Novel Approach on Mathematical Modeling and Numerical Evaluation of the Seismic Protection of Structural Dynamic Systems

ABSTRACT Numerical studies for seismic isolated by lead core rubber bearing (LCRB) structural dynamic system are performed in Matlab and Simulink tools. For the numerical solution of the equation of motion fourth‐order Runge–Kutta method based Matlab solution (RKMBMS) technology and Simulink model‐based design solution (SMBDS) technology are developed and presented. For hysteretic restoring force, Bouc‐Wen's nonlinear model was used. Bouc‐Wen's nonlinear model dimensionless parameters were defined based on laboratory experiments. For the properties of LCRB such as stiffness, damping, damping ratio, yield strength, normalized yield strength, and yield displacement were used on base‐related standards. The stiffness, damping, and mass matrixes superstructure were built based on finite element method. For application, SMBDS technology state‐space model of the system was used. For the earthquake effects RKMBMS and SMBDS technologies are compared in terms of implementation (mathematic modeling, code preparation, and analyze duration) time. Long‐duration and long‐period earthquakes are observed to have particular influence on structural behavior. We observed that SMBDS technology for nonlinear dynamic analyses is attractive on implementation time and on minimizing and controlling errors, and it can be adopted especially for projects where time is a governing factor.