Nonlinear lightweight metastructure with effective negative stiffness

DOI10.1007/S00707-022-03322-3OpenAlexW4295169974MaRDI QIDQ2092909

I. Ninkov, Gy. Mester, Livija Cveticanin, Miodrag Zukovic

Publication date: 4 November 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03322-3

zbMATH Keywords

exact solutionnonlinear elasticityone-dimensional latticeinverse beta functionmass-spring absorberstiff structure-vibration absorber system

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30)

Cites Work

• Negative effective mass in acoustic metamaterial with nonlinear mass-in-mass subsystems
• Exact steady states of periodically forced and essentially nonlinear and damped oscillator
• Oscillators with symmetric and asymmetric quadratic nonlinearity
• Strongly nonlinear oscillators. Analytical solutions
• Responses of a two degrees-of-freedom system with uncertain parameters in the vicinity of resonance 1:1

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