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  • 1
    Electronic Resource
    Electronic Resource
    Multiple body systems with flexible members (1990)
    Springer
    Nonlinear dynamics 1 (1990), S. 433-447 
    Details
    ISSN: 1573-269X
    Keywords: Multibody systems ; clastic bodies ; geometric nonlinearities ; centrifugal stiffening
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01856947
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Elastic Plates in Multibody Systems: A Treatment Using Existing Rigid Body Codes (1997)
    Springer
    Multibody system dynamics 1 (1997), S. 351-359 
    Details
    ISSN: 1573-272X
    Keywords: elastic plates ; elastic multibody systems ; symbolic dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In the present paper, it is shown how one can employ existing rigid body codes to handle systems containing elastic plates by using a Rayleigh–Ritz discretization procedure. The equations of motion are formulated for a rectangular plate undergoing large rigid body motions but small elastic deformations. Geometric nonlinearities in the elastic coordinates are taken into account to include the effect of dynamic stiffening. As an example, a spin-up maneuver for a simply-supported plate is treated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009737121336
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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