NONLINEAR FREE VIBRATIONS OF SHEAR DEFORMABLE BEAMS WITH AXIALLY MOVABLE BOUNDARY CONDITIONS
Stefano Lenci1; Francesco Clementi1; Giuseppe Rega2
1 Polytechnic University of Marche; 2 Sapienza University of Rome
Resumo
The nonlinear free oscillations of a planar Timoshenko beam with axially movable boundary conditions are studied, by adding an axial spring at one hand in order to simulate the effect of an elastic constraint with stiffness κ. Since the exact solution is not available, two different approximate solutions are compared (analytical and numerical). The comparison is made in terms of backbone curves for both solutions. Attention is focused on the effect of the beam slenderness, by considering both slender and stubby beams, and on the effect of the ending spring stiffness κ, with values 0≤κ ≤∞. A very good agreement between the two solutions is highlighted, together with their reliability.
Palavras-chave: Analysis and Control of Nonlinear Dynamical Systems with Practical Applications; Nonlinear Dynamics and Complex Systems; Nonlinear Dynamics of Systems with Infinite Dimension; Nonlinear Oscillations; Backbone Curve