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Complex dynamics of circular cylindrical shells

机译：圆柱壳的复杂动力学

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Complex dynamics of circular cylindrical shells subjected to inertial axial loads are investigated. The shell is vertically mounted on a shaker, i.e. its base is clamped to the shaker fixture, which induces a vertical motion along the shell axis. On the top of the shell a rigid disk is mounted, the vertical motion induced by the shaker induces huge inertial forces due to the rigid body motion. A complicating effect is due to the base actuator, which is an electro-dynamic shaking table; the interaction between the shell and shaker dynamics changes dramatically the system behaviour. The non-linear Sanders-Koiter theory is considered for the structural dynamics: the resulting set of non-linear partial differential equations is coupled with the linear ordinary differential equations that govern the shaker dynamics. A deep analysis of the non-stationary response of the shell is carried out in order to clarify the transition from stationary to non-stationary response. The model is validated by means of experimental results.
机译：研究了承受惯性轴向载荷的圆柱壳的复杂动力学。壳体垂直安装在振动筛上，即，其基座固定在振动筛固定装置上，从而引起沿壳体轴的垂直运动。在壳体的顶部安装了一个刚性磁盘，由于刚性运动，振动器引起的垂直运动会产生巨大的惯性力。复杂的效果归因于基本致动器，它是电动振动台。壳体和振动筛动力学之间的相互作用极大地改变了系统的性能。对于结构动力学，考虑了非线性Sanders-Koiter理论：非线性偏微分方程的结果集与控制振动器动力学的线性常微分方程耦合。对壳体的非平稳响应进行了深入分析，以阐明从平稳响应到非平稳响应的过渡。通过实验结果验证了该模型。

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