复杂激励下有限长薄壁圆柱壳体导纳研究

MOBILITY OF A FINITE LONG AND THIN CYLINDRICAL SHELL SUBJECTED TO COMPLEX EXCITATION

导纳是衡量结构动态特性的重要指标,任何结构的振动响应特性本质上都可以用结构表面各点的导纳来表示。从经典的薄壁壳体振动方程出发,推导出有限长薄壁圆柱壳体在复杂激励下的驱动点导纳解析表达式,并对控制壳体振动响应的潜在机理进行了研究。结果发现,耦合导纳对输入壳体的振动能量可能起着重要作用。所给出的薄壁圆柱壳体导纳公式,可直接用于薄壁壳体基础上的主被动隔振研究。

Mobility is an important concept for vibration isolation and vibration response characteristics of a structure can be represented essentially by its point mobility on its surface. The analytical expressions of the driving point mobility of a finite long and thin cylindrical shell subjected to combination of multiple excitations are derived based on classical equations of vibration. The potential mechanism governing vibration response of shells is investigated. The results show that coupled mobilities may play an important role in energy input of structure vibration. The formulae of mobilities proposed can be used directly for study on passive and active vibration isolation of supports of thin cylindrical shells.