EXPERIMENTAL-VERIFICATION OF THE IMPORTANCE OF THE NONLINEAR CURVATURE IN THE RESPONSE OF A CANTILEVER BEAM

An experimental and theoretical investigation into the first- and seco nd-mode responses of a parametrically excited slender cantilever beam is presented. Inclusion of quadratic damping in the analytical model s ignificantly improves the agreement between the experimental and theor etical results. In addition, the experimental results verify that the often ignored nonlinear curvature terms play a dominant role in the re sponse of the the first mode and that the nonlinear inertia terms play a dominant role in the response of the second mode.