2025
Thermoelastoplastic oscillator with Prandtl-Ishlinskii operator
KOPFOVÁ, Jana and Petra NÁBĚLKOVÁBasic information
Original name
Thermoelastoplastic oscillator with Prandtl-Ishlinskii operator
Authors
KOPFOVÁ, Jana and Petra NÁBĚLKOVÁ
Edition
Mathematics in Engineering, Springfield (USA), American Institute of Mathematical Sciences, 2025, 2640-3501
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10102 Applied mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.300 in 2024
Marked to be transferred to RIV
Yes
Organization unit
Mathematical Institute in Opava
UT WoS
EID Scopus
Keywords in English
thermoelastic springs; Prandtl-Ishlinskii operator; asymptotic stability
Tags
International impact, Reviewed
Changed: 19/3/2026 12:47, Mgr. Aleš Ryšavý
Abstract
In the original language
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.