Estimation algorithm for physical parameters in a shallow arch
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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.
Abstract
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.
참고문헌 (11)
- J.M Ball, "Initial-boundary value problems for an extensible beam", Journal of Mathematical Analysis and Applications, 42(1), pp.61~90 (1973), Elsevier BV[DOI]
- J.M. Ball, "Stability theory for an extensible beam", Journal of Differential Equations, 14(3), pp.399~418 (1973), Elsevier BV[DOI]
- Q. Bi, "Analysis of non-linear dynamics and bifurcations of a shallow arch subjected to periodic excitation with internal resonance", J. Sound Vibration, 233(4), pp.553~567 (2000)
- J. Chen, "Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load, ntern", J. Solids Structures, 43(14), pp.4220~4237 (2006)
- E. Emmrich, "A class of integro-differential equations incorpo-rating nonlinear and nonlocal damping with applications in nonlinear elastodynam-ics: existence via time discretization", Nonlinearity, 24(9), pp.2523~2546 (2011)[DOI]
- Semion Gutman, "Uniform attractor of shallow arch motion under moving points load", Journal of Mathematical Analysis and Applications, 464(1), pp.557~579 (2018), Elsevier BV[DOI]
- Semion Gutman, "Parameter identification for weakly damped shallow arches", Journal of Mathematical Analysis and Applications, 403(1), pp.297~313 (2013), Elsevier BV[DOI]
- J. Ha, "Stability of shallow arches under constant load, Intern", J. Non-Linear Mech, 58, pp.120~127 (2014)
- W. Lacarbonara, "Resonant non-linear normal modes. Part II: activation", orthogonality conditions for shallow structural systems, 2003, pp.38(6), 873~887[DOI]
- J. Lin, "Dynamic snap-through of a laterally loaded arch under prescribed end motion", Intern. J. Solids Structures, 40(18), pp.4769~4787 (2003)
- J.-L. Lions, "Optimal control of systems governed by partial differential equations" (1971), Springer-Verlag