Analytical Investigation of the Effects of Additional Load Mass on the Fundamental Frequency of Pedestrian Beam Bridges
Abstract
:1. Introduction
2. Problem Statement
3. Analytical Solutions for Beams with One, Two, and Three Equal Spans
- The eigenmode shape function for mode r, which satisfies boundary conditions:
- Natural frequency of the r-th mode:
- Generalized mass of the r-th mode:
3.1. Influence of Additional Mass over Length λ
3.2. Influence of the Arrival of a Uniformly Distributed Mass
3.3. Influence of Concentrated Mass
4. Application Example
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Dynamic Model of the Bridge | Circular Frequency |
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Dynamic Model of the Bridge | Circular Frequency |
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Dynamic Model of the Bridge | Circular Frequency |
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Spasojević Šurdilović, M.; Zorić, A.; Živković, S.; Turnić, D. Analytical Investigation of the Effects of Additional Load Mass on the Fundamental Frequency of Pedestrian Beam Bridges. Appl. Sci. 2024, 14, 7369. https://doi.org/10.3390/app14167369
Spasojević Šurdilović M, Zorić A, Živković S, Turnić D. Analytical Investigation of the Effects of Additional Load Mass on the Fundamental Frequency of Pedestrian Beam Bridges. Applied Sciences. 2024; 14(16):7369. https://doi.org/10.3390/app14167369
Chicago/Turabian StyleSpasojević Šurdilović, Marija, Andrija Zorić, Srđan Živković, and Dragana Turnić. 2024. "Analytical Investigation of the Effects of Additional Load Mass on the Fundamental Frequency of Pedestrian Beam Bridges" Applied Sciences 14, no. 16: 7369. https://doi.org/10.3390/app14167369