Frequency-Domain Analysis of the Euler-Bernoulli and Timoshenko Beams with Attached Masses
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913178393247744 |
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| author | Zuyev, Alexander Kalosha, Julia |
| author_facet | Zuyev, Alexander Kalosha, Julia |
| contents | This work focuses on the frequency-domain modeling of a control system with a flexible beam and a rigid body. A simply supported beam is equipped with a spring-loaded control actuator and possesses local damping effect. Using Hamilton's variational principle, the equations of motion are derived in the state space form taking into account interface conditions involving lumped control and local damping. The transfer functions are obtained for the Timoshenko and Euler--Bernoulli beam models with the output measurements provided by a point sensor. Comparative Bode plots are presented for the two beam models with different choices of output signals and damping coefficients. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_22147 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frequency-Domain Analysis of the Euler-Bernoulli and Timoshenko Beams with Attached Masses Zuyev, Alexander Kalosha, Julia Optimization and Control 93C20, 93C80, 93B15, 74H45, 74K10 This work focuses on the frequency-domain modeling of a control system with a flexible beam and a rigid body. A simply supported beam is equipped with a spring-loaded control actuator and possesses local damping effect. Using Hamilton's variational principle, the equations of motion are derived in the state space form taking into account interface conditions involving lumped control and local damping. The transfer functions are obtained for the Timoshenko and Euler--Bernoulli beam models with the output measurements provided by a point sensor. Comparative Bode plots are presented for the two beam models with different choices of output signals and damping coefficients. |
| title | Frequency-Domain Analysis of the Euler-Bernoulli and Timoshenko Beams with Attached Masses |
| topic | Optimization and Control 93C20, 93C80, 93B15, 74H45, 74K10 |
| url | https://arxiv.org/abs/2507.22147 |