Active metamaterials with broadband controllable stiffness for tunable band gaps and non-reciprocal wave propagation
One dimensional active metamaterials with broadband controllable bending stiffness are studied in this paper. The key unit of the active metamaterials is composed of a host beam and piezoelectric patches bonded on the beam surfaces. These patches serve as sensors or actuators. An appropriate feedbac...
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| Published in | Smart materials and structures Vol. 28; no. 6; pp. 65025 - 13 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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IOP Publishing
01.06.2019
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| Abstract | One dimensional active metamaterials with broadband controllable bending stiffness are studied in this paper. The key unit of the active metamaterials is composed of a host beam and piezoelectric patches bonded on the beam surfaces. These patches serve as sensors or actuators. An appropriate feedback control law is proposed in order to change the bending stiffness of the active unit. The input of the control law is the voltage on the sensors, the output is the voltage applied on the actuators. Due to the control, bending stiffness of the active unit is (1 + ) times of that of the bare host beam, being a design parameter in the control law. The bending stiffness can be tuned to desired value by changing . The performances of the controlled bending stiffness are analytically and numerically studied, the stability issues are also discussed. The active units are first used in a spatial periodic waveguide to have tunable band gaps, then they are integrated in a spatiotemporal periodic waveguide to realize non-reciprocal wave propagation. Performances of the two waveguides are numerically studied. |
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| AbstractList | One dimensional active metamaterials with broadband controllable bending stiffness are studied in this paper. The key unit of the active metamaterials is composed of a host beam and piezoelectric patches bonded on the beam surfaces. These patches serve as sensors or actuators. An appropriate feedback control law is proposed in order to change the bending stiffness of the active unit. The input of the control law is the voltage on the sensors, the output is the voltage applied on the actuators. Due to the control, bending stiffness of the active unit is (1 + ) times of that of the bare host beam, being a design parameter in the control law. The bending stiffness can be tuned to desired value by changing . The performances of the controlled bending stiffness are analytically and numerically studied, the stability issues are also discussed. The active units are first used in a spatial periodic waveguide to have tunable band gaps, then they are integrated in a spatiotemporal periodic waveguide to realize non-reciprocal wave propagation. Performances of the two waveguides are numerically studied. One dimensional active metamaterials with broadband controllable bending stiffness are studied in this paper. The key unit of the active metamaterials is composed of a host beam and piezoelectric patches bonded on the beam surfaces. These patches serve as sensors or actuators. An appropriate feedback control law is proposed in order to change the bending stiffness of the active unit. The input of the control law is the voltage on the sensors, the output is the voltage applied on the actuators. Due to the control, bending stiffness of the active unit is (1+α) times of that of the bare host beam, α being a design parameter in the control law. The bending stiffness can be tuned to desired value by changing α. The performances of the controlled bending stiffness are analytically and numerically studied, the stability issues are also discussed. The active units are first used in a spatial periodic waveguide to have tunable band gaps, then they are integrated in a spatiotemporal periodic waveguide to realize non-reciprocal wave propagation. Performances of the two waveguides are numerically studied. |
| Author | Sadoulet-Reboul, Emeline Ouisse, Morvan Matten, Gaël Yi, Kaijun |
| Author_xml | – sequence: 1 givenname: Kaijun orcidid: 0000-0003-2215-5479 surname: Yi fullname: Yi, Kaijun email: kaijun.yi@femto-st.fr organization: Univ. Bourgogne Franch-Comté , FEMTO-ST Institute, CNRS/UFC/ENSMM/UTBM, Department of Applied Mechanics, 24 rue de l'épitaphe, F-25000, Besançon, France – sequence: 2 givenname: Morvan surname: Ouisse fullname: Ouisse, Morvan organization: Univ. Bourgogne Franch-Comté , FEMTO-ST Institute, CNRS/UFC/ENSMM/UTBM, Department of Applied Mechanics, 24 rue de l'épitaphe, F-25000, Besançon, France – sequence: 3 givenname: Emeline surname: Sadoulet-Reboul fullname: Sadoulet-Reboul, Emeline organization: Univ. Bourgogne Franch-Comté , FEMTO-ST Institute, CNRS/UFC/ENSMM/UTBM, Department of Applied Mechanics, 24 rue de l'épitaphe, F-25000, Besançon, France – sequence: 4 givenname: Gaël surname: Matten fullname: Matten, Gaël organization: Univ. Bourgogne Franch-Comté , FEMTO-ST Institute, CNRS/UFC/ENSMM/UTBM, Department of Applied Mechanics, 24 rue de l'épitaphe, F-25000, Besançon, France |
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| SubjectTerms | feedback control Mechanics metamaterials non-reciprocal wave propagation Physics piezoelectric materials vibration |
| Title | Active metamaterials with broadband controllable stiffness for tunable band gaps and non-reciprocal wave propagation |
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