带有弹簧-质量-圆柱壳耦合结构自由振动分析

采用子结构导纳法研究了简支边界条件下带有多根弹簧-集中质量-圆柱壳耦合结构的自由振动。根据已有结果，通过求解多根弹簧等效刚度的推导思路，采用柔度法得到各子结构矩阵元素的柔度系数，进而求得集中质量带有多根弹簧的圆柱壳耦合结构自振频率及模态理论公式，并与已有文献结果作对比，证明了本文理论推导的正确性。应用本文理论方法进一步求解了集中质量带有三根弹簧圆柱壳耦合结构的自振频率及振型，并与建立的ANSYS有限元模型分析结果作对比，二者结果误差很小，可以忽略，再次验证本文理论的合理性及正确性。

Free vibration analysis of coupled cylindrical shells with springs-lumped mass

The free vibration of coupled cylindrical shell with a plurality of springs-lumped mass for simply supported boundary condition is investigated by substructure receptance method. The coefficients of matrix elements of sub-structures and theory formulas of natural frequencies and modals for coupled cylindrical shell are obtained via receptance method, and are compared with those of other literatures to confirm the validity of the theories in this paper, according to existing results and derivation for equivalent stiffness of springs. The numerical results, for natural frequencies and modals of coupled cylindrical shell with three springs-lumped mass, obtained from the present method are compared with those from the finite element software ANSYS to confirm the reasonability and accuracy of the theories again due to error ignored.