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Zbl 1047.70023
Fanghella, P.; Galletti, C.; Torre, G.
An explicit independent-coordinate formulation for the equations of motion of flexible multibody systems. (English)
[J] Mech. Mach. Theory 38, No. 5, 417-437 (2003). ISSN 0094-114X

Summary: We develop an expression for the equations of motion of multibody systems with rigid and flexible bodies performing any kind of motion, with fixed and time-dependent holonomic constraints, forming open and closed loops, and with constant field forces and generic forces acting on the bodies. The proposed equations have been obtained by Lagrange's approach and are formulated in terms of independent coordinates; influence coefficients, pseudo-velocities and pseudo-accelerations are used to take into account constraints; modal superposition techniques model body deformations; mass properties of flexible bodies are expressed by invariants of inertia. The final expression of the equations is suited for computer solution and is aimed at reducing to a minimum the number of kinematic analyses required to evaluate influence coefficients and their derivatives.

MSC 2000:: *70E55 Dynamics of multibody systems
70B15 Mechanisms

Keywords: Multibody systems; Mechanism dynamics; Influence coefficients

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Zentralblatt MATH Berlin [Germany]