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[27055] Artykuł: Solving direct and inverse problems of plate vibration by using the trefftz functionsCzasopismo: Journal of Theoretical and Applied Mechanics Tom: 51, Zeszyt: 3, Strony: 543-552ISSN: 1429-2955 Wydawca: POLISH SOC THEORETICAL & APPLIED MECHANICS, FWARSAW UNIV TECHNOLOGY, FACULTY CIVIL ENGINEERING, AL ARMII LUDOWEJ 15, RM 650, WARSZAWA, 00-637, POLAND Opublikowano: 2013 Liczba arkuszy wydawniczych: 1.00 Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 15 Klasyfikacja Web of Science: Article Pełny tekst Web of Science Keywords: plate vibration  Trefftz method  inverse problem  source identification  |
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 differential 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.