杆系结构的梯度正则化法(GR)参数反演
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摘要
反问题在工程上的应用是当今的热门话题，然而在建筑工程上的应用却尚未充分展开。ＧＲ方法是一种较新的求解反问题的手段。本文采用ＧＲ方法，从理论上解决了平面任一杆系结构混凝土弹性模量ＲＣＥ的反演问题，并形成了具有一定通用性的软件。算例验证了本文理论的正确性
Inversing the problem used in an engineering is a nowadays burning topic, however, there is no full development found in an architecture engineering. GR method is a newer means than ever before, for finding the solution to the problem inversion. The paper adopts GR method and solves the inversion problem about the concrete′s elastic modulus(RCE) concerning the rod system structure in a plane, with a universal software formed to a certain extent. The computation examples have verified the theory discussed in the paper is exactly right and have proved that every inversion with its index does reach an advanced level as compared with that in the same field. In the paper, a feasible exploration is done that will be used to evaluate the buildings, decide maintenance plan, predict the life span of the building, and revise model as well.
Inversing the problem used in an engineering is a nowadays burning topic, however, there is no full development found in an architecture engineering. GR method is a newer means than ever before, for finding the solution to the problem inversion. The paper adopts GR method and solves the inversion problem about the concrete′s elastic modulus(RCE) concerning the rod system structure in a plane, with a universal software formed to a certain extent. The computation examples have verified the theory discussed in the paper is exactly right and have proved that every inversion with its index does reach an advanced level as compared with that in the same field. In the paper, a feasible exploration is done that will be used to evaluate the buildings, decide maintenance plan, predict the life span of the building, and revise model as well.
引文
1 李世雄,刘家琦. 小波变换和反问题的数学基础. 北京:地震出版社,1994
2 唐立民,张文飞,刘迎曦. 微分方程反问题的梯度正则化方法. 计算结构力学,1991,8(2)
3 胡维俊,陈明关,忻建. 龙羊峡重力拱坝的反分析. 河海大学学报,1993,(1)
4 吉洪诺夫A H,阿尔先宁BR. 不适定问题解法. 北京:地质出版社,1979
5 Morozov V A.Methods for Solving Incorrectly Posed Problem s.New York Inc,1984
2 唐立民,张文飞,刘迎曦. 微分方程反问题的梯度正则化方法. 计算结构力学,1991,8(2)
3 胡维俊,陈明关,忻建. 龙羊峡重力拱坝的反分析. 河海大学学报,1993,(1)
4 吉洪诺夫A H,阿尔先宁BR. 不适定问题解法. 北京:地质出版社,1979
5 Morozov V A.Methods for Solving Incorrectly Posed Problem s.New York Inc,1984
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