Stochastic Optimization of Dissipation Structures Based on Lyapunov Differential Equations and the Full Stress Design Method

This article presents a Lyapunov precise integral-based analysis method for seismic structures with added viscous fluid dampers. study uses the full stress algorithm as optimization method, considering mean square of interstory drifts objective, position damper object, and random vibration calculation to optimize frame A integral solution is derived equation based on general expression differential damping system under excitation nonstationary stochastic process using two types modulation functions: g(t)=1 g(t)=t. Finally, optimal arrangement achieved this six-layer non-eccentric planar frame. In addition, results are verified those in literature time-history analysis, which verifies feasibility effectiveness proposed method. provides configuration dampers response structures, beneficial engineering applications protection structures.