Abstract
In this paper, multibody systems including flexible bodies are investigated. Beginning with a general discussion of flexible bodies in multibody systems, a detailed description of beams is given. Higher order terms in the strain energy function are taken into account, in order to include the effect of centrifugal stiffening and elastic coupling of various vibration modes. Descretizing the elastic members via a Rayleigh-Ritz procedure, integrals containing the chosen shape functions are obtained. These integrals can be calculated in advance, serving as input data for a multibody formalism. A program module is described, which computes all these data representing the flexible body and interacts with a new multibody code.
The second part of the paper deals with the use of existing commercial rigid body codes for the dynamic simulation of elastic multibody systems. A new computer program is described interacting with a symbolic rigid body program to derive and solve the equations of motion for a given system containing elastic beams. The problem of dynamic load redistribution in the insulator chains of overhead transmission lines is treated as an example.
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© 1993 Springer Science+Business Media Dordrecht
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Botz, M., Hagedorn, P. (1993). On the Dynamics of Multibody Systems with Elastic Beams. In: Schiehlen, W. (eds) Advanced Multibody System Dynamics. Solid Mechanics and Its Applications, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0625-4_11
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DOI: https://doi.org/10.1007/978-94-017-0625-4_11
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