- Tytuł:
- Solving direct and inverse problems of plate vibration by using the Trefftz functions
- Autorzy:
-
Maciąg, A.
Pawińska, A. - Powiązania:
- https://bibliotekanauki.pl/articles/280804.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
plate vibration
Trefftz method
inverse problem
source identification - Opis:
- The paper presents an approximate method of solving direct and inverse problems which are described by a non-homogenous plate vibration equation. The key idea of the presented approach is to use solving polynomials that satisfy the considered homogenous differentia equation identically. Inhomogeneity is expanded into the Taylor series and then, for each monomial, the inverse operator is calculated. In the paper, the properties of solving functions are investigated – a theorem concerning their linear independence is formulated and proved. The method of identification of the load (source) is described. It belongs to the group of inverse problems. The paper includes examples which illustrate the usefulness of the method.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2013, 51, 3; 543-552
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki