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A Deformation Field for Euler-Bernoulli Beams with Applications to Flexible Multibody Dynamics (2000)  (Make Corrections)  (2 citations)
P. Shi, J. McPhee, G.R. Heppler



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Abstract: this paper. The investigation of the kinematics of beams is a fundamental ingredient in modelling flexible body dynamics. The term three-dimensional kinematics refers, in this paper, to the determination of the deformation field and the attendant relative rotation matrix (also known as the elastic rotation) between two sections due to elasticity of the beam, assuming the beam undergoes longitudinal, flexural and torsional deformations, without considering the cause of these deformations. There... (Update)

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...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...

...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...

Cited by:   More
On the Modeling of Rotating Beams for Rotorcraft Blade Analysis - Masarati, Morandini   (Correct)
Dynamics of Flexible Multibody Systems using Virtual Work and.. - Shi, McPhee   (Correct)

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BibTeX entry:   (Update)

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. http://citeseer.ist.psu.edu/shi00deformation.html   More

@misc{ shi00deformation,
  author = "P. Shi and J. McPhee and G. Heppler",
  title = "A Deformation Field for Euler-Bernoulli Beams with Application to Flexible
    Multibody Dynamics",
  text = "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.",
  year = "2000",
  url = "citeseer.ist.psu.edu/shi00deformation.html" }
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Documents on the same site (http://real.uwaterloo.ca/~dynaflex/theory.html):
Dynamics of Flexible Multibody Systems using Virtual Work and.. - Shi, McPhee   (Correct)

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