A Structured Approach to Solve the Inverse Eigenvalue Problem for a Beam with Added Mass
The problem of determining the eigenvalues of a vibrational system having multiple lumped attachments has been investigated extensively. However, most of the research conducted in this field focuses on determining the natural frequencies of the combined system assuming that the characteristics of th...
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| Veröffentlicht in: | Mathematical problems in engineering 2014-01, Vol.2014 (1) |
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| creator | Mir Hosseini, Farhad Baddour, Natalie |
| description | The problem of determining the eigenvalues of a vibrational system having multiple lumped attachments has been investigated extensively. However, most of the research conducted in this field focuses on determining the natural frequencies of the combined system assuming that the characteristics of the combined vibrational system are known (forward problem). A problem of great interest from the point of view of engineering design is the ability to impose certain frequencies on the vibrational system or to avoid certain frequencies by modifying the characteristics of the vibrational system (inverse problem). In this paper, a method to impose two natural frequencies on a dynamical system consisting of an Euler-Bernoulli beam and carrying a single mass attachment is evaluated. |
| doi_str_mv | 10.1155/2014/292609 |
| format | Article |
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However, most of the research conducted in this field focuses on determining the natural frequencies of the combined system assuming that the characteristics of the combined vibrational system are known (forward problem). A problem of great interest from the point of view of engineering design is the ability to impose certain frequencies on the vibrational system or to avoid certain frequencies by modifying the characteristics of the vibrational system (inverse problem). In this paper, a method to impose two natural frequencies on a dynamical system consisting of an Euler-Bernoulli beam and carrying a single mass attachment is evaluated.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2014/292609</identifier><language>eng</language><publisher>New York: Hindawi Publishing Corporation</publisher><subject>Accessories ; Design engineering ; Dynamical systems ; Dynamics ; Eigenvalues ; Euler-Bernoulli beams ; Finite element analysis ; Forward problem ; Inverse ; Inverse problems ; Mathematical analysis ; Mathematical problems ; Optimization ; Resonant frequencies ; Resonant frequency</subject><ispartof>Mathematical problems in engineering, 2014-01, Vol.2014 (1)</ispartof><rights>Copyright © 2014 Farhad Mir Hosseini and Natalie Baddour.</rights><rights>Copyright © 2014 Farhad Mir Hosseini and Natalie Baddour. Farhad Mir Hosseini et al. 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| source | Wiley Online Library Open Access; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | Accessories Design engineering Dynamical systems Dynamics Eigenvalues Euler-Bernoulli beams Finite element analysis Forward problem Inverse Inverse problems Mathematical analysis Mathematical problems Optimization Resonant frequencies Resonant frequency |
| title | A Structured Approach to Solve the Inverse Eigenvalue Problem for a Beam with Added Mass |
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