Study on the Out-of-Plane Stability of Bending Beam under Non-conservative Force

The out-of-plane stability of bending beam, which is made up with 2 beams and under non-conservative force, is studied. Bending deflection and tensional deformation differential equation of each beam is established in critical condition. According to compatibility conditions of deformation, the characteristic equation is obtained to calculate out-of-plane stability of the cantilever bending beam. The stability of upwards-bent and downwards-bent beam under non-conservative force is discussed in detail, also the effect of non-conservation force on the stability is studied. The result indicates that the out-of-plane stability improved greatly while considering the effect of non-conservation force.