Near-resonant regimes of a moving load on a pre-stressed incompressible elastic half-space

• Autorzy: Kudaibergenov Askar , Kudaibergenov Askat , Prikazchikov Danila

Identyfikatory

DOI

10.2478/ama-2021-0005

• Języki publikacji: EN

Abstrakty

EN

The article is concerned with the analysis of the problem for a concentrated line load moving at a constant speed along the surface of a pre-stressed, incompressible, isotropic elastic half-space, within the framework of the plane-strain assumption. The focus is on the near-critical regimes, when the speed of the load is close to that of the surface wave. Both steady-state and transient regimes are considered. Implementation of the hyperbolic–elliptic asymptotic formulation for the surface wave field allows explicit approximate solution for displacement components expressed in terms of the elementary functions, highlighting the resonant nature of the surface wave. Numerical illustrations of the solutions are presented for several material models.

Słowa kluczowe

EN

moving load; incompressible; pre-stress; asymptotic

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2021
• Tom: Vol. 15, no. 1
• Strony: 30--36
• Opis fizyczny: Bibliogr. 40 poz., rys., wykr.

Twórcy

autor

Kudaibergenov Askar

• Department of Mathematical and Computer Modelling, Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, 71 Al-Farabi Ave., 050040, Almaty, Kazakhstan

autor

Kudaibergenov Askat

• Department of Mathematical and Computer Modelling, Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, 71 Al-Farabi Ave., 050040, Almaty, Kazakhstan

autor

Prikazchikov Danila

• School of Computing and Mathematics, Keele University, Keele, Staffordshire, ST5 5BG, UK
• Institute for Problems in Mechanical Engineering RAS, 61 Bolshoy Pr., Saint-Petersburg, 199178, Russia

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