指数型爆炸荷载下含阻尼梁构件动力系数研究  

Dynamic factor of damped beam member under exponential blast load

作　　者：宁京 洪欣 耿少波 韩晓丹 NING Jing;HONG Xin;GENG Shaobo;HAN Xiaodan(Shanxi Transportation New Technology Development Co.,Ltd.,Taiyuan 030000,China;School of Environment and Safety Engineering,North University of China,Taiyuan 030051,China)

机构地区：[1]山西省交通新技术发展有限公司,太原030000 [2]中北大学环境与安全工程学院,太原030051

出　　处：《振动与冲击》2024年第21期310-318,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(51408558);山西省基础研究计划资助项目(202203021211099)。

摘　　要：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0.001~0.100、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。Exponential function is more accurate to describe blast load of conventional weapons.Here,to study effects of this function’s shape parameters and damping ratio on dynamic factor of beam members,dynamic response differential equations for a flexible beam member and a rigid beam member were established,respectively according to an equivalent single-DOF simplified system,and theoretical solutions to vibration displacement containing dynamic factor in elastic-plastic stage were solved.The theoretical solutions were used to calculate dynamic factors under 48 typical working conditions within ranges of shape parameters of 1-2,damping ratios of 0.001-0.100 and ductility ratios of 1-4.Further,example verification and error analysis were performed for dynamic factors with the current anti-explosion design specification formula and finite element analysis to demonstrate the feasibility of the derived theoretical solutions.The study results showed that theoretical solutions solved have the same trend as calculation results of the anti-explosion design specification,and the specification formula is generally more conservative;increases in both shape parameters and damping ratio have a reducing effect on dynamic factor,the effect of damping ratio is larger;the effect of shape parameters on rigid beam members is larger than that on flexible beam members.

关 键 词：指数型爆炸荷载 形状参数 阻尼比 动力系数 

分 类 号：O383.2[理学—流体力学]