考虑几何偏差及重力影响的单层网壳冲击相似律研究

钟渝楷1,姜正荣2,3,姚小虎2,石开荣2,3,罗斌4

振动与冲击 ›› 2018, Vol. 37 ›› Issue (3) : 230-236.

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (3) : 230-236.
论文

考虑几何偏差及重力影响的单层网壳冲击相似律研究

  • 钟渝楷1,姜正荣2,3,姚小虎2,石开荣2,3,罗斌4
作者信息 +

Impact comparability rule for single layer reticulated shells considering effects of geometric deviation and gravity

  • ZHONG Yukai1, JIANG Zhengrong2,3, YAO Xiaohu2, SHI Kairong2,3, LUO Bin4
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摘要

根据 定律,在考虑应变率效应的基础上,分别推导了考虑几何偏差和重力影响的相似律表达式。根据已有文献的试验模型,采用非线性有限元软件LS-DYNA建立数值模型进行对比,验证有限元分析方法的可靠性。在此基础上,分别考虑几何偏差和同时考虑几何偏差及重力的影响,建立分析模型对相似关系进行验证,并将计算结果与未修正模型进行对比。研究表明:当考虑几何偏差或同时考虑几何偏差及重力影响时,修正模型均能获得满足相似关系的结果,并较好地预测原型的动态响应,具有较高的精度;而未修正模型预测结果与原型误差很大,不能用于工程实践。

Abstract

According to the principle, based on considering the strain-rate effect, the impact comparability rule for single layer reticulated shells considering geometric deviation and gravity, respectively was derived. According to the test model published in literature, the corresponding FE numerical model was built using the nonlinear FE software LS-DYNA, its computing results were compared with the test model’s results measured to verify the correctness of the FE analysis method. Then FE analysis models for single layer reticulated shells were constructed using LS-DYNA only considering geometric deviation and simultaneously considering geometric deviation and gravity to verify the derived comparability rule. The computation results were compared with those of the models unmodified (not considering geometric deviation and/or gravity). It was shown that when only considering the effect of geometric deviation or simultaneously considering geometric deviation and gravity, the FE models modified can obtain the results to satisfy the comparability rule; the FE models modified can predict dynamic responses of the prototype better with a higher precision, while prediction results of the FE models unmodified have larger errors compared to those of the prototype, and they cannot be used in practical engineering.

关键词

相似律 / 单层网壳 / 几何偏差 / 重力

Key words

 comparability rule / single layer reticulated shell / geometric deviation / gravity

引用本文

导出引用
钟渝楷1,姜正荣2,3,姚小虎2,石开荣2,3,罗斌4. 考虑几何偏差及重力影响的单层网壳冲击相似律研究[J]. 振动与冲击, 2018, 37(3): 230-236
ZHONG Yukai1, JIANG Zhengrong2,3, YAO Xiaohu2, SHI Kairong2,3, LUO Bin4. Impact comparability rule for single layer reticulated shells considering effects of geometric deviation and gravity[J]. Journal of Vibration and Shock, 2018, 37(3): 230-236

参考文献

[1] 郭可. 单层球面网壳在冲击载荷作用下的动力响应分析[D]. 太原: 太原理工大学, 2004.
GUO Ke. Dynamic analysis of single-layer reticulated shells under impact[D]. Taiyuan: Taiyuan University of Technology, 2014.
[2] FAN Feng, WANG Duozhi, ZHI Xudong, et al. Failure modes of reticulated domes subjected to impact and the judgment[J]. Thin-Walled Structures, 2010, 48(2): 143−149.
[3] 王多智. 冲击荷载下网壳结构的失效机理研究[D]. 哈尔滨: 哈尔滨工业大学, 2010.
WANG Duozhi. Failure mechanism of reticulated shells under impact[D]. Harbin: Harbin Insititute of Technology, 2010.
[4] 王多智, 范峰, 支旭东, 等.冲击荷载下网壳结构的失效模式及其动力响应特性[J]. 工程力学, 2014, 31(5): 180−189.
WANG Duozhi, FAN Feng, ZHI Xudong, et al. Failure modes and characteristics of dynamic response for reticulated shells under impact[J]. Engineering Mechanics, 2014, 31(5): 180−189.
[5] 王秀丽, 马肖彤, 吴长, 等. 钢管柱支承单层网壳结构抗冲击动力性能试验研究[J]. 振动工程学报, 2015, 28(5): 683−691.
WANG Xiuli, MA Xiaotong, WU Chang, etc. Shock resistance dynamic performance tests on single-layer dome supported with steel tube column[J]. Journal of Vibration Engineering, 2015, 28(5): 683−691.
[6] 吴长, 王秀丽, 马肖彤, 等. 冲击荷载下单层球面网壳动力响应分析与试验研究[J]. 振动与冲击, 2014, 33(22): 88−96.
WU Chang, WANG Xiuli, MA Xiaotong, et al. Numerical analysis and experimental study on the dynamic response of single-layer reticulated shell under impact[J]. Journal of Vibration and Shock, 2014, 33(22): 88−96.
[7] 马肖彤, 王秀丽, 冉永红, 等. 带下部支承柱单层球面网壳结构抗冲击动力性能研究[J]. 振动与冲击, 2015, 34(24): 170−176.
MA Xiaotong, WANG Xiuli, RAN Yonghong, etc. Shock resistance performance of single-layer spherical reticulated dome with lower supporting column[J]. Journal of Vibration and Shock, 2015, 34(24): 170−176.
[8] 王秀丽, 王昊, 施刚, 等. 单层网壳结构冲击响应模式及临界冲击动能研究[J]. 工程力学, 2015, 32(7): 81−87.
WANG Xiuli, WANG Hao, SHI Gang, ect. Study on impact response modes and critical impact kinetic energy of single-layer reticulated shell[J]. Engineering Mechanics, 2015, 32(7): 81−87.
[9] 丁北斗, 吕恒林, 李贤, 等. 单层柱面网壳冲击试验研究[J]. 振动工程学报, 2015, 28(5): 692−702.
DING Beidou, LU Henglin, LI Xian, ect. Experimental study on single-layer cylindrical reticulated shell under impact force[J]. Journal of Vibration Engineering, 2015, 28(5): 692−702.
[10] Cowper G R, Symonds P S. Strain hardening and strain-rate effects in the impact loading of cantilever beams [R]. Brown University, Technical Report No. 28, 1957.
[11] 余同希, 卢国兴. 材料与结构的能量吸收[M]. 北京: 化学工业出版社, 2005: 56−58.
YU Tongxi, LU Guoxing. Energy absorption of structures and materials[M]. Beijing: Chemical Industry Press, 2005: 56−58.
[12] Trimiño L F, Cronin D S. Non-direct similitude technique applied to the dynamic axial impact of bonded crush tubes[J]. International Journal of Impact Engineering, 2014, 64: 39−52.
[13] 秦健, 张振华. 原型和模型不同材料时加筋板冲击动态响应的相似预报方法[J]. 爆炸与冲击, 2010, 30(5): 511−516.
QIN Jian, ZHANG Zhenhua. A scaling method for predicting dynamic responses of stiffened plates made of materials different from experimental models[J]. Explosion and Shock Waves, 2010, 30(5): 511−516.
[14] Oshiro R E, Alves M. Predicting the behaviour of structures under impact loads using geometrically distorted scaled models[J]. Journal of the Mechanics and Physics of Solids, 2012, 60(7): 1330−1349.
[15] 迟世春, 林少书. 结构动力模型试验相似理论及其验证[J]. 世界地震工程, 2004, 20(4): 11−20.
CHI Shichun, Lam Siushu. Validation of similitude la ws for dynamic structural model test[J]. World Earthquake Engineering, 2004, 20(4): 11−20.
[16] 王多智, 范峰, 支旭东, 等. 考虑重力效应的单层球面网壳抗冲击荷载性能[J]. 哈尔滨工业大学学报, 2009, 41(8): 19−23.
WANG Duozhi, FAN Feng, Zhi Xudong, et al. Performance of single-layer reticulated domes under impact load and gravity[J]. Journal of Harbin Institute of Technology, 2009, 41(8): 19−23.

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