Nonlinear free periodic vibrations of open cylindrical shallow shells

• Type: Article in International Scientific Journal
• Date: 2008

Authors

P. Ribeiro (Author) FEUP

Journal

Title: Journal of Sound and Vibration

Pages: 224-245

ISSN: 0022-460X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 18 Citations

Scopus - 20 Citations

INSPEC

COMPENDEX

Scientific classification

FOS: Engineering and technology > Mechanical engineering

CORDIS: Technological sciences > Engineering > Mechanical engineering > Vibration engineering

Other information

Authenticus ID: P-003-YK6

DOI: 10.1016/j.jsv.2007.11.029

Abstract (EN): This paper is concerned with the non-linear free periodic vibrations of thin, open, cylindrical and shallow shells vibrating in the geometrically non-linear regime. A multi-degree-of-freedom model with hierarchical basis functions is adopted and the principle of the virtual work is used to define the time domain equations of motion. These equations are transformed into the frequency domain by the harmonic balance method and are finally solved by an arc-length continuation method. Shells of different thicknesses and of different curvature radius are analysed, and the variation of the non-linear natural frequencies of these shells with the vibration amplitude are investigated in some detail. The variation of the mode shapes with the vibration amplitude is demonstrated. It is found that both softening and hardening spring effects occur and that the number of couplings between vibration modes is rather large in undamped shells.

Language: English

Type (Professor's evaluation): Scientific