Abstract
In order to improve the computational efficiency of the large-scale structures with uncertainty parameters, this paper present a methodological approach for interval uncertainty treatment based on an improved free interface Component Mode Synthesis (CMS) method. Firstly, the structure is divided into substructures and the perturbation method is employed for the eigenvalue analysis of substructures with the interval non-deterministic characteristics. To reduce the mode truncation error, the residual flexibility matrix is considered by constructing a set of weighted orthogonal modal vectors with low-order system modal vectors and system matrices. Different from the previous studies, this method proposed in this paper avoids calculating directly inverse of the stiffness matrix, which makes it easier to get the residual flexibility matrix. Then the synthesis equations including parameters perturbation can be deduced in terms of the interface compatibility conditions. Finally, two examples including with a numerical example as well as an experiment example are given to demonstrate the effectiveness and the efficiency of the proposed method.
Highlights
During the last decades, the FEM has been applied widely in the dynamic analysis of the deterministic models
An improved free interface Component Mode Synthesis (CMS) combined with interval methods was proposed in order to reduce the computation time of interval dynamic analyses
It is observed that the errors reduce for higher modes and the maximum error is less than 0.3 % when more than 20 modes are comprised in the synthesis model
Summary
The FEM has been applied widely in the dynamic analysis of the deterministic models. He Huan et al [9] proposed a hybrid coordinates CMS approach for a localized nonlinear system. Oliviero Giannini and Michael Hanss [20] proposed a component mode transformation method, which couples the capabilities of the standard transformation with the computational advantages of the CMS approach, for mechanical systems with uncertain parameters. Methods which apply the constraint interface CMS to the analysis of structures with non-deterministic properties can reduce efficiently the time consuming. An improved free interface CMS combined with interval methods was proposed in order to reduce the computation time of interval dynamic analyses. Modal tests have been conducted to the structure with different combination of pieces, comparison between experimental results and the analytical results are given to demonstrate the validation of the presented method
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