A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading
This contribution considers a virtual experiment on the vibrational response of rail and road bridges equipped with smart devices in the form of damping elements to mitigate vibrations. The internal damping of the bridge is considered a discontinuity that contain a dashpot. Exact complex eigenvalues...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-05-01
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| Series: | Infrastructures |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2412-3811/5/5/40 |
| _version_ | 1797568696596561920 |
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| author | Alberto Di Matteo Iain Peter Dunn Giuseppe Failla Antonina Pirrotta |
| author_facet | Alberto Di Matteo Iain Peter Dunn Giuseppe Failla Antonina Pirrotta |
| author_sort | Alberto Di Matteo |
| collection | DOAJ |
| description | This contribution considers a virtual experiment on the vibrational response of rail and road bridges equipped with smart devices in the form of damping elements to mitigate vibrations. The internal damping of the bridge is considered a discontinuity that contain a dashpot. Exact complex eigenvalues and eigenfunctions are derived from a characteristic equation built as the determinant of a 4 × 4 matrix; this is accomplished through the use of the theory of generalized functions to find the response variables at the positions of the damping elements. To relate this to real world applications, the response of a bridge under Poisson type white noise is evaluated; this is similar to traffic loading that would be seen in a bridge’s service life. The contribution also discusses the importance of smart damping and dampers to sustainability efforts through the reduction of required materials, and it discusses the role played by robust mathematical modelling in the design phase. |
| first_indexed | 2024-03-10T19:59:40Z |
| format | Article |
| id | doaj.art-b33fcfe5c1f547e3832868387228d19c |
| institution | Directory Open Access Journal |
| issn | 2412-3811 |
| language | English |
| last_indexed | 2024-03-10T19:59:40Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Infrastructures |
| spelling | doaj.art-b33fcfe5c1f547e3832868387228d19c2023-11-19T23:40:11ZengMDPI AGInfrastructures2412-38112020-05-01554010.3390/infrastructures5050040A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type LoadingAlberto Di Matteo0Iain Peter Dunn1Giuseppe Failla2Antonina Pirrotta3Dipartimento di Ingegneria, Università degli Studi di Palermo, 90128 Palermo, ItalyDipartimento di Ingegneria, Università degli Studi di Palermo, 90128 Palermo, ItalyDipartimento di Ingegneria Civile, dell’Energia, dell’Ambiente e dei Materiali, Università degli Studi Mediterranea di Reggio Calabria, 89124 Reggio Calabria, ItalyDipartimento di Ingegneria, Università degli Studi di Palermo, 90128 Palermo, ItalyThis contribution considers a virtual experiment on the vibrational response of rail and road bridges equipped with smart devices in the form of damping elements to mitigate vibrations. The internal damping of the bridge is considered a discontinuity that contain a dashpot. Exact complex eigenvalues and eigenfunctions are derived from a characteristic equation built as the determinant of a 4 × 4 matrix; this is accomplished through the use of the theory of generalized functions to find the response variables at the positions of the damping elements. To relate this to real world applications, the response of a bridge under Poisson type white noise is evaluated; this is similar to traffic loading that would be seen in a bridge’s service life. The contribution also discusses the importance of smart damping and dampers to sustainability efforts through the reduction of required materials, and it discusses the role played by robust mathematical modelling in the design phase.https://www.mdpi.com/2412-3811/5/5/40Euler Bernoulli beampoissonian loadingtuned mass damper |
| spellingShingle | Alberto Di Matteo Iain Peter Dunn Giuseppe Failla Antonina Pirrotta A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading Infrastructures Euler Bernoulli beam poissonian loading tuned mass damper |
| title | A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading |
| title_full | A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading |
| title_fullStr | A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading |
| title_full_unstemmed | A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading |
| title_short | A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading |
| title_sort | novel solution to find the dynamic response of an euler bernoulli beam fitted with intraspan tmds under poisson type loading |
| topic | Euler Bernoulli beam poissonian loading tuned mass damper |
| url | https://www.mdpi.com/2412-3811/5/5/40 |
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