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连接阻尼对弹性杆纵向碰撞响应的影响

焦晓娟 马建敏

焦晓娟, 马建敏. 连接阻尼对弹性杆纵向碰撞响应的影响[J]. 应用数学和力学, 2015, 36(4): 393-403. doi: 10.3879/j.issn.1000-0887.2015.04.007
引用本文: 焦晓娟, 马建敏. 连接阻尼对弹性杆纵向碰撞响应的影响[J]. 应用数学和力学, 2015, 36(4): 393-403. doi: 10.3879/j.issn.1000-0887.2015.04.007
JIAO Xiao-juan, MA Jian-min. Effects of Boundary Damping on the Elastic Rod’s Response to Longitudinal Impact[J]. Applied Mathematics and Mechanics, 2015, 36(4): 393-403. doi: 10.3879/j.issn.1000-0887.2015.04.007
Citation: JIAO Xiao-juan, MA Jian-min. Effects of Boundary Damping on the Elastic Rod’s Response to Longitudinal Impact[J]. Applied Mathematics and Mechanics, 2015, 36(4): 393-403. doi: 10.3879/j.issn.1000-0887.2015.04.007

连接阻尼对弹性杆纵向碰撞响应的影响

doi: 10.3879/j.issn.1000-0887.2015.04.007
详细信息
    作者简介:

    焦晓娟(1975—),女,河南孟津人,高级工程师(E-mail: 11110290005@fudan.edu.cn);马建敏(1960—),男,陕西人,教授(通讯作者. E-mail: jmma@fudan.edu.cn).

  • 中图分类号: TB122;TB123;O327;O347.4+1

Effects of Boundary Damping on the Elastic Rod’s Response to Longitudinal Impact

  • 摘要: 分析了刚度和阻尼并存的一般边界条件下线弹性杆与刚体的纵向碰撞过程,得到了碰撞后第一个波动周期杆振动的位移、速度和应力的解析表达式,讨论了碰撞持续时间为2倍杆长与波速比的条件.将导出的解析表达式通过具体的算例代入计算,讨论了不同质量比、不同连接刚度条件下连接阻尼对于碰撞过程中杆中质点速度及应力响应的影响.研究表明,连接阻尼改变了受碰撞弹性杆的振动模式,连接阻尼影响着碰撞反射波速度和应力的突变幅度;连接阻尼增大,杆中速度和应力响应分布变平缓;在连接刚度较大的情况下,连接阻尼变化对于杆中质点速度和应力影响较大;碰撞持续时间与质量比、连接刚度、连接阻尼及杆长有关,与碰撞的初速度无关;在质量比较大的情况下,连接阻尼使得反射波到达杆碰撞端时,杆端的应力有显著的变化.
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出版历程
  • 收稿日期:  2014-09-09
  • 修回日期:  2015-02-16
  • 刊出日期:  2015-04-15

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