Journal
SHOCK AND VIBRATION
Volume 15, Issue 5, Pages 481-492Publisher
HINDAWI LTD
DOI: 10.1155/2008/149393
Keywords
circular arch element; curvature; free vibration; natural frequencies; membrane-shear locking
Categories
Ask authors/readers for more resources
In this paper, a finite element technique was used to determine the natural frequencies, and the mode shapes of a circular arch element was based on the curvature, which can fully represent the bending energy and by the equilibrium equations, the shear and axial strain energy were incorporated into the formulation. The treatment of general boundary conditions dose need a consideration when the element is incorporated by the curvature-based formula. This can be obtained by the introduction of a transformation matrix between nodal curvatures and nodal displacements. The equation of the motion for the element was obtained by the Lagrangian equation. Four examples are presented in order to verify the element formulation and its analytical capability.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available