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  • Dynamic analysis of geometrically non-linear three-dimensional beams under moving mass
    Zupan, Dejan, mehanik ; Zupan, Eva
    In this paper, we present a coupled dynamic analysis of a moving particle on a deformable three-dimensional frame. The presented numerical model is capable of considering arbitrary curved and twisted ... initial geometry of the beam and takes into account geometric nonlinearity of the structure. Coupled with dynamic equations of the structure, the equations of moving particle are solved. The moving particle represents the dynamic load and varies the mass distribution of the structure and at the same time its path is adapting due to deformability of the structure. A coupled geometrically non-linear behaviour of beam and particle is studied. The equation of motion of the particle is added to the system of the beam dynamic equations and an additional unknown representing the coordinate of the curvilinear path of the particle is introduced. The speciallyIn this paper, we present a coupled dynamic analysis of a moving particle on a deformable three-dimensional frame. The presented numerical model is capable of considering arbitrary curved and twisted initial geometry of the beam and takes into account geometric nonlinearity of the structure. Coupled with dynamic equations of the structure, the equations of moving particle are solved. The moving particle represents the dynamic load and varies the mass distribution of the structure and at the same time its path is adapting due to deformability of the structure. A coupled geometrically non-linear behaviour of beam and particle is studied. The equation of motion of the particle is added to the system of the beam dynamic equations and an additional unknown representing the coordinate of the curvilinear path of the particle is introduced. The specially designed finite-element formulation of the threedimensional beambased on the weak formof consistency conditions is employed where only the boundary conditions are affected by the contact forces. designed finite-element formulation of the threedimensional beambased on the weak formof consistency conditions is employed where only the boundary conditions are affected by the contact forces.
    Source: Journal of sound and vibration. - ISSN 0022-460X (Vol. 413, 2018, str. 354-367)
    Type of material - article, component part
    Publish date - 2018
    Language - english
    COBISS.SI-ID - 8198753

    Link(s):

    https://www.sciencedirect.com/science/article/pii/S0022460X17307277
    DOI

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