DIRECT IMPLEMENTATION OF STOCHASTIC LINEARIZATION FOR SDOF SYSTEMS WITH GENERAL HYSTERESIS

The first and second moments of response variables for SDOF systems wi th hysteretic nonlinearity are obtained by a direct linearization proc edure. This adaptation in the implementation of well-known statistical linearization methods, provides concise, model-independent linearizat ion coefficients that are well-suited for numerical solution. The meth od may be applied to systems which incorporate any hysteresis model go verned by a differential constitutive equation, and may be used for ze ro or non-zero mean random vibration. The implementation eliminates th e effort of analytically deriving specific linearization coefficients for new hysteresis models. In doing so, the procedure of stochastic an alysis is made independent from the task of physical modeling of hyste retic systems. In this study, systems with three different hysteresis models are analyzed under various zero and non-zero mean Gaussian Whit e noise inputs. Results are shown to be in agreement with previous Lin earization studies and Monte Carlo Simulation.