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位移测量反演分析的正、逆定式化方法及其算法程序实现 被引量:4

DIRECT AND INVERSE FORMULATION METHODS AND THEIR ALGORITHMIC PROGRAMS FOR BACK ANALYSIS OF MEASURED DISPLACEMENTS
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摘要 位移测量反演分析已应用于岩石工程、结构检测、生物力学诊断等领域。介绍了位移反演分析的逆定式化方法与正定式化方法,以及基于这两种方法的初始地应力与岩层介质模量识别的两个算法程序,对比分析了两者在地应力模型、目标参数、反演算法等几个方面区别,重点说明了约束变尺度法优化算法能较好地解决非线性规划问题。并应用于岩石力学施工预报,获得了不同合理性和精度的反分析结果,以及区间最优的反演参数。 Back analysis of measured displacements has found application in rock engineering, structure detecting, biomechanical diagnosis, etc. The paper addresses the inverse formulation method and the direct formulation method for back analysis of measured displacements, and introduces two algorithmic programs based on the above two methods for identifying initial geostress parameters and rock modulus. Some distinctions of the two method, such as models of geostress, goal parameters, inverse algorithms, and so on, are analyzed and the constrained variable metric algorithm for solving nonlinear programming is highlighted. The methods and programs are applied in construction forecast of rock mechanics. Inverse results of different degree of rationality and precision are achieved, and optimum parameters in a interval are found.
出处 《工程力学》 EI CSCD 北大核心 2003年第6期182-186,共5页 Engineering Mechanics
基金 国家自然科学基金资助项目(10072014)和(30171184)
关键词 工程力学 位移测量反演分析 数值方法 正、逆定式化方法 约束变尺度法 engineering mechanics back analysis of measured displacements numerical approach direct and inverse formulation methods constrained variable metric method
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