Abstract
Systems of rigid and flexible bodies undergoing large rigid body motions but small elastic deformations are investigated. In order to get the correct equations of motion one has to consider geometric nonlinearities even in the elastic coordinates. Different possibilities of independently choosing these coordinates are presented. The flexible bodies are discretized using a Ritz-Galerkin approximation. This discretization leads to ordinary differential equations for the description of the clastic vibrations of the flexible bodies as well as for the description of the rigid body motions.
The modelling of deformable bodies is one aspect of our investigations. Another aim of our research is the consideration of clastic bodies in existing multibody programs, in particular in the program AUTOLEV. This is a symbol manipulating program for the formulation of the equations of motion running on PCs. Two examples are considered showing that it is possible to treat clastic bodies in this and in similar programs with the concept of modelling presented above.
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Botz, M., Hagedorn, P. Multiple body systems with flexible members. Nonlinear Dyn 1, 433–447 (1990). https://doi.org/10.1007/BF01856947
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DOI: https://doi.org/10.1007/BF01856947