Integral Method for Static, Dynamic, Stability and Aeroelastic Analysis of Beam-like Structure Configurations
Journal Title: INCAS BULLETIN - Year 2017, Vol 9, Issue 4
Abstract
This work presents a synthesis of the use of an integral approximate method based on structural influence functions (Green’s functions) concerning the behavior of beam-like structures. This integral method is used in the areas of static, dynamic, aeroelasticity and stability analysis. The method starts from the differential equations governing the bending or/and torsional behavior of a beam. These equations are put in integral form by using appropriate Green’s functions, according to the boundary conditions. Choosing a number of n collocation points on the beam axis, each integral are then computed by a summation using weighting numbers. This approach is suitable for conventional Euler-Bernoulli beams and also for the thin-walled open or closed cross-section beams which can have bending-torsion coupling. Generally, for a static analysis this approach leads to a linear system of equations (the case of the lift aeroelastic distribution analysis) or to an eigenvalues and eigenvectors problem in the case of dynamic, stability or divergence analysis.
Authors and Affiliations
Viorel ANGHEL
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