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Shock and Vibration
Volume 2018, Article ID 6378085, 15 pages
Research Article

A Structural Pounding Formulation Using Systematic Modal Truncation

Institute of General Mechanics, RWTH Aachen University, Templergraben 64, 52062 Aachen, Germany

Correspondence should be addressed to Franz Bamer; ed.nehcaa-htwr.mai@remab

Received 28 July 2017; Revised 8 March 2018; Accepted 25 March 2018; Published 7 May 2018

Academic Editor: Naveed Ahmad

Copyright © 2018 Jianye Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The evaluation of the response function of the structural pounding problem is generally time-consuming if high-order systems are applied. The well-known modal truncation strategy is outstandingly efficient for a single linear ground-accelerated structure. However, for the analysis of the structural pounding problem, the classical modal truncation technique turns out to be ineffective as additional higher frequency motion due to possible contact impact occurs. This makes the determination of how many modes should be taken into account in order to obtain a required level of accuracy more difficult. Therefore, in this paper, a systematically controlled modal truncation strategy adapted to the seismic pounding formulation under consideration of high nonlinearity and nonsmoothness of contact problems is introduced. A comparative study of the classical and the controlled modal truncation technique is presented and a comparison with the commercial software package ABAQUS© is provided. It is shown that the computational accuracy is significantly improved when applying the new systematically controlled modal truncation strategy.