The paper concerns the reconstruction of a consistent FEM model of an in-line system of 2-dof elements, fixed at one end and free at the other. Such a system has tridiagonal stiffness and mass matrices, K, M. Because each element has one rigid body mode, K has negative codiagonal and is constrained
FINITE ELEMENT CONNECTIVITIES FROM VIBRATION MEASUREMENTS
β Scribed by J.E. MOTTERSHEAD
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 118 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0888-3270
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β¦ Synopsis
This paper addresses the problem of determining unknown physical connectivities for inclusion in a "nite element model by using standard frequency response measurements. In general, neither the topology nor the sti!ness of such connectivities are known. A method is presented based on two systems of equations from "nite elements and vibration measurements. When the equations are constrained so that an assumed connection is undeformed, then the eigenvalues and vect(ors of the two systems will be identical if the remainder of the structure is accurately modelled. A numerical example, in the form of a "nite element truss structure, is used to illustrate the application of the method. It is demonstrated that the approach is tolerant of parameter errors elsewhere in the model.
π SIMILAR VOLUMES
In this paper we solve an eigenvalue problem arising from the computation of the vibrations of a coupled system, incompressible uid -elastic structure, in absence of external forces. We use displacement variables for both the solid and the uid but the uid displacements are written as curls of a stre