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arXiv · 2607.15802

Analytical and Reduced-Order Modeling of a Timoshenko Beam with Point Actuation

Alexander Zuyev·Julia Kalosha
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Abstract

We present frequency-domain models of a controlled mechanical system consisting of a flexible beam and a rigid body. The transfer function for the beam, governed by the Timoshenko equations under the body-beam interface conditions, is derived analytically. Based on this infinite-dimensional representation, reduced-order models are constructed within the framework of Loewner matrices. A comparative analysis of the Bode plots is presented for the beam model using different choices of sensor-actuator pairs to validate the proposed frequency-domain modeling framework.

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Alexander Zuyev, Julia Kalosha. 2026-07-17. Analytical and Reduced-Order Modeling of a Timoshenko Beam with Point Actuation. https://arxiv.org/abs/2607.15802

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