An order reduction technique for nonlinear dynamic analysis of a struc-tural system incorporated with rate-independent linear damping Part 1:Formulation of the technique

摘要

It is established that rate-independent linear damping(RILD) benefits a low-frequency structure by effectivelyreducing the response displacement without increasing theoor response acceleration . Due to its non-causality,it is usually formulated and analyzed in the frequencydomain. For nonlinear dynamic analysis of a structuralsystem incorporated with RILD, time-domain techniquesneeds to be developed. A currently-used technique forthis purpose is to use a tuned Maxwell-Wiechart (TMW)model to approximate RILD for nonlinear dynamic analysis; however, this may signicantly increase the order ofgoverning equations of motion. In this study, we develop atime-domain technique for numerical implementation of afractional-order RILD model . The advantage of the developedtechnique over the conventional one is that muchreduced order may be introduced to the structural systemwhile achieving similar accuracy. Here, the formulation ofsuch an order reduction technique is illustrated.