基于贝叶斯方法的历史建筑砌体抗压强度推定

Inference for Compressive Strength of Masonry in Historical Buildings Based on Bayesian Method

关键词:  历史建筑  砌体  抗压强度  贝叶斯方法

Key words:  historical building  masonry  compressive strength  Bayesian method

摘要:

基于贝叶斯方法获得历史建筑中砌体材料抗压强度的合理推定值.在实测样本有限且离散的条件下，引入可靠的先验信息，并通过构造合理的似然函数，将间接法和直接法的实测样本信息相结合，重构砖抗压强度、砂浆抗压强度以及砌体抗压强度推定误差的概率密度模型（PDF）.在推定砌体抗压强度的同时，定量表示推定结果的不确定性.所提方法适用于现场实测信息量不足时历史建筑砌体抗压强度的推定.

Abstract:

Compressive strength of masonry in historical buildings was evaluated based on Bayesian method. The limited information and divergent measured information were incorporated with reliable prior information, and information of direct measured strength samples and information of indirect measured strength samples were incorporated through an appropriate likelihood function. Probability density functions (PDFs) for compressive strength of brick, compressive strength of mortar, and compressive strength evaluation error of masonry were established. Compressive strength of masonry was inferred and its uncertainty was quantitatively evaluated based on the PDFs. The proposed method is suitable for compressive strength inference for masonry in historical buildings under limited measured information.