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A numerical method for static and free-vibration analysis of non-uniform Timoshenko beam–columns.
- Source :
-
Canadian Journal of Civil Engineering . Mar2006, Vol. 33 Issue 3, p278-293. 16p. 10 Diagrams, 6 Charts, 1 Graph. - Publication Year :
- 2006
-
Abstract
- A generalized numerical method is proposed to derive the static and dynamic stiffness matrices and to handle the nodal load vector for static analysis of non-uniform Timoshenko beam–columns under several effects. This method presents a unified approach based on effective utilization of the Mohr method and focuses on the following arbitrarily variable characteristics: geometrical properties, bending and shear deformations, transverse and rotatory inertia of mass, distributed and (or) concentrated axial and (or) transverse loads, and Winkler foundation modulus and shear foundation modulus. A successive iterative algorithm is developed to comprise all these characteristics systematically. The algorithm enables a non-uniform Timoshenko beam–column to be regarded as a substructure. This provides an important advantage to incorporate all the variable characteristics based on the substructure. The buckling load and fundamental natural frequency of a substructure subjected to the cited effects are also assessed. Numerical examples confirm the efficiency of the numerical method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03151468
- Volume :
- 33
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Canadian Journal of Civil Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 22308736
- Full Text :
- https://doi.org/10.1139/L05-109