ESTIMATION ALGORITHM FOR PHYSICAL PARAMETERS IN A SHALLOW ARCH

Design and maintenance of large span roof structures require an analysis of their static and dynamic behavior depending on the physical parameters defining the structures. Therefore, it is highly desirable to estimate the parameters from observations of the system. In this paper we study the paramet...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 58; no. 3; pp. 723 - 740
Main Authors Gutman, Semion, Ha, Junhong, Shon, Sudeok
Format Journal Article
LanguageKorean
Published 2021
Subjects
critical pairs
Shallow arch
stability analysis
damping effect
parameter estimation
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Summary:Design and maintenance of large span roof structures require an analysis of their static and dynamic behavior depending on the physical parameters defining the structures. Therefore, it is highly desirable to estimate the parameters from observations of the system. In this paper we study the parameter estimation problem for damped shallow arches. We discuss both symmetric and non-symmetric shapes and loads, and provide theoretical and numerical studies of the model behavior. Our study of the behavior of such structures shows that it is greatly affected by the existence of critical parameters. A small change in such parameters causes a significant change in the model behavior. The presence of the critical parameters makes it challenging to obtain good estimation. We overcome this difficulty by presenting the Parameter Estimation Algorithm that identifies the unknown parameters sequentially. It is shown numerically that the algorithm achieves a successful parameter estimation for models defined by arbitrary parameters, including the critical ones.
Bibliography:KISTI1.1003/JNL.JAKO202116057093116
ISSN:0304-9914