• CN：11-2187/TH
  • ISSN：0577-6686
机械工程学报

机械工程学报 ›› 2016, Vol. 52 ›› Issue (19): 61-72.doi: 10.3901/JME.2016.19.061

• 机械动力学 • 上一篇    下一篇

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球-梁弹塑性次碰撞的试验研究和数值仿真*

戚晓利1， 2, 尹晓春2, 骞朋波2, 潘紫微1   

  1. 1. 安徽工业大学机械工程学院 马鞍山 243032
    , 2. 南京理工大学理学院 南京 210094
  • 出版日期:2016-10-05 发布日期:2016-10-05
  • 作者简介:

    作者简介：戚晓利，男，1975年出生，博士研究生，副教授。主要研究方向为撞击动力学。

    E-mail：qxllxw@163.com

    尹晓春(通信作者)，男，1963年出生，博士，教授，博士研究生导师。主要研究方向为撞击动力学、瞬态波理论及其应用。

    E-mail：yinxiaochun2000@aliyun.com

  • 基金资助:
    * 国家自然科学基金 (11372138，10872095)、高等学校博士学科点专项科研基金(2012321910036)和安徽高校省级自然科学研究(KJ2013Z021)资助项目; 20151104收到初稿，20160523收到修改稿;

Experimental Study and Numerical Simulation of Elastic-plastic Sub-impact of Simply Supported Beam Struck by Steel Sphere

QI Xiaoli1， 2, YIN Xiaochun2, QIAN Pengbo2, PAN Ziwei1   

  1. 1. School of Mechanical Engineering， Anhui University of Technology， Ma’anshan 243032
    , 2. School of Sciences， Nanjing University of Science and Technology， Nanjing 210094
  • Online:2016-10-05 Published:2016-10-05

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摘要：

次碰撞是柔性结构碰撞时特有的物理现象。为观测和深入研究这一现象，专门研制了一套柔性结构次碰撞试验平台。借助该试验平台，结合Hertz碰撞理论和动态子结构方法，对钢球坠落碰撞简支梁过程进行了详细的试验测试和数值仿真，观察到了复杂的次碰撞现象，深入探讨了次碰撞的碰撞接触时间规律和主要影响因素。研究结果表明，动态子结构方法可以作为球-梁弹塑性次碰撞行为分析的一种有效的数值计算手段。研究发现，在低速碰撞时Hertz碰撞理论所揭示的碰撞接触时间规律仍然适用于首个次碰撞过程，表明局部接触变形主导了首个次碰撞过程。次碰撞现象一旦发生，将导致简支梁碰撞端位移响应的前三阶振幅比和第一阶相位角均发生明显的变化。进一步的探讨则发现，次碰撞的发生与球-梁质量比、碰撞初速度和碰撞位置等因素密切相关，若用质量比来度量次碰撞的发生条件，发现存在一个质量比阈值，只有满足该质量比阈值，才会出现次碰撞。

关键词: Hertz碰撞理论, 次碰撞, 动态子结构方法, 碰撞接触时间, 试验, 梁

Abstract:

：The sub-impacts are peculiar characteristic of impacts involving flexible structure. The contact time regularity and main influencing factors of the sub-impacts of a simply supported beam struck by a steel sphere are studied by the Hertz impact theory and the dynamic substructure method, and tested by a set of sub-impact experimental platform designed by ourselves. The sub-impact phenomenon is observed through the experimental tests and numerical simulations. The results demonstrate that the dynamic substructure method is an effective numerical tool to analyze elastic-plastic sub-impact behavior of simply supported beam struck by steel sphere. Research found that impact-contact time of the first sub-impact is coinciding well with the Hertz contact time in low velocity impact. This means that the first sub-impact is dominated by local contact deformation, and its mechanism can be explained by the Hertz impact theory. As the sub-impacts occur, the ratios of maximum amplitudes of the first-, second-and third-order vibrations to the maximum amplitudes of the beam vibrations and the phase angle of the first-order vibration will change obviously. A further study showed that the occurrence conditions of the sub-impacts are connected with the ratio of the sphere mass to the equivalent mass of the simply supported beam, initial impact velocity and impact position. It is also found that the occurrence conditions of the sub-impacts can be represented by a mass ratio threshold, and the sub-impact will occur as long as the mass ratio threshold is satisfied.

Key words: dynamic substructure method, experiment, Hertz impact theory, impact-contact time, sub-impact, beam

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