Work

A Weierstrass approach to the analysis of rarefaction solitary waves in tensegrity mass-spring systems

Year: 2024

Type: article

Abstract: The Weierstrass‘ theory of one-dimensional Lagrangian systems and a quasi-continuum approach are employed to study the propagation of solitary waves in tensegrity mass-spring chains, which exhibit softening-type elastic response in the large displacement regime and are subject to external pre-compression. The presented study analytically derives the shape of the traveling rarefaction pulses, and limiting values of the speeds of such pulses. Use is made of a tensegrity-like interaction potential that captures the main features of the real force-displacement response of the examined units. The Weierstrass approach is validated through numerical applications that establish comparisons between the theory developed in the present work and previous results available in literature.

Source: Communications in Applied and Industrial Mathematics

DOI: 10.2478/caim-2024-0008

Authors: Julia de Castro Motta, Luca Placidi, Rana Nazifi Charandabi, Fernando Fraternali

Institutions: University of Salerno, UniNettuno University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Ministero degli Affari Esteri e della Cooperazione Internazionale, Gruppo Nazionale per la Fisica Matematica

Awards: G7966786603, G972786147