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中文摘要：
提供了弹簧连接的锥形杆结构撞击问题的解析解。振动过程中把杆和质点作为整体考虑，采用无量纲变量，从而简化方程模型。算例说明了锥形杆中波传播情况和撞击端的响应，并且讨论了若干参数，如系统质量参数和锥形杆截面倾角对波传播的影响。解决含弹簧连接的锥形杆结构的纵向撞击问题，并且与等截面杆相应的纵向撞击问题进行了比较。
英文摘要：
Analytical solutions for the impact problems of conical rod structures with supporting spring are provided. The target rod and the impactor are considered as a integrated system during the vibration. The nondimensional variables are defined to simplify the mathematical model. The wave propagation and impacted end responses of the conical rod are analyzed with illustrative examples. The effects of mass parameter and inclination of the conical rod on the wave propagation are also discussed. The longitudinal impact solutions of conical rod structures linked with a spring are presented and the results are compared with the corresponding results of uniform rod structures.
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