USE OF INTERPOLATED EIGENVECTORS TO POSITION COUPLING ELEMENTS BETWEEN SUBSTRUCTURES .2. APPLICATIONS

A method of predicting the behavior of a system in which the coupling elements between substructures have been moved is presented in Part I of this two paper series. The method uses linear, quadratic, and cubic Lagrange interpolation functions to determine the modification matric es that represent the one- or two-dimensional change in position of a discrete coupling element, such as a spring or damper, between substru ctures. These modification matrices are then used with an established prediction technique of structural dynamics modification (SDM) to dete rmine the behavior of the modified system. This paper presents example systems which verify and compare the accuracy of the technique as wel l as determine its computational intensity. Both the one- and two-dime nsional examples show that the cubic interpolation formulation holds s ufficient accuracy for most engineering calculations and requires orde rs of magnitude less computation than the eigensolution itself.