A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type Resonators
This paper first employs and develops an exact wave-based vibration analysis approach to investigate a finite Timoshenko beam carrying periodic two-degree-of-freedom (2-DOF) uncoupled force-moment type resonators. In the approach, vibrations are described as structural waves that propagate along uni...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-12-01
|
| Series: | Crystals |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4352/10/12/1132 |
| _version_ | 1827700271237562368 |
|---|---|
| author | Hangyuan Lv Yimin Zhang |
| author_facet | Hangyuan Lv Yimin Zhang |
| author_sort | Hangyuan Lv |
| collection | DOAJ |
| description | This paper first employs and develops an exact wave-based vibration analysis approach to investigate a finite Timoshenko beam carrying periodic two-degree-of-freedom (2-DOF) uncoupled force-moment type resonators. In the approach, vibrations are described as structural waves that propagate along uniform structural elements and reflected and transmitted at structural discontinuities. Each uncoupled force-moment type resonator is considered as a cell which injects waves into the distributed beam through the transverse force and the bending moment at the attached point. By assembling wave relations of the cells into the beam, the forced vibration problem of the locally resonant (LR) structure is turned to be the solution to a related set of matrix equations. In addition, the parametric analysis provides an efficient method to obtain wide low-frequency range band-gaps. Accuracy of the proposed wave-based vibration analysis approach is demonstrated by the simulated and measured results of two sets of beam-like resonator samples. |
| first_indexed | 2024-03-10T14:08:58Z |
| format | Article |
| id | doaj.art-8c09dfc99f074d1eaa57773050b6e73f |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T14:08:58Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-8c09dfc99f074d1eaa57773050b6e73f2023-11-21T00:24:58ZengMDPI AGCrystals2073-43522020-12-011012113210.3390/cryst10121132A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type ResonatorsHangyuan Lv0Yimin Zhang1School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaEquipment Reliability Institute, Shenyang University of Chemical Technology, Shenyang 110142, ChinaThis paper first employs and develops an exact wave-based vibration analysis approach to investigate a finite Timoshenko beam carrying periodic two-degree-of-freedom (2-DOF) uncoupled force-moment type resonators. In the approach, vibrations are described as structural waves that propagate along uniform structural elements and reflected and transmitted at structural discontinuities. Each uncoupled force-moment type resonator is considered as a cell which injects waves into the distributed beam through the transverse force and the bending moment at the attached point. By assembling wave relations of the cells into the beam, the forced vibration problem of the locally resonant (LR) structure is turned to be the solution to a related set of matrix equations. In addition, the parametric analysis provides an efficient method to obtain wide low-frequency range band-gaps. Accuracy of the proposed wave-based vibration analysis approach is demonstrated by the simulated and measured results of two sets of beam-like resonator samples.https://www.mdpi.com/2073-4352/10/12/1132locally resonant phononic crystaluncoupled force-moment resonatorTimoshenko beamwave-based vibration analysis |
| spellingShingle | Hangyuan Lv Yimin Zhang A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type Resonators Crystals locally resonant phononic crystal uncoupled force-moment resonator Timoshenko beam wave-based vibration analysis |
| title | A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type Resonators |
| title_full | A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type Resonators |
| title_fullStr | A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type Resonators |
| title_full_unstemmed | A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type Resonators |
| title_short | A Wave-Based Vibration Analysis of a Finite Timoshenko Locally Resonant Beam Suspended with Periodic Uncoupled Force-Moment Type Resonators |
| title_sort | wave based vibration analysis of a finite timoshenko locally resonant beam suspended with periodic uncoupled force moment type resonators |
| topic | locally resonant phononic crystal uncoupled force-moment resonator Timoshenko beam wave-based vibration analysis |
| url | https://www.mdpi.com/2073-4352/10/12/1132 |
| work_keys_str_mv | AT hangyuanlv awavebasedvibrationanalysisofafinitetimoshenkolocallyresonantbeamsuspendedwithperiodicuncoupledforcemomenttyperesonators AT yiminzhang awavebasedvibrationanalysisofafinitetimoshenkolocallyresonantbeamsuspendedwithperiodicuncoupledforcemomenttyperesonators AT hangyuanlv wavebasedvibrationanalysisofafinitetimoshenkolocallyresonantbeamsuspendedwithperiodicuncoupledforcemomenttyperesonators AT yiminzhang wavebasedvibrationanalysisofafinitetimoshenkolocallyresonantbeamsuspendedwithperiodicuncoupledforcemomenttyperesonators |