冲击荷载下球壳顶点动力响应及凹陷半径研究

兰州理工大学学报 ›› 2026, Vol. 52 ›› Issue (1): 135-141.

冲击荷载下球壳顶点动力响应及凹陷半径研究

吴长^*1,2, 王化鑫^1,2, 张丹^1,2, 杨佑佩^1,2, 张悦瀚^1,2

1.兰州理工大学土木与水利工程学院, 甘肃兰州 730050;
2.兰州理工大学西部土木工程防灾减灾教育部工程研究中心, 甘肃兰州 730050

收稿日期:2022-06-21 出版日期:2026-02-28 发布日期:2026-03-05
通讯作者: 吴长(1981-),女,甘肃兰州人,博士,教授.Email:280863504@qq.com
基金资助:
国家自然科学基金(52268029),甘肃省住房和城乡建设厅建设科技项目(JK2025-19)

Research on dynamic response of spherical shell apex and its concave radius under impact

WU Chang^1,2, WANG Hua-xin^1,2, ZHANG Dan^1,2, YANG You-pei^1,2, ZHANG Yue-han^1,2

1. School of Civil and Hydraulic Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
2. Western Engineering Research Center of Disaster Mitigation in Civil Engineering of the Ministry of Education, Lanzhou University of Technology, Lanzhou 730050, China

Received:2022-06-21 Online:2026-02-28 Published:2026-03-05

摘要/Abstract

摘要： 通过建立球面网壳结构冲击区在三角形脉冲荷载下的运动方程,推导结构体系的动力响应及反应比;同时基于近似能量原理,计算球面网壳结构在冲击作用下的塑性大变形,对结构顶点受到单点冲击作用时壳体凹陷区域的半径做简化推导,并在ANSYS/LS-DYNA中建立K6型单层球面网壳模型对表达式进行数值模拟验证.研究表明:结构最大反应的主要影响因素为冲击荷载的作用时长及结构体系的自振频率.凹陷半径受球壳结构自身的曲率半径、等效厚度、棱区宽度、结构材料的屈服应力和结构吸收冲击能量的大小等因素的影响,且理论值与模拟值较为接近.

关键词: 网壳结构, 动力响应, 塑性变形, 近似能量原理, 冲击荷载

Abstract: The dynamic response and response ratio of the structure system are deduced by establishing the motion equation of the impact zone of the spherical reticulated shell under the triangular pulse load. At the same time, based on the principle of approximate energy, the large plastic deformation of spherical reticulated shell structure under impact loading is calculated, and the radius of the shell concave area under single point impact at the top of the structure is simplified. The K6 single-layer spherical reticulated shell is established in ANSYS/LS-DYNA to numerically validate the derived expression. The results show that the main influencing factors of the maximum response of the structure are the duration of the impact load and the natural frequency of the structural system. The concave radius is affected by the curvature radius, equivalent thickness, edge width, yield stress, and impact energy absorbed by the structure. Moreover, the theoretical value is close to the simulation value.

Key words: reticulated shell structure, dynamic response, plastic deformation, approximate energy principle, impact load

中图分类号:

TU399

吴长, 王化鑫, 张丹, 杨佑佩, 张悦瀚. 冲击荷载下球壳顶点动力响应及凹陷半径研究[J]. 兰州理工大学学报, 2026, 52(1): 135-141.

WU Chang, WANG Hua-xin, ZHANG Dan, YANG You-pei, ZHANG Yue-han. Research on dynamic response of spherical shell apex and its concave radius under impact[J]. Journal of Lanzhou University of Technology, 2026, 52(1): 135-141.

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