- Tytuł:
- Solutions of vibration problems for thin infinite plates subjected to harmonic loads
- Autorzy:
-
Klanner, M.
Ellermann, K. - Powiązania:
- https://bibliotekanauki.pl/articles/281616.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
Kirchhoff plate theory
infinite plate
ring load
circular load
Hankel transform - Opis:
- New closed form solutions for harmonic vibrations of infinite Kirchhoff plates subjected to a constant harmonic ring load, a constant harmonic circular load and an alternating harmonic circular load are derived. Two different approaches are used to define the closed form solutions. The first approach uses the integration of the harmonic point force and the addition theorem for Bessel functions, while the second approach applies the Hankel transform to solve the inhomogeneous partial differential equation of the Kirchhoff plate theory. The new closed form particular solutions can especially be used in Trefftz like methods and extend their field of application.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 949-961
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł