A Structural Pounding Formulation Using Systematic Modal Truncation

Abstract

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.

A Newmark space-time formulation in structural dynamics

“…This strategy is pursued both in the Craig-Bampton method [13] and in the dual Craig-Bampton method [14]. Although these two methods are mainly applicable to linear systems, a hierarchical formulation of the Craig-Bampton method has lately been presented for vibroimpact problems with linear contact formulations [15,16] and highly nonlinear contact laws [17]. Recently, also a combination of the proper orthogonal decomposition and substructure techniques has been proposed in the literature [18].…”