A numerical method for static and free-vibration analysis of non-uniform Timoshenko beam-columns


Girgin Z. C. , Girgin K.

CANADIAN JOURNAL OF CIVIL ENGINEERING, vol.33, no.3, pp.278-293, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 3
  • Publication Date: 2006
  • Doi Number: 10.1139/l05-109
  • Title of Journal : CANADIAN JOURNAL OF CIVIL ENGINEERING
  • Page Numbers: pp.278-293

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. T his 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.