F.R. Vigneron, Comments on "mathematical modeling of spinning elastic bodies for modal analysis", AIAA Journal, Vol.13, pp.126-127, 1975.  Home/Search   Document Not in Database   Summary   Related Articles

.... at least ten years of intensive work by helicopter blade dynamicists [8, 9] It was also employed recently by Pai and Nayfeh [10] The mainstream approach to the three dimensional kinematic analysis of beams for flexible multibody dynamics simulations is the assumed deformation field approach [3, 5, 11, 12]. While the last approach is simple, the other two provide avenues to obtaining more sophisticated mathematical expressions for more complicated deformation fields. Once the deformation field and the elastic rotation matrix of the beam have been chosen, it is a straightforward matter to determine ....

.... In dealing with Euler Bernoulli beams using a Lagrangian description, the following deformation field of a generic point P having a position of (x; y; z) in the body reference frame before the beam deforms, neglecting shear due to bending and warping due to torsion, is often assumed (Vigneron [11], Kaza and Kvaternik [12] Han, Xu and Zu [14] 8 : X i = x u Gamma y v 0 Gamma z w 0 Gamma 1 2 Z x 0 (v 0 2 w 0 2 )d Y i = v Gamma z OE y Z i = w y OE z (2) where u, v, w and OE are as defined above. The primes denote a differentiation with respect ....

F.R. Vigneron, Comments on "mathematical modeling of spinning elastic bodies for modal analysis", AIAA Journal, Vol.13, pp.126-127, 1975.

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