Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative

Response of a non-linear system with res

Response of a non-linear system with restoring forces governed by fractional derivatives—Time domain simulation and statistical linearization solution

✍ Pol D. Spanos; Georgios I. Evangelatos 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 493 KB

In this paper, the random response of a non-linear system comprising frequency dependent restoring force terms is examined. These terms are accurately modeled in seismic isolation and in many other applications using fractional derivatives. In this context, an efficient numerical approach for determ