An inverse mode problem for the continuous beam |
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Authors: | Xia Tian |
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Affiliation: | College of Mathematic and Physics, Qilu University of Technology, Jinan, P.R. China. |
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Abstract: | Given three eigenvalues and their corresponding eigenfunctions of the beam. It is assumed that the total mass of a beam is known. The problem of constructing the physical elements of the system from the known data is considered. The sufficient conditions for the construction of a physical realizable system with positive continuous variable: bending rigidity function and density function are established. If these conditions are satisfied, the system may be constructed uniquely. |
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Keywords: | Eigenvalue eigenfunction beam inverse mode problem continuous beam |
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