Beam p-version finite element for geometrically non-linear vibrations in space

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Fonseca, JR (Author) Other; Pedro Leal Ribeiro (Author) FEUP

Journal

Title: Computer Methods in Applied Mechanics and Engineering

Vol. 195 No. 48

Pages: 905-924

ISSN: 0045-7825

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 12 Citations

ISI Web of Science

Scopus - 13 Citations

COMPENDEX

Scientific classification

FOS: Engineering and technology > Mechanical engineering

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

Other information

Authenticus ID: P-004-PDS

DOI: 10.1016/j.cma.2005.02.008

Abstract (EN): A beam p-version, hierarchical finite element for geometrically non-linear vibrations in space is presented. Stresses are obtained by adding the effects of traction, torsion and bending. A simplified version of Green's strain tenser and the generalised Hooke's law are used. The mass and stiffness matrices are obtained by the principle of the virtual work, and the ensuing non-linear equations of motion are solved by Newmark's method. Some examples of linear spacial motion and non-linear planar motion are tested, in order to verify the element derived, and it is demonstrated that this element requires a small number of degrees of freedom for accuracy. Non-linear vibrations in space are then studied.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20