Non-linear vibration of Timoshenko damaged beams by a new p-version finite element method

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Vladimir Stojanovic (Author) Other; Pedro Leal Ribeiro (Author) FEUP; Stanislav Stoykov (Author) Other

Journal

Title: Computers and Structures

Vol. 120

Pages: 107-119

ISSN: 0045-7949

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 9 Citations

ISI Web of Science

Scopus - 10 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

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

Other information

Authenticus ID: P-005-1JY

DOI: 10.1016/j.compstruc.2013.02.012

Abstract (EN): A new p-version finite element is suggested to deal with geometrically non-linear vibrations of damaged Timoshenko beams. The novelty of the p-element comes from the use of new displacement shape functions, which are function of the damage location and, therefore, provide for more efficient models, where accuracy is improved at lower computational cost. In numerical tests in the linear regime, coupling between cross sectional rotation and longitudinal vibrations is discovered, with longitudinal displacements suddenly changing direction at the damage location and with a peculiar change in the cross section rotation at the same place. Geometrically non-linear, forced vibrations are then investigated in the time domain using Newmark's method and further couplings between displacement components are found.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13