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Hybrid Simulation Workshop: SDOF Example



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Hybrid Simulation Workshop SDOF Example Compute the response of a SDOF system shown below using hybrid simulation and a four member team System properties Natural period 1 sec damping ratio 5 o Mass m 0 0761 kips sec2 in o Stiffness k 1 5 kips in for each spring o Damping coefficient c 0 0478 kips sec in Spring yield force ry 0 5 kip Excitation properties Duration t0 0 5 sec Intensity f0 1 5 kips Roles First member Left spring Second member Right spring Third member Given resistance and force compute target displacement Fourth member Compute initial conditions then in each step assemble spring forces request displacement target disseminate displacement target to springs Complete system state force and displacement for 10 time steps with t 0 1sec Pre compute a0 m1 f 0 cv0 r0 d 1 d 0 tv0 t 2 a0 2 m t 2 c 2 t Iterate di 1 2m c m d 2 di 1 ri f i 2 i m c t 2 t t 2 t 2 t Results Time sec 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 1 0 1 Excitation f kips Total resistance r kips 1 5 1 5 1 5 1 5 1 5 1 5 0 0 0 0 0 Mass displacement d in



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