既有砌体结构抗压强度的贝叶斯推断
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长沙理工大学

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TU362

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国家自然科学基金青年科学基金项目-基于匀质化理论与薄板能量变分原理的砌体墙平面外性能研究


Bayesian inference for compressive strength of existing masonry structure
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Changsha University of Science and Technology

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    摘要:

    基于贝叶斯理论,推断既有砌体结构的抗压强度。将现场原位轴压法测试的砌体抗压强度作为先验信息,同时利用块体和砂浆回弹法检测强度的推定值,按照GB50003-2011《砌体结构设计规范》中的砌体抗压强度计算公式构造似然函数,联合先验信息和似然函数,推导既有砌体结构抗压强度的后验分布,研究结果表明通过后验分布可得到综合各种信息的既有砌体结构抗压强度的合理推断值。且已建立的后验分布可作为下一次抗压强度贝叶斯推断的先验信息,可实现既有砌体结构抗压强度值的动态长期观测,为砌体结构的定期维修和加固提供依据,为砌体结构的可持续发展提供基础。

    Abstract:

    Based on Bayesian theory, the compressive strength of existing masonry structure was deduced. Compressive strength tested by the method of axial compression in situ was taken as prior information. At the same time, calculated strength of block and mortar by rebound method was used to construct the likelihood function, according to the GB50003-2011Code for design of masonry structures. And then the posterior distribution of compressive strength was derived. It was shown that reasonable strength combined with various information of compressive strength for existing masonry structures can be obtained. Moreover, the established posterior distribution can be used as the prior information for the next compressive strength reference, and the dynamic long-term observation of the compressive strength for existing masonry structure can be realized. Furthermore the basis for regular maintenance and reinforcement of existing masonry structure can be provided, also the foundation for sustainable development of existing masonry structure can be established.

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历史
  • 收稿日期:2020-06-16
  • 最后修改日期:2020-08-06
  • 录用日期:2020-08-16
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