Matrix basis for plane and modal waves in a Timoshenko beam
نویسندگان
چکیده
منابع مشابه
Matrix basis for plane and modal waves in a Timoshenko beam
Plane waves and modal waves of the Timoshenko beam model are characterized in closed form by introducing robust matrix basis that behave according to the nature of frequency and wave or modal numbers. These new characterizations are given in terms of a finite number of coupling matrices and closed form generating scalar functions. Through Liouville's technique, these latter are well behaved at ...
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Comparing Timoshenko Beam to Energy Beam for Fitting Noisy Data
In this paper we develop highly flexible Timoshenko beam model for tracking large deformations in noisy data. We demonstrate that by neglecting some physical properties of Timoshenko beam, classical energy beam can be derived. The comparison of these two models in terms of their robustness and precision against noisy data is given. We demonstrate that Timoshenko beam model is more robust and pr...
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The Riesz basis property of the generalized eigenvector system of a Timoshenko beam with boundary feedback is studied. Firstly, two auxiliary operators are introduced, and the Riesz basis property of their eigenvector systems is proved. This property is used to show that the generalized eigenvector system of a Timoshenko beam with some linear boundary feedback forms a Riesz basis in the corresp...
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ژورنال
عنوان ژورنال: Royal Society Open Science
سال: 2016
ISSN: 2054-5703
DOI: 10.1098/rsos.160825