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RAS Energy, Mechanics & ControlПрикладная математика и механика Journal of Applied Mathematics and Mechanics

  • ISSN (Print) 0032-8235
  • ISSN (Online) 3034-5758

ENERGY SUPPLY INTO A SEMI-INFINITE β — FERMI-PASTA-ULAM-TSINGOU CHAIN BY PERIODIC KINEMATIC LOADING

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PII
S30345758S0032823525040026-1
DOI
10.7868/S3034575825040026
Publication type
Article
Status
Published
Authors
S.D. Liazhkov
  • Affiliation:
    Peter the Great Saint-Petersburg Polytechnic University
    Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
E.S. Butuzova
  • Affiliation: Peter the Great Saint-Petersburg Polytechnic University
Volume/ Edition
Volume 89 / Issue number 4
Pages
546-558
Abstract
Energy supply into a semi-infinite one-dimensional Fermi-Pasta-Ulam-Tsingou (FPUT) crystal (chain) at a boundary subjected to sinusoidal kinematic loading is examined. It is demonstrated that, in the linear approximation, the energy input problem can be considered symmetric with respect to the boundary for all loading frequencies. Utilizing the renormalized dispersion relation for the chain, an asymptotic approximation for the input energy at large times is derived. It is shown that at low and moderate frequencies, the obtained estimate of the total energy aligns with the results of numerical simulations, whereas a divergence is observed at high loading frequencies.
Keywords
полубесконечная β – ФПУЦ цепочка подвод энергии кинематическое нагружение квазигармоническое приближение
Date of publication
03.12.2025
Year of publication
2025
Number of purchasers
0
Views
16

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