An efficient response identification strategy for nonlinear structures subject to nonstationary generated seismic excitations

• Published in: Mechanics based design of structures and machines Vol. 45; no. 3; pp. 313 - 330
• Main Authors: Bamer, Franz, Markert, Bernd
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 03.07.2017
• Subjects: Model order reduction; Monte Carlo simulation; nonstationary Kanai-Tajimi filter; numeric time integration
• ISSN: 1539-7734; 1539-7742
• DOI: 10.1080/15397734.2017.1317269

The Monte Carlo method is computationally demanding. Consequently, applying that method to high-dimensional nonlinear systems is practically not feasible. Therefore, a new strategy is proposed in this article, which enables the evaluation of the response statistics of high-dimensional structures subject to random seismic excitations in a nonlinear reduced low-order subspace. It is shown that the new model order reduction method provides the possibility to overcome the computational issue of large-scale Monte Carlo simulations. It provides reliable approximations of the response statistics, when compared with those of the non-reduced Monte Carlo method.