Equations of motion of hybrid systems of arbitrary arrangement

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Elastic Bodies, Elastodynamics, Equations Of Motion, Hubble Space Telescope, Rigid Structures, Boundary Value Problems, Eigenvalues, Integral Equations, Orthogonality

Scientific paper

The hybrid systems considered are mechanical systems which consist of rigid and elastic bodies which are coupled with each other. The Hamilton principle is used for a derivation of the equations of motion for the considered systems. A closed quadratic expression is obtained with the aid of the Dirac function. It is assumed that the elastic contour as a function of length is continuous. Conditions for generalized orthogonality are discussed and approximate solutions are presented. The application of the derived relations is illustrated with the aid of an example involving the NASA Large Space Telescope.

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