Optimal Design of TMD Under Long-Term Nonstationary Wave Loading

—Traditionally,the use of a tuned mass damper(TMD)is to improve the surviability of the pri-mary structure under extraordinary loading environment while the design loading condition is describedby either a harmonic function or a stationary random process that can be fully characterized by a powerspectral density(PSD)function.Aiming at prolonging the fatigue life of an offshore platform,this studyconsiders an optimal design of TMD for the platform under long-term nonstationary loading due tolong-term random sea waves characterized by a probabilistic power spectral density(PPSD)function.Inprinciple,a PPSD could be derived based on numerous ordinary PSD functions;and each of them is treat-ed as realization of the corresponding PPSD.This study provides a theoretical development for theoptimal TMD design by minimizing the cost function to be the mean square value of the expectedlong-term response.A numerical example is presented to illustrate the developed design procedure.