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周加喜 邓子辰. 夹层梁低速冲击下的接触定律与结构响应[J]. 力学学报, 2009, 41(1): 113-121. DOI: 10.6052/0459-1879-2009-1-2007-427
引用本文: 周加喜 邓子辰. 夹层梁低速冲击下的接触定律与结构响应[J]. 力学学报, 2009, 41(1): 113-121. DOI: 10.6052/0459-1879-2009-1-2007-427
Jiaxi Zhou, Zichen Deng. On the contact law and structure responses of sandwich beam subject to low-velocity impact[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(1): 113-121. DOI: 10.6052/0459-1879-2009-1-2007-427
Citation: Jiaxi Zhou, Zichen Deng. On the contact law and structure responses of sandwich beam subject to low-velocity impact[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(1): 113-121. DOI: 10.6052/0459-1879-2009-1-2007-427

夹层梁低速冲击下的接触定律与结构响应

On the contact law and structure responses of sandwich beam subject to low-velocity impact

  • 摘要: 在考虑面板面内拉伸刚度等非线性因素的基础上,将夹层梁上面板视为弹塑性地基上的梁,由其平衡方程推导准静态压入接触定律. 进而研究了底面固定于刚性平面的夹层梁的低速冲击响应,验证了所推导的准静态压入接触定律在低速冲击下依然足够精确. 最后,用能量守恒模型,离散模型和连续模型分析了两端简支夹层梁的低速冲击响应以及接触持续时间.同时讨论了冲头与夹层梁质量比和初速度对结构响应以及分析模型适用性的影响. 理论分析结果与数值模拟结果比较表明:推导的接触定律是准确有效的. 给定初速度,质量比很小时,只有连续模型有效,而当质量比较大时3种模型均有效;给定质量,初速度较大时只有连续模型比较有效. 连续模型预测的接触持续时间与初速度无关.

     

    Abstract: The paper presented the contact law and structuralresponse of sandwich beam subject to low-velocity impact. Firstly, the upperface sheet of the sandwich beam is assumed as a beam supported on theelastic-plastic foundation. The quasi-static contact law is derived from theequilibrium equation of the beam associated with large deformation and axialtensile stiffness of the upper face sheet, and validated with the structureresponses of the sandwich beam fixed on the rigid plate subject tolow-velocity impact. Secondly, the structure responses of simply supportedsandwich beam with low-velocity impact are investigated by energy-balancemodel, discrete model and complete model to obtain the impact duration, thehistory of contact force and the transverse deflection. In addition, theeffects of the mass ratio and the initial velocity on the structuralresponses and the applicability of different models are investigated. Thetheoretical and numerical results demonstrate that the contact law proposedby present paper is efficient. All the models in the paper can be used toacquire the structural response when the mass ratio is large, and only thecomplete model can be accurately predict the response when the mass ratio issmall or the initial velocity is large, and the impact duration predicted bycomplete model is not influenced by the initial velocity.

     

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