INVERSE CAUCHY PROBLEM FOR RACK-AND-BEAM STRUCTURE
https://doi.org/10.33979/2073-7416-2023-105-1-3-15
Abstract
The object of this study is the building frames with rigid beam-to-column assemblies. The aim of the study is to assess the impact on the accuracy of the solution of the problem of the error of the input data and the number of given coefficients of the deflection equation. The studies were carried out using analytical and experimental methods of regularization, reduction of measurements, solutions on a measuring compact, polynomial approximation, linear Lagrangian interpolation and numerical differentiation.
Rigid coupling of a beam with a rack is modeled analytically and by a full-scale experiment. For a quantitative assessment of the effectiveness of solving the problem, the values of the target parameter and the optimization criterion are determined through the minimum of the Lebesgue function. It is proposed to use the obtained results of solving the inverse Cauchy problem in experimental and theoretical studies of rack-and-beam structures.
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Review
For citations:
Loktionov A.P. INVERSE CAUCHY PROBLEM FOR RACK-AND-BEAM STRUCTURE. Building and Reconstruction. 2023;1(1):3-15. (In Russ.) https://doi.org/10.33979/2073-7416-2023-105-1-3-15
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