RESEARCH PAPER
Continuous Model for Vibrations of Thin-Walled Box Beams Filled with Polymer Concrete
1
Department of Mechanical Engineering and Mechatronics, West Pomeranian University of Technology, Poland
Submission date: 2025-10-08
Final revision date: 2026-03-12
Acceptance date: 2026-03-12
Publication date: 2026-06-05
Corresponding author
Beata NIESTEROWICZ
Department of Mechanical Engineering and Mechatronics, West Pomeranian University of Technology, Piastów, 70-310, Szczecin, Poland
Department of Mechanical Engineering and Mechatronics, West Pomeranian University of Technology, Piastów, 70-310, Szczecin, Poland
Acta Mechanica et Automatica 2026;20(2):280-290
HIGHLIGHTS
- Developed a continuous analytical model for steel–polymer concrete box beams
- Model captures transverse, longitudinal, and torsional vibrations with damping
- Experimental validation confirms < 1 % average error in natural frequency prediction
- Achieves accuracy comparable to 3D FEM with much lower computational effort
- Provide an efficient tool for vibration analysis and design of hybrid beam structures
KEYWORDS
modal analysisTimoshenko beam theorypolymer concretefrequency response functionsteel-concrete beamthin-walled box beam
TOPICS
ABSTRACT
This study presents a continuous analytical model for the dynamic analysis of thin-walled steel box beams filled with polymer concrete. The model incorporates transverse, longitudinal, and torsional vibrations, includes damping effects, and enables the calculation of frequency response functions. Its formulation is based on a coupled system of partial differential equations derived from Timoshenko beam theory and de Saint Venant’s torsion model, providing a closed-form solution for modal parameters and vibrational response. Experimental validation performed on a steel-polymer concrete beam showed close agreement between predicted and measured natural frequencies, mode shapes, and frequency response functions. Additional comparisons with one-dimensional, three-dimensional finite element models as well as rigid finite element models from the literature confirmed that the proposed approach can serve as an attractive alternative to other computational methods. The model offers a favorable balance between accuracy and simplicity, making it well suited for preliminary design and vibration analysis of steel-polymer composite structures.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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