Wave polynomials for solving different types of two-dimensional wave equations

• Autorzy: Maciąg A. , Wauer J.
• Języki publikacji: EN

Abstrakty

EN

The paper demonstrates a specific power series expansion technique used to obtain the approximate solution of the two-dimensional wave equation in some unusual cases. The solution for inhomogeneous wave equation, for more complicated shape geometry of the body, discrete boundary conditions and a membrane whose thickness is not constant is shown. As solving functions (Trefftz functions), so-called wave polynomials are used. Recurrent formulas for the particular solution are obtained. Some examples are included.

Słowa kluczowe

EN

wave equation; wave polynomials; Trefftz method; membrane vibrations

PL

równanie falowe; wielomiany

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2005
• Tom: Vol. 12, No. 4
• Strony: 364--378
• Opis fizyczny: Bibliogr. 18 poz., il., wykr.

Twórcy

autor

Maciąg A.

• Kielce University of Technology, Department of Mathematics [Politechnika Świętokrzyska]

autor

Wauer J.

• Institut für Technische Mechanik Universität Karlsruhe Kaiserstraße 12, D-76128 Karlsruhe, Germany

Bibliografia

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