Abstract
This paper presents nonlinear vibration analysis of a clamped-clamped beam supported by a spring. The nonlinear strain-displacement relationship is employed and the in-plane displacement in the middle plane is included in the analytical model. The equations of motion are derived by applying the principle of virtual work. FEM-based equations of a beam with geometrical nonlinearity are derived, and a reduced-order model is obtained using non-classical modal coordinates. Transforming the equations of motion into the modal coordinates is defined by the displacement vector that is calculated from the nonlinear FEM-based equations. Using the reduced-order model, influence on nonlinear vibration of a spring support is studied in detail.
