P. Shi, J. McPhee, and G. R. Heppler. A deformation field for eulerbernoulli beams with applications to flexible multibody dynamics. Multibody System Dynamics, 5(1):79--104, February 2001. Home/Search Document Details and Download
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On the Modeling of Rotating Beams for Rotorcraft Blade Analysis - Masarati, Morandini (Correct)
....to build nonlinear theories is that sometimes their strict application requires dropping terms that are known to produce significant physical e#ects. Moreover, they are known to break the symmetry and the variational properties of consistent structural models. An interesting work by Shi et al. [12] showed how the usual linearized Euler Bernoulli beam theory produces a deformation field that results in an approximation of the rotation matrix which is only first order. By enforcing a second order approximation, a consistent secondorder beam theory is obtained, which ensures a higher order of ....
P. Shi, J. McPhee, and G. R. Heppler. A deformation field for eulerbernoulli beams with applications to flexible multibody dynamics. Multibody System Dynamics, 5(1):79--104, February 2001.
Dynamics of Flexible Multibody Systems using Virtual Work and.. - Shi, McPhee Self-citation (Shi Mcphee) (Correct)
....virtual work of body forces, including gravity and inertial forces. For use with our dynamic formulation, all terms in equation (9) should be written in terms of generalized elastic coordinates q f (t) that describe the deformation of the flexible body. One method for doing this is described in [12], using Euler Bernoulli beam theory, polynomial shape functions, and a second order deformation field. 3.2 Arm Elements An arm element is used to represent the relative position and orientation of two reference frames on the same body. As shown in Figure 3, the graph for an arm element consists ....
....vector associated with the rigid arm element; it is a function of 1 since the direction of r 2 varies as the rigid body rotates. For an arm on a flexible body, the relative displacements and rotations will also be functions of the elastic coordinates q f describing the deformation of the body [12]. 3.3 Absolute Drivers A driver element is one for which the through or across variables are explicit functions of time. A motion driver is used to specify the time varying position or orientation of a body fixed reference frame with respect to an inertial frame, while a force driver is used ....
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P. Shi, J. McPhee, and G. Heppler, `A Deformation Field for Euler-Bernoulli Beams with Application to Flexible Multibody Dynamics', to appear in Multibody System Dynamics, 2000.
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