2017/06/01 by Han Kyul Joo, Joo, Han Kyul, Mustafa A. Mohamad +3
Decision Sciences · Engineering · #Computational Engineering #Data Analysis #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Fluid Dynamics and Vibration Analysis #Probabilistic and Robust Engineering Design #Statistics and Probability (physics.data-an) #Structural Health Monitoring Techniques #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.1706.00676
openalex publication_date 2017/06/01 · openalex created_date 2022/09/29 · openalex updated_date 2026/07/28
We develop an efficient numerical method for the probabilistic quantification\nof the response statistics of nonlinear multi-degree-of-freedom structural\nsystems under extreme forcing events, emphasizing accurate heavy-tail\nstatistics. The response is decomposed to a statistically stationary part and\nan intermittent component. The stationary part is quantified using a\nstatistical linearization method while the intermittent part, associated with\nextreme transient responses, is quantified through i) either a few carefully\nselected simulations or ii) through the use of effective measures (effective\nstiffness and damping). The developed approach is able to accurately capture\nthe extreme response statistics orders of magnitude faster compared with direct\nmethods. The scheme is applied to the design and optimization of small\nattachments that can mitigate and suppress extreme forcing events delivered to\na primary structural system. Specifically, we consider the problem of\nsuppression of extreme responses in two prototype ocean engineering systems.\nFirst, we consider linear and cubic springs and perform parametric optimization\nby minimizing the forth-order moments of the response. We then consider a more\ngeneric, possibly asymmetric, piecewise linear spring and optimize its\nnonlinear characteristics. The resulting asymmetric spring design far\noutperforms the optimal cubic energy sink and the linear tuned mass dampers.\n