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
Other information
Language
English
Type of outcome
Article in a journal
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Marked to be transferred to RIV
No
Organization unit
Mathematical Institute in Opava
UT WoS
001498929400003
EID Scopus
2-s2.0-105005485678
Keywords in English
thermoelastic springs; Prandtl-Ishlinskii operator; asymptotic stability
Tags
International impact, Reviewed
Changed: 24/2/2026 14:51, 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.