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Frequency Separation in Architected Structures using Inverse Methods

مجله مکانیک کاربردی و محاسباتی، دوره: 7، شماره: 4
Year: 1400
COI: JR_JACM-7-4_019
Language: EnglishView: 29
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Daniel J. Inman - Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, ۴۸۱۰۹, USA
Aishwarya Gunasekar - Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, ۴۸۱۰۹, USA


A major goal in the design of architected structures for low frequency vibration applications (also called mechanical metamaterials, metastructures, elastic metamaterials, auxetic structures) is the creation of regions in the frequency domain where vibration amplitudes are minimal, regardless of the source of excitation. The idea is to provide vibration suppression in manmade structures. The proposed effort is to examine approaches to produce straightforward methods of designing a given mechanical metamaterial to have a specified gap in the frequency spectrum by adjusting its local mass and stiffness values of the individual cells. Previous work in mechanical metamaterial design has focused on using optimization procedures concerned with global vibration suppression. Here our efforts are focused on frequency separation using two direct approaches by interpreting techniques from the areas of model updating and inverse eigenvalue solutions. Rather than examining the overall suppression of vibration, creating specific bandgaps eliminates the possibility of resonance occurring in a given range of excitation frequencies. 


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Inman, Daniel J. and Gunasekar, Aishwarya,1400,Frequency Separation in Architected Structures using Inverse Methods,

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  • Ji, J.C., Luo, Q.T., Ye, K., Vibration control based metamaterials ...
  • Yu, X., Zhou, J., Liang, H., Jiang, Z. and Wu, ...
  • Askari, M., Hutchins, D.A., Thomas, P.J., Astolfi, L., Watson, R.L., ...
  • Lim, C.W., Li, J.T. and Zhao, Z., Lightweight architected lattice ...
  • Baravelli, E., and Ruzzene, M., Internally resonating lattices for bandgap ...
  • Gladwell, G.M.L., Inverse Problem in Vibration, Martinus Nijhoff Publishers, Boston, ...
  • Lancaster, P., Maroulas, J.I., Inverse Eigenvalue Problems for Damped Vibrating ...
  • Inman, D.J., and Kress, A., Eigenstructure Assignment via Inverse Eigenvalue ...
  • Reichl, K.K. and Inman, D.J., Lumped Mass Model of a ...
  • Friswell, M. and Mottershead, J.E., Finite element model updating in ...
  • Starek, L., Inman, D.J., and Kress A., A Symmetric Inverse ...
  • Inman, D.J. and Andry, Jr., A.N., Some Results on the ...
  • Inman, D.J., Dynamics of Asymmetric Non-Conservative Systems, ASME Journal of ...

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