ABSTRACT A finite element formulation for free-vibration analysis of straight prismatic beams of general thin-walled open cross-section, under conservative and nonconservative loads, is presented. The formulation is used to calculate the flutter load for a number of beam problems and is verified by comparison with pre-existing numerical solutions.

Flutter

10.1080/08905458708905126

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Citations (7)

Lateral buckling of beams including the effects of initial bending curvature

Mario M. Attard I J Somervaille A. P. Kabaila

A quadratic eigenvalue finite element formulation is presented for the lateral buckling of thin walled open beams. The first order effects of initial bending curvature are included in the formulation. A solution procedure to obtain the critical load is explained and a number of examples are outlined (a).

Pure bending

Critical load

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STABILITY OF DAMPED COLUMNS ON A WINKLER FOUNDATION UNDER SUB-TANGENTIAL FOLLOWER FORCES

International Journal of Structural Stability and Dynamics (2013)

Moon‐Young Kim Jun‐Seok Lee Mario M. Attard

This study examines the dynamic stability regions of damped columns on a Winkler foundation that are subjected to sub-tangentially distributed follower forces. A nondimensionalized equation of motion for the column subjected to linearly distributed follower forces is firstly derived based on the extended Hamilton's principle. A finite element procedure, using Hermitian interpolation functions, is employed to develop the mass matrix, Rayleigh damping matrix, Winkler foundation matrix, elastic and geometric stiffness matrices due to distributed axial forces, and a load correction stiffness matrix to account for sub-tangential follower forces. Subsequently, a time history analysis using the Newmark-β method and an evaluation method for the flutter and divergence loads of the nonconservative system are presented. Finally, the dynamic stability characteristics of the nonconservative system that display the jumping phenomenon in the second flutter load are explored through a parametric study. In particular, how the stable and unstable regions of the undamped and damped Leipholz columns translate with changes in the Winkler foundation stiffness is demonstrated and discussed.

Flutter

Damping matrix

Foundation (evidence)

Matrix (chemical analysis)

Direct stiffness method

10.1142/s021945541350020x

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Citations (8)

Ductility of high strength concrete columns

Transactions of the Institution of Engineers, Australia. Civil engineering (1995)

Stephen J. Foster Mario M. Attard

Ductility (Earth science)

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Citations (15)