Unilateral contact for a free mass in mass impact based metamaterial unit cell for vibration control
This paper presents a novel free mass in mass impact-based metamaterial for vibration control. An LCP-based algorithm is thoroughly discussed and presented to model a unilateral contact between the inner free mass impacting against the outer mass upon excitation. Firstly, the proposed solver is vali...
Saved in:
| Published in | International journal of non-linear mechanics Vol. 165; p. 104822 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.10.2024
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7462 1878-5638 |
| DOI | 10.1016/j.ijnonlinmec.2024.104822 |
Cover
| Abstract | This paper presents a novel free mass in mass impact-based metamaterial for vibration control. An LCP-based algorithm is thoroughly discussed and presented to model a unilateral contact between the inner free mass impacting against the outer mass upon excitation. Firstly, the proposed solver is validated with the known concepts of physics. Further, a comprehensive investigation has been performed on the transmission spectrum and effective mass of the proposed unit cell, for varying radius of inner mass, coefficient of restitution and mass ratio. A non-linearity is developed in the system due to the impact between the two masses, which further causes an energy transfer from the outer mass to the inner mass. Therefore, upon excitation, the displacement in the outer mass reduces and hence the transmittance. The proposed unit cell also shows a prospective negative effective mass which can prove helpful for efficient vibration control.
•A novel configuration of metamaterial unit cell for vibration control involving a free mass impacting with outer mass.•An LCP based solver by modeling unilateral contact between the two masses.•Investigation of change in vibration transmission and effective mass due to impact between the two masses. |
|---|---|
| AbstractList | This paper presents a novel free mass in mass impact-based metamaterial for vibration control. An LCP-based algorithm is thoroughly discussed and presented to model a unilateral contact between the inner free mass impacting against the outer mass upon excitation. Firstly, the proposed solver is validated with the known concepts of physics. Further, a comprehensive investigation has been performed on the transmission spectrum and effective mass of the proposed unit cell, for varying radius of inner mass, coefficient of restitution and mass ratio. A non-linearity is developed in the system due to the impact between the two masses, which further causes an energy transfer from the outer mass to the inner mass. Therefore, upon excitation, the displacement in the outer mass reduces and hence the transmittance. The proposed unit cell also shows a prospective negative effective mass which can prove helpful for efficient vibration control.
•A novel configuration of metamaterial unit cell for vibration control involving a free mass impacting with outer mass.•An LCP based solver by modeling unilateral contact between the two masses.•Investigation of change in vibration transmission and effective mass due to impact between the two masses. |
| ArticleNumber | 104822 |
| Author | Sethi, Muskaan Manna, Bappaditya Banerjee, Arnab |
| Author_xml | – sequence: 1 givenname: Muskaan orcidid: 0000-0002-2437-386X surname: Sethi fullname: Sethi, Muskaan email: muskaansethi1106@gmail.com – sequence: 2 givenname: Arnab surname: Banerjee fullname: Banerjee, Arnab – sequence: 3 givenname: Bappaditya surname: Manna fullname: Manna, Bappaditya |
| BookMark | eNqNkMtqwzAQRUVJoUnaf1A_wKkkS7KyLKEvCHTTrIU8HoOMLQdJDfTvaydZdNnVwB3O5XJWZBHGgIQ8crbhjOunbuO7Kep9GBA2ggk55dIIcUOW3FSmULo0C7JkTLCiklrckVVKHZtYyaolaQ7B9y5jdD2FMWQHmbZjpI62EZEOLiXqw_UOx_ldu4QNHTC7YQb9RH4Hnylg35_Zk6-jy34M58Y49vfktnV9wofrXZPD68vX7r3Yf7597J73BQitclFW2rRc6WprSgBTg3Jyq8E4htPwmjvZKKi5YoppkCCUBi7BVLxUvCprWa7J9tILcUwpYmuP0Q8u_ljO7KzLdvaPLjvrshddE7u7sDgNPHmMNoHHANj4iJBtM_p_tPwCqo18MA |
| Cites_doi | 10.1007/s004190050240 10.1121/1.4744977 10.1038/nphoton.2007.28 10.1103/PhysRevE.91.023208 10.1007/s11071-016-2824-z 10.1016/j.ymssp.2022.110036 10.1115/1.4062272 10.1063/1.4998446 10.1016/j.ijnonlinmec.2017.01.005 10.1016/j.apm.2023.04.019 10.1126/science.1096796 10.1016/j.wavemoti.2016.02.003 10.1016/j.wavemoti.2018.04.002 10.1080/13873954.2015.1016976 10.1016/j.physleta.2011.02.044 10.1115/1.4000784 10.1115/1.4026911 10.1121/1.389847 10.1002/adma.201706348 10.1103/PhysRevE.91.033208 10.1126/science.1125907 10.1177/1045389X20910261 10.1016/0955-7997(91)90013-J 10.1115/1.4034770 10.1002/admt.202000787 10.1016/j.ymssp.2024.111669 10.1016/j.ijnonlinmec.2022.104035 10.1103/PhysRevB.86.155116 10.1007/s10483-021-2684-8 10.1007/978-3-319-69480-1_10 10.1088/1367-2630/10/4/043020 10.1016/j.ijnonlinmec.2007.09.007 10.1007/s11044-007-9064-4 10.1103/PhysRevApplied.2.054007 10.1016/j.ijnonlinmec.2018.01.013 10.1016/j.jsv.2017.08.009 10.1016/j.ymssp.2021.107945 10.1007/s11071-020-06008-4 10.1177/1081286517735695 |
| ContentType | Journal Article |
| Copyright | 2024 Elsevier Ltd |
| Copyright_xml | – notice: 2024 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.ijnonlinmec.2024.104822 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Mathematics |
| EISSN | 1878-5638 |
| ExternalDocumentID | 10_1016_j_ijnonlinmec_2024_104822 S0020746224001872 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 29J 4.4 457 4G. 5GY 5VS 6TJ 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABFNM ABFRF ABJNI ABMAC ABNEU ABXDB ACDAQ ACFVG ACGFO ACGFS ACIWK ACNNM ACRLP ADBBV ADEZE ADIYS ADMUD ADTZH AEBSH AECPX AEFWE AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AI. AIEXJ AIKHN AITUG AIVDX AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BBWZM BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q G8K GBLVA HMJ HMV HVGLF HZ~ H~9 IHE J1W JJJVA KOM LY7 M25 M38 M41 MO0 N9A NDZJH O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. PQQKQ Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SET SEW SME SPC SPCBC SPD SPG SSQ SST SSZ T5K T9H TN5 UNMZH VH1 WUQ XPP ZMT ~02 ~G- AATTM AAXKI AAYWO AAYXX ABDPE ABWVN ACLOT ACRPL ADNMO AEIPS AFJKZ AGQPQ AIIUN ANKPU APXCP CITATION EFKBS EFLBG ~HD |
| ID | FETCH-LOGICAL-c265t-3768f1567983cc8bc5a496c8a0e462b1a4d5cb150506c4c256c14c87135173b43 |
| IEDL.DBID | .~1 |
| ISSN | 0020-7462 |
| IngestDate | Wed Oct 01 04:43:22 EDT 2025 Sat Jul 20 16:35:47 EDT 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Unilateral contact Impact Transmission spectrum Effective mass Metamaterial Linear complementary problem |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c265t-3768f1567983cc8bc5a496c8a0e462b1a4d5cb150506c4c256c14c87135173b43 |
| ORCID | 0000-0002-2437-386X |
| ParticipantIDs | crossref_primary_10_1016_j_ijnonlinmec_2024_104822 elsevier_sciencedirect_doi_10_1016_j_ijnonlinmec_2024_104822 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2024-10-01 |
| PublicationDateYYYYMMDD | 2024-10-01 |
| PublicationDate_xml | – month: 10 year: 2024 text: 2024-10-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationTitle | International journal of non-linear mechanics |
| PublicationYear | 2024 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Yu, Fang, Huang, Wang (b6) 2018; 30 Banerjee, Chanda, Das (b37) 2016; 85 Ji, Luo, Ye (b10) 2021; 161 Xia, Ruzzene, Erturk (b25) 2020; 102 Martin, Kadic, Schittny, Bückmann, Wegener (b8) 2012; 86 Schiehlen (b36) 2007; 18 Liao, Luan, Wang, Liu, Yao, Fu (b7) 2021; 6 Banerjee, Das, Calius (b18) 2017; 122 Mitsopoulou-Papasoglou, Panagiotopoulos, Zervas (b41) 1991; 8 Banerjee, Das, Calius (b34) 2017; 90 Zhao, Zhang, Zhao, Deng (b21) 2021; 42 Barchiesi, Spagnuolo, Placidi (b14) 2019; 24 Al Ba’ba’a, Nouh, Singh (b19) 2017; 410 Lydon, Theocharis, Daraio (b32) 2015; 91 Huang, Sun (b16) 2010; 132 Banerjee, Calius, Das (b27) 2016; vol. 50671 Pfeiffer (b39) 1999; 69 Pfeiffer, Glocker (b42) 1996 Yao, Zhou, Hu (b17) 2008; 10 Lazarov, Jensen (b28) 2007; 42 Dwivedi, Banerjee, Bhattacharya (b13) 2020; 31 Chen, Meng, Zhang, Jiang, Wang (b22) 2016; 63 Smith, Pendry, Wiltshire (b3) 2004; 305 Sethi, Banerjee, Manna (b29) 2024; 220 Bonanomi, Theocharis, Daraio (b33) 2015; 91 Wang, Wan, Hong, Liu, Li (b20) 2023; 188 An, Fan, Zhang (b24) 2018; 80 Hussein, Leamy, Ruzzene (b2) 2014; 66 Hodges, Woodhouse (b26) 1983; 74 Sharma, Banerjee (b11) 2023; 145 Huang, Sun (b15) 2012; 132 Xiao, Mace, Wen, Wen (b23) 2011; 375 Banerjee, Das, Calius (b35) 2018 Sethi, Banerjee, Manna (b38) 2023; 120 Cai, Chettiar, Kildishev, Shalaev (b5) 2007; 1 Banerjee (b1) 2011 Hu, Tang, Banerjee, Das (b12) 2017; 139 Specker, Buchholz, Dietmayer (b40) 2015; 21 Banerjee, Calius, Das (b30) 2018; 101 Banerjee, Sethi, Manna (b31) 2022; 144 Pendry, Schurig, Smith (b4) 2006; 312 Kadic, Bückmann, Schittny, Gumbsch, Wegener (b9) 2014; 2 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b18) 2017; 122 Barchiesi (10.1016/j.ijnonlinmec.2024.104822_b14) 2019; 24 Huang (10.1016/j.ijnonlinmec.2024.104822_b15) 2012; 132 Yu (10.1016/j.ijnonlinmec.2024.104822_b6) 2018; 30 Hu (10.1016/j.ijnonlinmec.2024.104822_b12) 2017; 139 Smith (10.1016/j.ijnonlinmec.2024.104822_b3) 2004; 305 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b37) 2016; 85 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b27) 2016; vol. 50671 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b34) 2017; 90 Mitsopoulou-Papasoglou (10.1016/j.ijnonlinmec.2024.104822_b41) 1991; 8 Pfeiffer (10.1016/j.ijnonlinmec.2024.104822_b42) 1996 Dwivedi (10.1016/j.ijnonlinmec.2024.104822_b13) 2020; 31 Zhao (10.1016/j.ijnonlinmec.2024.104822_b21) 2021; 42 Lazarov (10.1016/j.ijnonlinmec.2024.104822_b28) 2007; 42 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b35) 2018 Schiehlen (10.1016/j.ijnonlinmec.2024.104822_b36) 2007; 18 Martin (10.1016/j.ijnonlinmec.2024.104822_b8) 2012; 86 Liao (10.1016/j.ijnonlinmec.2024.104822_b7) 2021; 6 Yao (10.1016/j.ijnonlinmec.2024.104822_b17) 2008; 10 Sethi (10.1016/j.ijnonlinmec.2024.104822_b29) 2024; 220 Wang (10.1016/j.ijnonlinmec.2024.104822_b20) 2023; 188 Xia (10.1016/j.ijnonlinmec.2024.104822_b25) 2020; 102 Huang (10.1016/j.ijnonlinmec.2024.104822_b16) 2010; 132 Sethi (10.1016/j.ijnonlinmec.2024.104822_b38) 2023; 120 Hussein (10.1016/j.ijnonlinmec.2024.104822_b2) 2014; 66 An (10.1016/j.ijnonlinmec.2024.104822_b24) 2018; 80 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b1) 2011 Pendry (10.1016/j.ijnonlinmec.2024.104822_b4) 2006; 312 Xiao (10.1016/j.ijnonlinmec.2024.104822_b23) 2011; 375 Cai (10.1016/j.ijnonlinmec.2024.104822_b5) 2007; 1 Bonanomi (10.1016/j.ijnonlinmec.2024.104822_b33) 2015; 91 Ji (10.1016/j.ijnonlinmec.2024.104822_b10) 2021; 161 Specker (10.1016/j.ijnonlinmec.2024.104822_b40) 2015; 21 Pfeiffer (10.1016/j.ijnonlinmec.2024.104822_b39) 1999; 69 Chen (10.1016/j.ijnonlinmec.2024.104822_b22) 2016; 63 Lydon (10.1016/j.ijnonlinmec.2024.104822_b32) 2015; 91 Hodges (10.1016/j.ijnonlinmec.2024.104822_b26) 1983; 74 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b30) 2018; 101 Banerjee (10.1016/j.ijnonlinmec.2024.104822_b31) 2022; 144 Kadic (10.1016/j.ijnonlinmec.2024.104822_b9) 2014; 2 Sharma (10.1016/j.ijnonlinmec.2024.104822_b11) 2023; 145 Al Ba’ba’a (10.1016/j.ijnonlinmec.2024.104822_b19) 2017; 410 |
| References_xml | – volume: 10 year: 2008 ident: b17 article-title: Experimental study on negative effective mass in a 1D mass–spring system publication-title: New J. Phys. – volume: 122 year: 2017 ident: b18 article-title: Frequency graded 1D metamaterials: A study on the attenuation bands publication-title: J. Appl. Phys. – volume: 161 year: 2021 ident: b10 article-title: Vibration control based metamaterials and origami structures: A state-of-the-art review publication-title: Mech. Syst. Signal Process. – volume: 91 year: 2015 ident: b33 article-title: Wave propagation in granular chains with local resonances publication-title: Phys. Rev. E – volume: 66 year: 2014 ident: b2 article-title: Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook publication-title: Appl. Mech. Rev. – volume: 139 year: 2017 ident: b12 article-title: Metastructure with piezoelectric element for simultaneous vibration suppression and energy harvesting publication-title: J. Vib. Acoust. – volume: 42 start-page: 1186 year: 2007 end-page: 1193 ident: b28 article-title: Low-frequency band gaps in chains with attached non-linear oscillators publication-title: Int. J. Non-Linear Mech. – volume: 42 start-page: 53 year: 2021 end-page: 64 ident: b21 article-title: Multi-resonator coupled metamaterials for broadband vibration suppression publication-title: Appl. Math. Mech. – volume: 85 start-page: 2207 year: 2016 end-page: 2231 ident: b37 article-title: Oblique frictional unilateral contacts perceived in curved bridges publication-title: Nonlinear Dynam. – volume: 24 start-page: 212 year: 2019 end-page: 234 ident: b14 article-title: Mechanical metamaterials: A state of the art publication-title: Math. Mech. Solids – start-page: 309 year: 2018 end-page: 332 ident: b35 article-title: An exact solution technique for impact oscillators publication-title: Nonlinear Approaches Eng. Appl.: Energy, Vib. Modern Appl. – volume: 63 start-page: 111 year: 2016 end-page: 119 ident: b22 article-title: Resonance-coupling effect on broad band gap formation in locally resonant sonic metamaterials publication-title: Wave Motion – year: 1996 ident: b42 article-title: Multibody Dynamics with Unilateral Contacts – volume: 144 year: 2022 ident: b31 article-title: Vibration transmission through the frictional mass-in-mass metamaterial: An analytical investigation publication-title: Int. J. Non-Linear Mech. – volume: 305 start-page: 788 year: 2004 end-page: 792 ident: b3 article-title: Metamaterials and negative refractive index publication-title: Science – volume: 102 start-page: 1285 year: 2020 end-page: 1296 ident: b25 article-title: Bistable attachments for wideband nonlinear vibration attenuation in a metamaterial beam publication-title: Nonlinear Dynam. – volume: 91 year: 2015 ident: b32 article-title: Nonlinear resonances and energy transfer in finite granular chains publication-title: Phys. Rev. E – volume: 220 start-page: 111669 year: 2024 ident: b29 article-title: Vibration transmission through a cantilever beam in mass impacting metamaterial: an analytical investigation and experimentation publication-title: Mech. Syst. Signal Process. – volume: 31 start-page: 1076 year: 2020 end-page: 1090 ident: b13 article-title: Simultaneous energy harvesting and vibration attenuation in piezo-embedded negative stiffness metamaterial publication-title: J. Intell. Mater. Syst. Struct. – volume: 312 start-page: 1780 year: 2006 end-page: 1782 ident: b4 article-title: Controlling electromagnetic fields publication-title: Science – volume: 8 start-page: 192 year: 1991 end-page: 199 ident: b41 article-title: Dynamic boundary integral “equation” method for unilateral contact problems publication-title: Eng. Anal. Bound. Elements – volume: 120 start-page: 612 year: 2023 end-page: 635 ident: b38 article-title: Unilateral frictional contact between a rigid wheel traversing on a flexible beam: An analytical investigation publication-title: Appl. Math. Model. – volume: 21 start-page: 509 year: 2015 end-page: 534 ident: b40 article-title: Modelling of unilateral constraints using power-based restriction functions within Lagrangian mechanics publication-title: Math. Comput. Model. Dyn. Syst. – volume: 74 start-page: 894 year: 1983 end-page: 905 ident: b26 article-title: Vibration isolation from irregularity in a nearly periodic structure: Theory and measurements publication-title: J. Acoust. Soc. Am. – volume: 30 year: 2018 ident: b6 article-title: Magnetoactive acoustic metamaterials publication-title: Adv. Mater. – volume: 132 year: 2010 ident: b16 article-title: Band gaps in a multiresonator acoustic metamaterial publication-title: J. Vib. Acoust. – volume: 410 start-page: 429 year: 2017 end-page: 446 ident: b19 article-title: Formation of local resonance band gaps in finite acoustic metamaterials: A closed-form transfer function model publication-title: J. Sound Vib. – volume: 69 start-page: 503 year: 1999 end-page: 527 ident: b39 article-title: Unilateral problems of dynamics publication-title: Arch. Appl. Mech. – volume: 132 start-page: 2887 year: 2012 end-page: 2895 ident: b15 article-title: Anomalous wave propagation in a one-dimensional acoustic metamaterial having simultaneously negative mass density and Young’s modulus publication-title: J. Acoust. Soc. Am. – volume: 188 year: 2023 ident: b20 article-title: Enhancement of the vibration attenuation characteristics in local resonance metamaterial beams: Theory and experiment publication-title: Mech. Syst. Signal Process. – volume: vol. 50671 year: 2016 ident: b27 article-title: The effects of cubic stiffness nonlinearity on the attenuation bandwidth of 1D elasto-dynamic metamaterials publication-title: ASME International Mechanical Engineering Congress and Exposition – volume: 145 year: 2023 ident: b11 article-title: Design and kinematics of origami inspired non-prismatic foldable truss modules publication-title: J. Mech. Des. – volume: 101 start-page: 8 year: 2018 end-page: 15 ident: b30 article-title: An impact based mass-in-mass unit as a building block of wideband nonlinear resonating metamaterial publication-title: Int. J. Non-Linear Mech. – volume: 18 start-page: 3 year: 2007 end-page: 13 ident: b36 article-title: Research trends in multibody system dynamics publication-title: Multibody Syst. Dyn. – volume: 2 year: 2014 ident: b9 article-title: Pentamode metamaterials with independently tailored bulk modulus and mass density publication-title: Phys. Rev. Appl. – volume: 86 year: 2012 ident: b8 article-title: Phonon band structures of three-dimensional pentamode metamaterials publication-title: Phys. Rev. B – volume: 80 start-page: 69 year: 2018 end-page: 81 ident: b24 article-title: Elastic wave and vibration bandgaps in two-dimensional acoustic metamaterials with resonators and disorders publication-title: Wave Motion – year: 2011 ident: b1 article-title: An Introduction to Metamaterials and Waves in Composites – volume: 1 start-page: 224 year: 2007 end-page: 227 ident: b5 article-title: Optical cloaking with metamaterials publication-title: Nat. Photonics – volume: 6 year: 2021 ident: b7 article-title: Acoustic metamaterials: A review of theories, structures, fabrication approaches, and applications publication-title: Adv. Mater. Technol. – volume: 375 start-page: 1485 year: 2011 end-page: 1491 ident: b23 article-title: Formation and coupling of band gaps in a locally resonant elastic system comprising a string with attached resonators publication-title: Phys. Lett. A – volume: 90 start-page: 137 year: 2017 end-page: 146 ident: b34 article-title: Vibration transmission through an impacting mass-in-mass unit, an analytical investigation publication-title: Int. J. Non-Linear Mech. – volume: 69 start-page: 503 year: 1999 ident: 10.1016/j.ijnonlinmec.2024.104822_b39 article-title: Unilateral problems of dynamics publication-title: Arch. Appl. Mech. doi: 10.1007/s004190050240 – volume: 132 start-page: 2887 issue: 4 year: 2012 ident: 10.1016/j.ijnonlinmec.2024.104822_b15 article-title: Anomalous wave propagation in a one-dimensional acoustic metamaterial having simultaneously negative mass density and Young’s modulus publication-title: J. Acoust. Soc. Am. doi: 10.1121/1.4744977 – volume: 1 start-page: 224 issue: 4 year: 2007 ident: 10.1016/j.ijnonlinmec.2024.104822_b5 article-title: Optical cloaking with metamaterials publication-title: Nat. Photonics doi: 10.1038/nphoton.2007.28 – volume: 91 issue: 2 year: 2015 ident: 10.1016/j.ijnonlinmec.2024.104822_b32 article-title: Nonlinear resonances and energy transfer in finite granular chains publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.91.023208 – volume: 85 start-page: 2207 year: 2016 ident: 10.1016/j.ijnonlinmec.2024.104822_b37 article-title: Oblique frictional unilateral contacts perceived in curved bridges publication-title: Nonlinear Dynam. doi: 10.1007/s11071-016-2824-z – volume: 188 year: 2023 ident: 10.1016/j.ijnonlinmec.2024.104822_b20 article-title: Enhancement of the vibration attenuation characteristics in local resonance metamaterial beams: Theory and experiment publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2022.110036 – volume: 145 issue: 7 year: 2023 ident: 10.1016/j.ijnonlinmec.2024.104822_b11 article-title: Design and kinematics of origami inspired non-prismatic foldable truss modules publication-title: J. Mech. Des. doi: 10.1115/1.4062272 – volume: 122 issue: 7 year: 2017 ident: 10.1016/j.ijnonlinmec.2024.104822_b18 article-title: Frequency graded 1D metamaterials: A study on the attenuation bands publication-title: J. Appl. Phys. doi: 10.1063/1.4998446 – volume: 90 start-page: 137 year: 2017 ident: 10.1016/j.ijnonlinmec.2024.104822_b34 article-title: Vibration transmission through an impacting mass-in-mass unit, an analytical investigation publication-title: Int. J. Non-Linear Mech. doi: 10.1016/j.ijnonlinmec.2017.01.005 – volume: 120 start-page: 612 year: 2023 ident: 10.1016/j.ijnonlinmec.2024.104822_b38 article-title: Unilateral frictional contact between a rigid wheel traversing on a flexible beam: An analytical investigation publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2023.04.019 – volume: 305 start-page: 788 issue: 5685 year: 2004 ident: 10.1016/j.ijnonlinmec.2024.104822_b3 article-title: Metamaterials and negative refractive index publication-title: Science doi: 10.1126/science.1096796 – volume: 63 start-page: 111 year: 2016 ident: 10.1016/j.ijnonlinmec.2024.104822_b22 article-title: Resonance-coupling effect on broad band gap formation in locally resonant sonic metamaterials publication-title: Wave Motion doi: 10.1016/j.wavemoti.2016.02.003 – volume: 80 start-page: 69 year: 2018 ident: 10.1016/j.ijnonlinmec.2024.104822_b24 article-title: Elastic wave and vibration bandgaps in two-dimensional acoustic metamaterials with resonators and disorders publication-title: Wave Motion doi: 10.1016/j.wavemoti.2018.04.002 – year: 2011 ident: 10.1016/j.ijnonlinmec.2024.104822_b1 – volume: 21 start-page: 509 issue: 6 year: 2015 ident: 10.1016/j.ijnonlinmec.2024.104822_b40 article-title: Modelling of unilateral constraints using power-based restriction functions within Lagrangian mechanics publication-title: Math. Comput. Model. Dyn. Syst. doi: 10.1080/13873954.2015.1016976 – volume: 375 start-page: 1485 issue: 12 year: 2011 ident: 10.1016/j.ijnonlinmec.2024.104822_b23 article-title: Formation and coupling of band gaps in a locally resonant elastic system comprising a string with attached resonators publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2011.02.044 – volume: 132 issue: 3 year: 2010 ident: 10.1016/j.ijnonlinmec.2024.104822_b16 article-title: Band gaps in a multiresonator acoustic metamaterial publication-title: J. Vib. Acoust. doi: 10.1115/1.4000784 – volume: 66 issue: 4 year: 2014 ident: 10.1016/j.ijnonlinmec.2024.104822_b2 article-title: Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook publication-title: Appl. Mech. Rev. doi: 10.1115/1.4026911 – volume: 74 start-page: 894 issue: 3 year: 1983 ident: 10.1016/j.ijnonlinmec.2024.104822_b26 article-title: Vibration isolation from irregularity in a nearly periodic structure: Theory and measurements publication-title: J. Acoust. Soc. Am. doi: 10.1121/1.389847 – volume: 30 issue: 21 year: 2018 ident: 10.1016/j.ijnonlinmec.2024.104822_b6 article-title: Magnetoactive acoustic metamaterials publication-title: Adv. Mater. doi: 10.1002/adma.201706348 – volume: 91 issue: 3 year: 2015 ident: 10.1016/j.ijnonlinmec.2024.104822_b33 article-title: Wave propagation in granular chains with local resonances publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.91.033208 – volume: 312 start-page: 1780 issue: 5781 year: 2006 ident: 10.1016/j.ijnonlinmec.2024.104822_b4 article-title: Controlling electromagnetic fields publication-title: Science doi: 10.1126/science.1125907 – volume: 31 start-page: 1076 issue: 8 year: 2020 ident: 10.1016/j.ijnonlinmec.2024.104822_b13 article-title: Simultaneous energy harvesting and vibration attenuation in piezo-embedded negative stiffness metamaterial publication-title: J. Intell. Mater. Syst. Struct. doi: 10.1177/1045389X20910261 – volume: 8 start-page: 192 issue: 4 year: 1991 ident: 10.1016/j.ijnonlinmec.2024.104822_b41 article-title: Dynamic boundary integral “equation” method for unilateral contact problems publication-title: Eng. Anal. Bound. Elements doi: 10.1016/0955-7997(91)90013-J – volume: 139 issue: 1 year: 2017 ident: 10.1016/j.ijnonlinmec.2024.104822_b12 article-title: Metastructure with piezoelectric element for simultaneous vibration suppression and energy harvesting publication-title: J. Vib. Acoust. doi: 10.1115/1.4034770 – volume: vol. 50671 year: 2016 ident: 10.1016/j.ijnonlinmec.2024.104822_b27 article-title: The effects of cubic stiffness nonlinearity on the attenuation bandwidth of 1D elasto-dynamic metamaterials – volume: 6 issue: 5 year: 2021 ident: 10.1016/j.ijnonlinmec.2024.104822_b7 article-title: Acoustic metamaterials: A review of theories, structures, fabrication approaches, and applications publication-title: Adv. Mater. Technol. doi: 10.1002/admt.202000787 – volume: 220 start-page: 111669 year: 2024 ident: 10.1016/j.ijnonlinmec.2024.104822_b29 article-title: Vibration transmission through a cantilever beam in mass impacting metamaterial: an analytical investigation and experimentation publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2024.111669 – volume: 144 year: 2022 ident: 10.1016/j.ijnonlinmec.2024.104822_b31 article-title: Vibration transmission through the frictional mass-in-mass metamaterial: An analytical investigation publication-title: Int. J. Non-Linear Mech. doi: 10.1016/j.ijnonlinmec.2022.104035 – volume: 86 issue: 15 year: 2012 ident: 10.1016/j.ijnonlinmec.2024.104822_b8 article-title: Phonon band structures of three-dimensional pentamode metamaterials publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.86.155116 – volume: 42 start-page: 53 issue: 1 year: 2021 ident: 10.1016/j.ijnonlinmec.2024.104822_b21 article-title: Multi-resonator coupled metamaterials for broadband vibration suppression publication-title: Appl. Math. Mech. doi: 10.1007/s10483-021-2684-8 – start-page: 309 year: 2018 ident: 10.1016/j.ijnonlinmec.2024.104822_b35 article-title: An exact solution technique for impact oscillators publication-title: Nonlinear Approaches Eng. Appl.: Energy, Vib. Modern Appl. doi: 10.1007/978-3-319-69480-1_10 – volume: 10 issue: 4 year: 2008 ident: 10.1016/j.ijnonlinmec.2024.104822_b17 article-title: Experimental study on negative effective mass in a 1D mass–spring system publication-title: New J. Phys. doi: 10.1088/1367-2630/10/4/043020 – volume: 42 start-page: 1186 issue: 10 year: 2007 ident: 10.1016/j.ijnonlinmec.2024.104822_b28 article-title: Low-frequency band gaps in chains with attached non-linear oscillators publication-title: Int. J. Non-Linear Mech. doi: 10.1016/j.ijnonlinmec.2007.09.007 – volume: 18 start-page: 3 year: 2007 ident: 10.1016/j.ijnonlinmec.2024.104822_b36 article-title: Research trends in multibody system dynamics publication-title: Multibody Syst. Dyn. doi: 10.1007/s11044-007-9064-4 – volume: 2 issue: 5 year: 2014 ident: 10.1016/j.ijnonlinmec.2024.104822_b9 article-title: Pentamode metamaterials with independently tailored bulk modulus and mass density publication-title: Phys. Rev. Appl. doi: 10.1103/PhysRevApplied.2.054007 – volume: 101 start-page: 8 year: 2018 ident: 10.1016/j.ijnonlinmec.2024.104822_b30 article-title: An impact based mass-in-mass unit as a building block of wideband nonlinear resonating metamaterial publication-title: Int. J. Non-Linear Mech. doi: 10.1016/j.ijnonlinmec.2018.01.013 – volume: 410 start-page: 429 year: 2017 ident: 10.1016/j.ijnonlinmec.2024.104822_b19 article-title: Formation of local resonance band gaps in finite acoustic metamaterials: A closed-form transfer function model publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2017.08.009 – volume: 161 year: 2021 ident: 10.1016/j.ijnonlinmec.2024.104822_b10 article-title: Vibration control based metamaterials and origami structures: A state-of-the-art review publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2021.107945 – year: 1996 ident: 10.1016/j.ijnonlinmec.2024.104822_b42 – volume: 102 start-page: 1285 year: 2020 ident: 10.1016/j.ijnonlinmec.2024.104822_b25 article-title: Bistable attachments for wideband nonlinear vibration attenuation in a metamaterial beam publication-title: Nonlinear Dynam. doi: 10.1007/s11071-020-06008-4 – volume: 24 start-page: 212 issue: 1 year: 2019 ident: 10.1016/j.ijnonlinmec.2024.104822_b14 article-title: Mechanical metamaterials: A state of the art publication-title: Math. Mech. Solids doi: 10.1177/1081286517735695 |
| SSID | ssj0016407 |
| Score | 2.4106822 |
| Snippet | This paper presents a novel free mass in mass impact-based metamaterial for vibration control. An LCP-based algorithm is thoroughly discussed and presented to... |
| SourceID | crossref elsevier |
| SourceType | Index Database Publisher |
| StartPage | 104822 |
| SubjectTerms | Effective mass Impact Linear complementary problem Metamaterial Transmission spectrum Unilateral contact |
| Title | Unilateral contact for a free mass in mass impact based metamaterial unit cell for vibration control |
| URI | https://dx.doi.org/10.1016/j.ijnonlinmec.2024.104822 |
| Volume | 165 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) customDbUrl: eissn: 1878-5638 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016407 issn: 0020-7462 databaseCode: GBLVA dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier ScienceDirect (LUT) customDbUrl: eissn: 1878-5638 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016407 issn: 0020-7462 databaseCode: ACRLP dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: ScienceDirect (Elsevier) customDbUrl: eissn: 1878-5638 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016407 issn: 0020-7462 databaseCode: .~1 dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: ScienceDirect Freedom Collection Journals customDbUrl: eissn: 1878-5638 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016407 issn: 0020-7462 databaseCode: AIKHN dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEB5KBdGD-MT6KCt4jU3S3WQDXkqxVKU9Wegt7G4m0NKUUlOP_nZ38qgVBA-ewoYMhG82s99mv5kBuMfEVZjI1DEGhcN5KhzFk8jBSCSph16ERbX90TgYTvjLVEwb0K9zYUhWWcX-MqYX0bq606nQ7KxmM8rx9alZRqGC9GRIcZjzkLoYPHxuZR4eHVSVMg_Xoaf34e5b4zWbL4uCFBlSNUOf04mn9P3f16iddWdwDEcVYWS98p1OoIHLUzjcKSNoR6Nt7dX3M0gsjVwoSixeMBKiK5Mzy0yZYukakWWWLbPZsroWOZKMlrKEZZirjAztlGQb-6kz-qtf2H7QpppcyCpp-zlMBk9v_aFT9VJwjB-InOKITO1eLYxk1xipjVA8CoxULlpQtGcdJIy27FC4geHGEiHjcSOLBn5hV_PuBTQtVngJzDIOo6XmIkGfhzZKSaSy-K5WUqso4C3wa_TiVVkyI661ZPN4B_KYII9LyFvwWOMc__B_bEP73-ZX_zO_hgMalSK9G2jm6w3eWrKR63Yxm9qw13t-HY6_AG_31gE |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFA5jgpcH8YrzGsHXurZL2hR8keGYuu1pg72FJE2hYx1jdj762z2nF50g-OBT6eVA-ZJ--dJ854SQOxu7ysYicYyx3GEs4Y5iceTYiMeJZ73IFtX2h6OgP2EvUz5tkG6dC4O2yor7S04v2Lq60q7QbC_TFHN8fdwso3BBeiIEHt5i3A9xBnb_8eXz8HClqvR5uA4-vk1uv01e6WxRVKTILJYz9BkueQrf_32Q2hh4egdkv1KM9LF8qUPSsIsjsrdRRxDOhl_FV9-OSQw6cq4ws3hO0YmuTE5BmlJFk5W1NAO5TNNFdSySJCmOZTHNbK4yDIQ-SdfwrVP8rV_EvuOsGtuQVt72EzLpPY27fafaTMExfsBzJBKRwGQtjETHGKENVywKjFCuBVC0By3EjQZ5yN3AMANKyHjMiGIHv7CjWeeUNAEre0YoSA6jhWY8tj4LgaaExbr4rlZCqyhgLeLX6MllWTND1maymdyAXCLksoS8RR5qnOWPDiCB2_8OP_9f-A3Z6Y-HAzl4Hr1ekF28Uzr2LkkzX63tFSiPXF8XPesTil_Xlg |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Unilateral+contact+for+a+free+mass+in+mass+impact+based+metamaterial+unit+cell+for+vibration+control&rft.jtitle=International+journal+of+non-linear+mechanics&rft.au=Sethi%2C+Muskaan&rft.au=Banerjee%2C+Arnab&rft.au=Manna%2C+Bappaditya&rft.date=2024-10-01&rft.pub=Elsevier+Ltd&rft.issn=0020-7462&rft.eissn=1878-5638&rft.volume=165&rft_id=info:doi/10.1016%2Fj.ijnonlinmec.2024.104822&rft.externalDocID=S0020746224001872 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7462&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7462&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7462&client=summon |