The calculation of the eigenfrequencies of the torsional free vibrations of the bars using the method of fundamental solutions

• Autorzy: Uściłowska A. , Fraska A.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

This work concerns an application of the method of fundamental solutions to the calculation of the eigenfrequencies of the torsional natural vibrations of the bars. The problem of the torsional free vibrations of the bar is an initial-boundary value problem. In the solution process of this problem, the method of variables separation is used. The boundary value problem is solved by the method of fundamental solutions. The different shapes of the bar cross-section are taken into account. The numerical calculations are performed for the rods made of the materials with the different characteristics (mass, density, shear modulus, etc.). To check the accuracy of the proposed methods the results of numerical experiment are included.

Słowa kluczowe

EN

method of fundamental solutions; eigen frequencies problem; Bessel functions

PL

metoda rozwiązań podstawowych; drgania własne; funkcje Bessela

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 429--434
• Opis fizyczny: Bibliogr. 22 poz., 1 rys.

Twórcy

autor

Uściłowska A.

• Institute of Applied Mechanics, Poznan University of Technology, ul Piotrowo 3, 60-965 Poznan, POLAND

autor

Fraska A.

• Institute of Applied Mechanics, Poznan University of Technology, ul Piotrowo 3, 60-965 Poznan, POLAND

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