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.
Highlights
It has been observed that the motion of buildings due to earthquake excitation may not cause as much damage to buildings as the result of possible pounding between them [1,2,3,4]
The well-known modal truncation strategy is outstandingly efficient for a single linear ground-accelerated structure
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
Summary
It has been observed that the motion of buildings due to earthquake excitation may not cause as much damage to buildings as the result of possible pounding between them [1,2,3,4]. Pounding occurs if the separation distance between adjacent buildings is not sufficient in order to compensate for their relative movements. It is dynamically complex and even chaotic behavior that occurs if the eigenfrequencies of the single buildings differ considerably [5]. Numerical simulations of the dynamic pounding problem are necessary in order to understand the characteristics of structures based on which guidelines for structural design can be provided [6,7,8]. Low-order models are necessary that guarantee a certain level of accuracy
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