The propagation of compression and rarefaction solitary waves in tensegrity mass-spring chains under impact loading is analyzed using analytical methods. The Weierstrass criterion is applied to detect solitary wave solutions in the continuum limit of the examined system. The study utilizes an interaction potential that preserves the fundamental characteristics observed in minimal and \(\theta =1\) tensegrity prisms under compression loading. The Chapter includes a review of literature results on the propagation of solitary waves in 1D, 2D, and 3D tensegrity lattices. The analyzed wave regime offers potential applications for designing novel acoustic lenses with tunable focus, innovative actuators and sensors for nondestructive structural health monitoring, and impact protection devices.

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Propagation of Solitary Waves in Geometrically Nonlinear Tensegrity Lattices

  • Fernando Fraternali,
  • Julia de Castro Motta,
  • Ada Amendola

摘要

The propagation of compression and rarefaction solitary waves in tensegrity mass-spring chains under impact loading is analyzed using analytical methods. The Weierstrass criterion is applied to detect solitary wave solutions in the continuum limit of the examined system. The study utilizes an interaction potential that preserves the fundamental characteristics observed in minimal and \(\theta =1\) tensegrity prisms under compression loading. The Chapter includes a review of literature results on the propagation of solitary waves in 1D, 2D, and 3D tensegrity lattices. The analyzed wave regime offers potential applications for designing novel acoustic lenses with tunable focus, innovative actuators and sensors for nondestructive structural health monitoring, and impact protection devices.