K8型单层球面网壳爆炸动力响应的简化计算方法研究  

Simplified calculation method for dynamic response of K8 single-layer reticulated shell under blast load

作　　者：苏倩倩[1,2] 翟希梅 SU Qianqian;ZHAI Ximei(School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China;Central Research Institute of Building and Construction Co., Ltd., Beijing 100088, China)

机构地区：[1]哈尔滨工业大学土木工程学院,哈尔滨150090 [2]中冶建筑研究总院有限公司,北京100088

出　　处：《振动与冲击》2018年第5期213-220,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51378151)

摘　　要：根据哈密顿原理,基于拉格朗日方程提出了适用于简支梁和K8型单层球面网壳爆炸动力响应计算的理论分析模型。首先,利用该方法获得了简支梁在三角形爆炸荷载作用下的动力响应,其简支梁跨中的振动规律、峰值位移与速度以及系统的动能和内能等结果与有限元分析极为接近。继而将该方法推广到K8型单层球面网壳在三角形爆炸荷载作用下的动力响应计算,探讨了网壳杆件变形函数中广义位移参数数量和荷载峰值对响应结果的影响及规律。基于理论计算结果与LS-DYNA有限元分析的误差分析,对理论分析模型进行了改进,总结了该理论方法在网壳结构爆炸响应计算上的适用性。According to Hamilton’s principle,a theoretical analysis model suitable for a simply supported beam and a K8single-layer reticulated shell was proposed based on Lagrange’s equations.Firstly,the model was applied to calculate dynamic responses of a simply supported beam under tri-angular blast loads.Results showed that its vibration law,peak displacement,velocity,kinetic energy and internal energy are very close to those of FE analysis.Then,the theoretical analysis model was extended to calculate dynamic responses of K8single-layer reticulated shell under triangular blast load.Influence laws of the number of generalized displacement parameters in deformation functions of the shell’s rods and peak load on response results were analyzed.Finally,based on analyzing the error between results of the theoretical analysis model and those of LS-DYNA FE analysis,the theoretical analysis model was improved.The applicability of this theoretical analysis model for calculating dynamic response of reticulated shells under blast load was proved.

关 键 词：拉格朗日方程 爆炸 动力响应 简支梁 单层球面网壳 

分 类 号：TU393[建筑科学—结构工程] TU393.3