基于有限质点法的单层柱面网壳冲击作用下动态响应  

Dynamic response of single-layer cylindrical latticed shell under impact based onfinite particle method

作　　者：丁北斗[1] 秦天琦 马占国[2] 张鲲鹏 徐娜娜 施岑岑 DING Beidou;QIN Tianqi;MA Zhanguo;ZHANG Kunpeng;XU Nana;SHI Cencen(Jiangsu Key Laboratory of Environmental Impact and Structural Safety in Engineering,China University of Mining and Technology,221116 Xuzhou,China;State Key Laboratory for Geomechanics&Deep Underground Engineering,China University of Mining and Technology,221116 Xuzhou,China;Shanghai Road and Bridge(Group)Co.LTD.,200433 Shanghai,China)

机构地区：[1]中国矿业大学江苏省土木工程环境灾变与结构可靠性高校重点实验室,徐州221116 [2]中国矿业大学深部岩土力学与地下工程国家重点实验室,徐州221116 [3]上海公路桥梁(集团)有限公司,上海200433

出　　处：《应用力学学报》2023年第6期1298-1307,共10页Chinese Journal of Applied Mechanics

基　　金：国家重点研发计划资助项目(No.2019YFE0118500);国家自然科学基金资助项目(No.51978656);徐州市科技局社会发展重点资助项目(No.KC19216)。

摘　　要：为了探究单层柱面网壳结构受冲击作用下的动态响应,验证有限质点法模拟网壳结构冲击动态响应的准确性,建立了7个冲击工况的有限质点法模型,采用以对称罚函数为基础的双球碰撞模型为冲击模型,根据能量守恒定律确定冲击模型中碰撞刚度系数,引入Cowper-Symonds本构模型,获取结构动力响应,并将模拟结果与试验结果对比。结果表明:1)有限质点法得到的冲击力时程变化曲线与试验结果相近;2)由于未考虑结构损伤因素,有限质点法所得节点位移略小于试验值,但所获得的结构失稳动量与试验一致;3)冲击产生的网壳应变能更易沿着网壳斜杆传递,同时冲击区杆件,刚度较大区域如支座附近的杆件为结构的主要受力构件。有限质点法可以较为准确的判断单层柱面网壳结构受冲击作用的动态响应,可为提高相关结构抗冲击性能提供理论依据。To study the dynamic response of single-layer cylindrical latticed shell under impact and examine the accuracy of finite particle method(FPM)in simulating the dynamic response of latticed shell structure,7 FPM models were established based on 7 impact conditions,which were adopted contact model of double ball deriving from symmetrical penalty function and were introduced Cowper-Symonds constitutive model.The law of energy conservation was used for obtaining impact stiffness coefficients in contact model.The results of simulation were used to reveal the dynamic response of structure and were compared with experimental ones.The results show that 1)time history curves of impact force were close those of experimental ones,2)node displacements got in FPM were smaller than those of experiment due to failure of considering damage factors of latticed shell,but its destabilizing momentum was the same as that of experiment,3)strain energy which was generated from impact had a tendency to transfer through the braces.Meanwhile,members in impact area and high stiffness area,such as adjacent supports area,were the main forced components.In total,FPM is an accurate method to simulate dynamic response of single-layer cylindrical latticed shell under impact,which can provide theoretical basis for improving impact resistance of similar structures.

关 键 词：单层柱面网壳结构抗冲击性能 有限质点法 单层柱面网壳试验 动态响应 对比分析 

分 类 号：TU399[建筑科学—结构工程]