The fact that with appropriate selection of the Ritz shapes, only a few of them can be used to represent adequately the response of the original system can be utilized very effectively in the forced response analysis of multi-degree-of-freedom systems...
The fact that with appropriate selection of the Ritz shapes, only a few of them can be used to represent adequately the response of the original system can be utilized very effectively in the forced response analysis of multi-degree-of-freedom systems. Obviously, a desirable set of Ritz vectors will be one that can adequately represent the spatial distribution of load by the superposition of a minimum number of shapes. It has been demonstrated that dynamic analysis based on Ritz vectors, which are generated by taking into account the spatial distribution of the load yield results which are more accurate than the use of the same number of exact mode shapes. However, because the dynamic response is influenced strongly by the exciting frequency, the exciting frequency in the use of Ritz analysis method is of considerable importance.
In this paper, the influence of exciting frequency on Ritz analysis method is compared with mode superposition method with respect to displacement errors and base shear errors.