,D% = generic nondimensionalized stiffness parameters U9 U0 = virtual work expressions in physical and affine space, respectively w = displacement (x,y,z), (x0,y0,z0) = physical and affine space coordinates, respectively (Ap, Ap0) = differential aerodynamic pressure distriutions in physical and affine space, respectively p.Poo = affine space material and air density, respectively co = vibration frequency