Forced non-linear vibration of cylindrical laminated shells by the p-version finite element method

• Type: Article in International Conference Proceedings Book
• Date: 2004

Authors

P. Ribeiro (Author) FEUP

Conference proceedings International

Title: 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference

Pages: 1-11

45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference

Palm Springs, California, EUA, 19 a 22 de Abril de 2004

Indexing

Scopus - 0 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

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

Other information

Authenticus ID: P-007-CQG

Abstract (EN): A p-version, hierarchical finite element for moderately thick, rectangular, laminated, linear elastic, cylindrical shallow shells is presented. In order to select a reasonably accurate but not too large model, the convergence of the linear natural frequencies with the number of degrees of freedom of the finite element model is studied. Furthermore, the number of degrees of freedom is reduced by neglecting the membrane inertia and changing to modal coordinates. Geometrically non-linear vibrations of laminated shells under the action of transverse forces are described. An algorithm based on the shooting and Newton methods is employed to solve the system of first order differential equations of motion and find their periodic solutions. Results obtained with the reduced and complete models are compared. The curvature radii of the laminated shells are varied and the ensuing alterations in their dynamic behavior analyzed. Interesting modal interactions due to the geometrical nonlinearity and to commensurability of natural frequencies are found in several cases.

Language: English

Type (Professor's evaluation): Scientific

Notes: AIAA 2004-1865

No. of pages: 11