International Conference on Engineering Vibration, Sofia, Bulgaria, International Conference on Engineering Vibration 2017

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NONLINEAR DYNAMICS OF A PLANAR HINGED-SUPPORTED BEAM WITH ONE END SPRING SYSTEM
Łukasz Kłoda, Stefano Lenci, Jerzy Warmiński

Last modified: 2017-11-09

Abstract


Dynamics of a system composed of an initially straight, planar, linearly elastic hinged-supported beam and (initially) a coaxial spring attached to a supported section is studied in the paper (Fig. 1). The beam model considers coupled axial-transversal displacements of its axis, furthermore rotatory inertia and shear deformation are included [1,2]. The structure is excited by periodic load uniformly distributed in X (transversal) and Z (longitudinal) directions. Partial differential equations of motion, which include external loads and assumed linear viscous damping, are applied to method of multiple scales [3]. The developed model allowed to study resonance response waves for a wide spectrum of beam slenderness and spring stiffness ( varying from 0 to ∞). In particular cases the coupled internal sub-resonances cured. Numerical computations by finite element method (commercial software Abaqus CAE) are compared with selected experimental tests. In numerical simulations composite material is considered, too.