响应面法预测单层球壳简单动荷载下的破坏形式
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摘要
单层球壳在简单动荷载作用下的破坏形式为强度破坏和动力失稳,预测一个球壳的破坏形式具有重要的研究意义。本文通过响应面法计算了中等跨度的单层球壳在简单动荷载(简谐荷载和阶跃荷载)下Pcr(极限荷载)和Pcr/2两个荷载幅值对应的可靠指标及其比值,并定义该值为破坏指标(Kβ),建立了Kβ与破坏类型的定量关系。在此基础上,分析了预测单层球壳破坏形式的原则,制定了合理有效的预测流程,最终达到了预测的目的。结果表明,本文所提出的方法具有较好的准确性和较高的效率。
Dynamic instability and strength failures were the failure types of single-layer spherical shells under simple dynamic loads.So prediction of the failure types is significant.The response surface method has been used to obtain the reliability index β 1 and β 2 under the ultimate load P c r and P c r /2 respectively.The concept of damage index K β is presented which equals β 2/β 1.The relationship generalized between K β and the failure types.Based on the analysis mentioned above,the principles of the failure types prediction have been discussed in detail,and at the same time,the prediction process has been presented.So the purpose to predict the failure type has been achieved.As well,the prediction method has been proved to be accurate and effective.
Dynamic instability and strength failures were the failure types of single-layer spherical shells under simple dynamic loads.So prediction of the failure types is significant.The response surface method has been used to obtain the reliability index β 1 and β 2 under the ultimate load P c r and P c r /2 respectively.The concept of damage index K β is presented which equals β 2/β 1.The relationship generalized between K β and the failure types.Based on the analysis mentioned above,the principles of the failure types prediction have been discussed in detail,and at the same time,the prediction process has been presented.So the purpose to predict the failure type has been achieved.As well,the prediction method has been proved to be accurate and effective.
引文
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[12]包伟,叶继红,沈世钊.单层球面网壳中响应面法的交叉项研究[J].空间结构,2007,13(4):3-6.(BAOWei,YE Ji-hong,SHEN Shi-zhao.Cross item of re-sponse surface method in single-layer spherical latticeshell[J].Spatial Structures,2007,13(4):3-6.(inChinese))
[2]郭海山,沈世钊.单层网壳结构动力稳定性分析方法[J].建筑结构学报,2003,24(3):1-9.(GUO Hai-shan,SHEN Shi-zhao.Analysis method of dynamicstability of single-layer reticulated domes[J].Jour-nal of Building Structures,2003,24(3):1-9(in Chi-nese))
[3]沈世钊,支旭东.球面网壳结构在强震下的失效机理[J].土木工程学报,2005,38(1):11-20.(SHEN Shi-zhao,ZHI Xu-dong.Failure mechanism of reticularshells subjected to dynamic actions[J].China CivilEngineering Journal,2005,38(1):11-20.(in Chi-nese))
[4]苑宏宇.单层球面网壳的最不利动荷载分布和动力失效分析[D].东南大学,2006.(YUAN Hong-yu.Themost unfavorable dynamic loads and dynamic failureanalysis of single-layer spherical shells[D].South-east University,2006.(in Chinese))
[5]苑宏宇,叶继红,沈世钊,等.单层球面网壳在简单动荷载作用下的失效研究[J].工程抗震与加固改造.2006,28(4):10-17.(YUAN Hong-yu,YE Ji-hong,SHEN Shi-zhao,et al.Failure mechanism analysis ofsingle-layer spherical shell subjected to simple dy-namic loads[J].Earthquake Resistant Engineeringand Retrofitting,2006,28(4):10-17(in Chinese))
[6]佟晓利,赵国藩.一种与结构可靠度分析几何法相结合的响应面方法[J].土木工程学报,1997,30(4):51-57.(TONG Xiao-li,ZHAO Guo-fan.The responsesurface method in conjunction with geometric instructural reliability analysis[J].China Civil Engi-neering Journal,1997,30(4):51-57.(in Chinese))
[7]朱静,郭军,陆鑫森.一种新的结构可靠性计算方法--响应面法[J].上海交通大学学报,1995,29(2):26-31.(ZHU Jing,GUO Jun,LU Xin-sen.A newstructure reliability analysis method-response surfacemethod[J].Journal of Shanghai Jiaotong University,1995,29(2):26-31.(in Chinese))
[8]BUCHER G G,BOURGUND U.A fast and efficientresponse surface approach for structural reliabilityproblems[J].Structure Safety,1990(7):57-66.(inChinese))
[9]武清玺,卓家寿.二次序列响应面法分析重力坝的动力可靠度[J].振动工程学报,2001,14(6):224-227.(WU Qing-xi,ZHUO Jia-shou.Dynamic reliabilityanalysis of gravity dams using a second-order se-quence response surface method[J].Journal of Vi-bration Engineering,2001,14(6):224-227.(in Chi-nese))
[10]董聪,夏人伟.现代结构系统可靠性评估理论研究进展[J].力学进展,1995,25(4):537-548.(DONGCong,XIA Ren-wei.Advances in the modern relia-bility evaluation theory of structural systems[J].Advances in Mechanics,1995,25(4):537-548.(inChinese))
[11]董聪,刘西拉.非线性结构系统可靠度理论及其模拟算法[J].土木工程学报,1998,31(1):33-43.(DONG Cong,LIU Xi-la.A reliability theory andsimulation algorithm of nonlinear structural system[J].China Civil Engineering Journal,1998,31(1):33-43(in Chinese))
[12]包伟,叶继红,沈世钊.单层球面网壳中响应面法的交叉项研究[J].空间结构,2007,13(4):3-6.(BAOWei,YE Ji-hong,SHEN Shi-zhao.Cross item of re-sponse surface method in single-layer spherical latticeshell[J].Spatial Structures,2007,13(4):3-6.(inChinese))
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