| 拱坝开裂轨迹的概率向量及其分析的随机有限元法 |
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| 引用本文： | 陈祖坪,陈式慧.拱坝开裂轨迹的概率向量及其分析的随机有限元法[J].工程力学,1995(4). |
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| 作者姓名： | 陈祖坪 陈式慧 |
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| 作者单位： | 首钢工学院，国家自然科学基金委员会 |
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| 摘 要： | 按拱坝的分载位移法分析拱坝。以拱梁交点的各类复合内力做为交点截面破坏的判据。由截面各类复合内力的极限状态建立截面破坏的各类功能函数，导出了各类功能函数的梯度向量计算公式，以及破坏概率计算的迭代、递推公式。由拱坝截面的破坏进行拱坝超静定次数的降维。由破坏截面的累集寻找拱坝开裂的轨迹。由破坏截面条件概率的累集得到拱坝破坏轨迹的条件概率向量。
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| 关 键 词： | 拱坝，随机有限元，复合内力，梯度向量，概率向量 |
PROBABILITY VECTOR OF CRACKING TRAJECTORIES OF ARCH DAM AND STOCHASTIC FINITE ELEMENT METHOD |
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| Chen Zuping, Chen Shihui.PROBABILITY VECTOR OF CRACKING TRAJECTORIES OF ARCH DAM AND STOCHASTIC FINITE ELEMENT METHOD[J].Engineering Mechanics,1995(4). |
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| Authors: | Chen Zuping Chen Shihui |
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| Affiliation: | Chen Zuping; Chen Shihui(Shougang University) (National The Committee of Natural Science Foundation of China) |
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| Abstract: | The arch dam is analyzed by the load distribution-stiffness method. The cracking section performance functions are set up according to the limit state of every combined internal force. The formula of the gradient vector of every performance function is derived, and the iterative and recurrence formulas of collapse probability of section are obtained. The reduction of the arch dam's degree of statical indeterminiacy is carried out according to the failure of the section. The cracking trajectory of arch dam is traced in accordance with the progression of cracking sections. The conditional probability vector of cracking trajectocy of arch dam is formed in terms of the progression of conditional probability of cracking section of arch dam. |
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| Keywords: | cracking trajectory of arch dam stochastic finite element probability vector combined internal force |
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