Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion

摘要: Abstract This paper is divided into two parts. The authors’ purpose in Part I to formulate a set of mathematically consistent governing differential equations motion describing the nonplanar, nonlinear dynamics an inextensional beam. beam assumed undergo flexure about principal axes and torsion. are developed with objective retaining contributions due curvature as well inertia. A priori ordering assumptions avoided much possible process. expanded contain nonlinearities up order three facilitate comparison analogous literature, render them amenable study moderately large amplitude flexural-torsional oscillations by perturbation techniques. utilization order-three analysis subject II.