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An inverse mode problem for the continuous beam.

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Bibliographic Details
Title: An inverse mode problem for the continuous beam.
Authors: Tian, Xia1 (AUTHOR) tianxia666666@spu.edu.cn
Source: Inverse Problems in Science & Engineering. Sep2016, Vol. 24 Issue 7, p1205-1214. 10p.
Subjects: Continuous beams (Structural engineering), Eigenvalues, Structural frames, Eigenanalysis, Geometric rigidity
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. [ABSTRACT FROM PUBLISHER]
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Database: Engineering Source
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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. [ABSTRACT FROM PUBLISHER]
ISSN:17415977
DOI:10.1080/17415977.2016.1160388