S.K. Ider, F.M.L. Amirouche, Nonlinear modelling of flexible multibody systems dynamics, Journal of Applied Mechanics, Vol.56, pp.444-450, 1989. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
A Deformation Field for Euler-Bernoulli Beams with.. - Shi, McPhee, Heppler (2000) (1 citation) (Correct)
....d monomials (which start with x) for the angle of twist. The u in the denotation serves as an identifier for a discretization scheme. Note that a b c d signifies the number of generalized elastic coordinates q f for the beam. 16 6. 1 Planar Spin Up Beam The planar rotating flexible beam [2, 3, 4, 24] has become a benchmark for testing dynamic analysis packages that deal with flexible bodies. This beam, shown in Figure 4, is built into a rigid shaft that is driven with an angular displacement (t) about the z axis. Assuming zero gravity, the beam s tip deformation v 1 in its body frame X 1 ....
.... and material properties used for the present flexible beam are: length l = 10 m, cross sectional area A = 0:0004 m 2 , mass density ae = 3000 kg=m 3 , area moments of inertia J yy = J zz = 2 Theta 10 Gamma7 m 4 and modulus of elasticity E = 7 Theta 10 10 Pa, which are the same as in [4, 24, 2]. The prescribed motion of the joint is also the same and is in the form: t) 8 : s T s t 2 2 ( T s 2 ) 2 (cos( 2t T s ) Gamma 1) # t T s s (t Gamma T s 2 ) t T s (52) with s = 6:0 rad s, and T s = 15 s. The shaft reaches steady motion from rest ....
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S.K. Ider, F.M.L. Amirouche, Nonlinear modelling of flexible multibody systems dynamics, Journal of Applied Mechanics, Vol.56, pp.444-450, 1989.
A Deformation Field for Euler-Bernoulli Beams with.. - Shi, McPhee, Heppler (2000) (1 citation) (Correct)
....Keywords: Deformation field, Euler Bernoulli beam, flexible multibody dynamics, virtual work, graph theory. To appear in the journal of Multibody System Dynamics 1 1 Introduction The traditional model of an Euler Bernoulli beam has been used in numerous works on flexible multibody systems [2, 3, 4, 5]. In the same context, the kinematics of this beam model is revisited in 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 ....
.... 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 ....
S.K. Ider, F.M.L. Amirouche, Nonlinear modelling of flexible multibody systems dynamics subjected to variable constraints, Journal of Applied Mechanics, Vol.56, pp.444-450, 1989.
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