On the dynamic behaviour of the Timoshenko beam finite elements

abstract

• First, various finite element models of the Timoshenko beam theory for static analysis are reviewed, and a novel derivation of the 4 4 stiffness matrix (for the pure bending case) of the superconvergent finite element model for static problems is presented using two alternative approaches: (1) assumed-strain finite element model of the conventional Timoshenko beam theory, and (2) assumed-displacement finite element model of a modified Timoshenko beam theory. Next, dynamic versions of various finite element models are discussed. Numerical results for natural frequencies of simply supported beams are presented to evaluate various Timoshenko beam finite elements. It is found that the reduced integration element predicts the natural frequencies accurately, provided a sufficient number of elements is used.

authors

• Reddy, Junuthula

published proceedings

• SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES

author list (cited authors)

• Reddy, J. N.

citation count

• 40

publication date

• June 1999

publisher

• Springer Nature  Publisher

keywords

• Assumed Strain-displacement Formulation
• Dynamic Behaviour
• Interdependent Interpolation
• Natural Frequencies
• Reduced Integration Elements
• Superconvergent Element
• Timoshenko Beam Finite Elements

Digital Object Identifier (DOI)

• 10.1007/BF02745800

start page

• 175

end page

• 198

volume

• 24

issue

• 3

URL

• http://dx.doi.org/10.1007/bf02745800