指数型函数描述常规武器爆炸荷载更为精准，为研究该函数形状参数与阻尼比对梁构件动力系数的影响，按等效单自由度简化体系分别建立了柔性梁构件和刚性梁构件的动力响应微分方程，并求解了弹塑性阶段含动力系数的振动位移理论解。采用此理论解完成了形状参数取值1⁓2、阻尼比取值0.001⁓0.1、延性比取值1⁓4范围内共48种典型工况下动力系数的计算，并进一步通过现行抗爆设计规范公式、有限元分析的动力系数完成了算例验证及误差分析，说明了所推导理论解答的可行性。研究结果表明：所求理论解与抗爆设计规范计算结果趋势相同，规范公式整体上较为保守；形状参数和阻尼比的增大均对动力系数有降低作用，阻尼比的影响作用更大，形状参数对刚性梁构件的影响大于柔性梁构件。
Abstract
Exponential function is used to accurately describe the blast loading of conventional weapons. In order to study the effect of the shape parameter of this function and damping ratio on the dynamic factor of beam member, the vibrational differential equations for flexible and rigid beam members were respectively established by the equivalent single degree of freedom (SDOF) systems. The theoretical solutions of vibration displacements with dynamic factor in the elastic-plastic stage were solved. A total of 48 typical calculation cases about dynamic factor was designed and finished. For the calculation cases, shape parameter ranged from 1⁓2, damping ratio ranged from 0.001⁓0.1, and ductility ratio ranged from 1⁓4. Furthermore, the verification example and error analysis were completed by the formula of the current blast-resistant design code and by the finite element method analysis. Verification displayed the feasibility of the theoretical solution. The results show that the trend of derived formula solution is the same as that of the blast-resistant design code. The results of code formula are lower than those in derived formula. Both the shape parameter and damping ratio have an effect of reducing the value of dynamic factor. The damping ratio behaves more significant effect. The effect of shape parameter on rigid beam member is greater than that on flexible beam member.
关键词
指数型爆炸荷载 /
形状参数 /
阻尼比 /
动力系数
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Key words
exponential blast loading /
shape parameter /
damping ratio /
dynamic factor
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