A DYNAMIC SYNTHESIS OF NONCLASSICALLY DAMPED SUBSTRUCTURES

The component mode synthesis approach has played an important role in dynamic structural analysis. The approach consists of dividing a structure into smaller substructures, calculating the eigenproperties of the individual substructures and then finally synthesizing the substructure eigenproperties to obtain the combined system eigenproperties. Such syntheses invariably involve the costruction of a second transformed eigenvalue problem, the solution of which provides the desired eigenproperties. An alternative way of formulating and solving the second eigenvalue problem is developed. In this method, The eigenvalues are obtained as the solution of a simple nonlinear characteristic equation, defined in clossed form. For each calculated eigenvalue, the corresponding eigenvector is then obtained from a simple closed-form expression. Once the eigenproperties are known, the dynamic response can be obtained by any standard technique for deterministic or random loads. Numerical results demonstrating the applicability of the proposed approach are presented.

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  • Accession Number: 00479644
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Feb 28 1989 12:00AM