Year: 2025
Type: article
Abstract: We study a mathematical model of mass points longitudinally oscillating between thermoelastoplastic springs. It is derived as a discrete version of a continuous model of longitudinal oscillations of a one-dimensional object. The problem is formulated as a system of nonlinear ordinary differential equations with Prandtl-Ishlinskii type of nonlinearity, subsequently simplified using the first integral of the energy. We show that the system is asymptotically directed to one of the many possible steady states, where all movements cease and temperatures equalize.
Source: Mathematics in Engineering
DOI: 10.3934/mine.2025012
Authors: Jana Kopfová, Petra Nábělková
Institution: Silesian University in Opava
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410520792