混凝土坝振动参数区间逆分析
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摘要
考虑模态观测数据的不确定性 ,引入不确定问题求解的区间分析思想 ,建立了利用先验约束条件的混凝土重力坝动态参数的区间反演模型 ;并采用约束变尺度方法求解该反演模型获得待求参数的区间范围 .以某大坝空库情形为例 ,在振动观测数据不完全的条件下 ,对该方法进行了考察 .结果表明 ,在只有一阶圆频率和几个固定点处有一阶振型观测数据的情况下 ,可以可靠地识别出坝体混凝土和基础岩石的动弹性模量所在区间范围 ;该方法具有一般性 ,可以应用于一般结构振动参数识别问题
Considering the uncertain property of measured mode data and the prior constrained information of variables, an interval inversion analysis model was built to identify the vibration parameters of the concrete dam and the rock basement by using the interval analysis method. The constrained variable metric algorithm was used to solve the present model to obtain the intervals of the parameters. The present process was inspected by using the incomplete measured data of the concrete gravity dam under the condition of the empty reservoir. Numerical results show that the intervals of the elastic modulus of the dam concrete and the rock basement could be reliably identified by using the first order vibration mode values at several fixed points in the dam. The present process in this paper is of a general method and can be used to identify the vibration parameters of structures.
Considering the uncertain property of measured mode data and the prior constrained information of variables, an interval inversion analysis model was built to identify the vibration parameters of the concrete dam and the rock basement by using the interval analysis method. The constrained variable metric algorithm was used to solve the present model to obtain the intervals of the parameters. The present process was inspected by using the incomplete measured data of the concrete gravity dam under the condition of the empty reservoir. Numerical results show that the intervals of the elastic modulus of the dam concrete and the rock basement could be reliably identified by using the first order vibration mode values at several fixed points in the dam. The present process in this paper is of a general method and can be used to identify the vibration parameters of structures.
引文
[1]顾冲时,蔡 新,吴中如.探讨混凝土坝空间位移的正反分析模型[J].工程力学,1997,14(2):138-144.
[2]刘迎曦,王登刚,李守巨,等.混凝土重力坝弹性模量识别的一种新方法[J].大连理工大学学报,2000,40(2):144-147.(LIU Yingxi,WANG Denggang,LI Shouju,et al.New method for identifying elastic modulus ofconcrete gravity dam[J].J DalianUnivTechnol2000,40(2):144-147.)
[3]于永德,王日松.脉动法测试建筑结构的动力学参数[J].武汉水运工程学院学报,1993,17(3):339-342.
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[6]陈和群.直接滤频法的改进方案[J].华东水利学院学报,1985,13(4):10-15.
[7]RAO SS,BERKE L.Analysis of uncertain structuralsystems using interval analysis[J].AIAA J,1997,35(4):727-735.
[8]ELISHAKOFF I.Three versions of the finite elementmethod based on concepts of either stochasticity,fuzziness or anti-optimization[J].ApplMechRev,1998,51(3):209-218.
[9]李庆扬,莫孜中,祁力群.非线性方程组的数值解法[M].北京:科学出版社,1999.
[10]余 俊,周 济.优化方法程序库OPB-2——原理及应用[M].武汉:华中理工大学出版社,1997.
[2]刘迎曦,王登刚,李守巨,等.混凝土重力坝弹性模量识别的一种新方法[J].大连理工大学学报,2000,40(2):144-147.(LIU Yingxi,WANG Denggang,LI Shouju,et al.New method for identifying elastic modulus ofconcrete gravity dam[J].J DalianUnivTechnol2000,40(2):144-147.)
[3]于永德,王日松.脉动法测试建筑结构的动力学参数[J].武汉水运工程学院学报,1993,17(3):339-342.
[4]丰满发电厂.大坝动力特性试验资料汇编[Z].吉林:丰满发电厂,1996.
[5]王良深.混凝土坝地震动力分析[M].北京:地震出版社,1981.
[6]陈和群.直接滤频法的改进方案[J].华东水利学院学报,1985,13(4):10-15.
[7]RAO SS,BERKE L.Analysis of uncertain structuralsystems using interval analysis[J].AIAA J,1997,35(4):727-735.
[8]ELISHAKOFF I.Three versions of the finite elementmethod based on concepts of either stochasticity,fuzziness or anti-optimization[J].ApplMechRev,1998,51(3):209-218.
[9]李庆扬,莫孜中,祁力群.非线性方程组的数值解法[M].北京:科学出版社,1999.
[10]余 俊,周 济.优化方法程序库OPB-2——原理及应用[M].武汉:华中理工大学出版社,1997.
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