New low-frequency broadband metamaterials based on inerter and novel large-linear negative stiffness mechanism
Source abstract
Abstract
Elastic metamaterials are recently emerging structural–functional materials, which provide a new way for the control of elastic waves. However, the current low-frequency broadband performance is yet to be further improved. Herein, a novel large-linear negative stiffness mechanism is first proposed, which is capable of generating constant negative stiffness; the influences of the relevant structural parameters are discussed, and a design method for this mechanism is also given. Subsequently, a new type of elastic metamaterial is designed by combining the inerter and the proposed negative stiffness mechanism; a parametric programming method with general characteristics is proposed to guide the selection of unit-cell parameters, and it is revealed that only at most one negative stiffness spring is allowed to exist in the system. Finally, the low-frequency broadband characteristics of the metamaterial are investigated. It is found that the proposed metamaterial can produce a basin-like attenuation band, i.e., the attenuation curve at the bottom of the attenuation band is a stable flat line; in a given frequency range, the introduction of negative stiffness can further increase the attenuation strength of the metamaterial basin-like band.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Acoustic Wave Phenomena Research · Vibration Control and Rheological Fluids · Cellular and Composite Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Harbin Engineering University, College of Mechanical and Electrical Engineering 1 , 150001 Harbin, China
Chizhou Vocational and Technical College, Department of Electromechanical and Automobile 2 , 247000 Chizhou, China
Qiqihar University, College of Mechanical and Electrical Engineering 3 , 161006 Qiqihar, China
Funding
National Natural Science Foundation of China
References (44)
Show source-provided references
1. Transformation metamaterials10.1002/adma.202005489 ↗
2. Recent advances in topological elastic metamaterials10.1088/1361-648x/ac27d8 ↗
3. Elastic and acoustic wave band structure10.1016/0022-460x(92)90059-7 ↗
4. Classical band structure of periodic elastic composites10.1142/s0217979296000398 ↗
5. Locally resonant sonic materials10.1126/science.289.5485.1734 ↗
6. A review of research on seismic metamaterials10.1002/adem.201901148 ↗
7. Harnessing deformation to switch on and off the propagation of sound10.1002/adma.201504469 ↗
8. Theory for tailoring sonic devices: Diffraction dominates over refraction10.1103/PhysRevE.67.046606 ↗
9. Elastic metamaterial insulator for broadband low-frequency flexural vibration shielding10.1103/physrevapplied.8.054034 ↗
10. Harnessing multi-layered soil to design seismic metamaterials with ultralow frequency band gaps10.1016/j.matdes.2019.107813 ↗
11. Low-frequency band gap mechanism of torsional vibration of lightweight elastic metamaterial shafts10.1051/epjap/2016160169 ↗
12. Investigation of flexural wave band gaps in a locally resonant metamaterial with plate-like resonators10.1016/j.wavemoti.2019.102492 ↗
13. Low-frequency vibration and radiation performance of a locally resonant plate attached with periodic multiple resonators10.3390/app10082843 ↗
14. Free and steady forced vibration characteristics of elastic metamaterial beam10.1063/1.5139715 ↗
15. Rayleigh waves in locally resonant metamaterials10.1016/j.ijmecsci.2020.106250 ↗
16. Folded sheet resonators that aim at low frequency attenuation of surface elastic waves in solids10.1063/1.5135755 ↗
17. Research on dual-functional characteristics of piezoelectric metamaterial beams for vibration reduction and power generation10.1063/5.0083987 ↗
18. Design of elastic metamaterials with ultra-wide low-frequency stopbands via quantitative local resonance analysis10.1016/j.tws.2021.107969 ↗
19. An approach to broaden the low-frequency bandwidth of sound insulation by regulating dynamic effective parameters of acoustic metamaterials10.1088/1361-6463/ab07f9 ↗
20. Formation of quasi-static stop band in a new one-dimensional metamaterial10.1007/s00419-022-02146-w ↗
21. Elastic metamaterials with low-frequency passbands based on lattice system with on-site potential10.1115/1.4032326 ↗
22. Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness10.1016/j.ijmecsci.2011.11.012 ↗
23. Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: A theoretical and experimental study10.1016/j.jsv.2013.10.026 ↗
24. Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic10.1016/j.jsv.2013.01.034 ↗
25. Low-frequency band gaps in a metamaterial rod by negative-stiffness mechanisms: Design and experimental validation10.1063/1.5099425 ↗
26. Metamaterial with local resonators coupled by negative stiffness springs for enhanced vibration suppression10.1115/1.4043827 ↗
27. Broadband low-frequency sound insulation performance of quasi-zero stiffness local resonant acoustic metamaterial plate10.7498/aps.70.20211203 ↗
28. Membrane acoustic metamaterial absorbers with magnetic negative stiffness10.1121/1.4976042 ↗
29. Bandgap characteristics and wave attenuation of metamaterials based on negative-stiffness dynamic vibration absorbers10.1016/j.jsv.2021.116088 ↗
30. Wave propagation in elastic and damped structures with stabilized negative-stiffness components10.1016/j.jmps.2017.04.007 ↗
31. Optimal finite locally resonant metafoundations enhanced with nonlinear negative stiffness elements for seismic protection of large storage tanks10.1016/j.jsv.2020.115488 ↗
32. Local resonator with high-static-low-dynamic stiffness for lowering band gaps of flexural wave in beams10.1063/1.4974299 ↗
33. Experimental testing and analysis of inerter devices10.1115/1.3023120 ↗
34. Energy analysis and optimization of inerter-based systems10.1177/1077546320987730 ↗
35. Design and testing of a frictionless mechanical inerter device using living-hinges10.1016/j.jfranklin.2019.01.036 ↗
36. Formulation of an efficient continuum mechanics-based model to study wave propagation in one-dimensional diatomic lattices10.1016/j.mechrescom.2019.103467 ↗
37. Extremely low frequency band gaps of beam-like inertial amplification metamaterials10.1142/s0217984917502517 ↗
38. Inertial amplified resonators for tunable metasurfaces10.1007/s11012-019-01020-4 ↗
39. Seismic metamaterials: Generating low-frequency bandgaps induced by inertial amplification10.1016/j.ijmecsci.2022.107224 ↗
40. An ultrawide-zero-frequency bandgap metamaterial with negative moment of inertia and stiffness10.1088/1367-2630/abef28 ↗
41. Band-gap properties of elastic metamaterials with inerter-based dynamic vibration absorbers10.1115/1.4039898 ↗
42. A nonlinear resonator with inertial amplification for very low-frequency flexural wave attenuations in beams10.1007/s11071-019-04812-1 ↗
43. Constant torque mechanisms: A survey10.1115/1.4054565 ↗
44. Design and modeling of constant-force mechanisms: A survey10.1016/j.mechmachtheory.2017.08.017 ↗