... by several authors ( 51 52 53 54 ). However, all these developments of the method were mainly for SDOF nonlinear stochastic systems except the method of weighted residuals ( 8 ) was formulated for MDOF nonlinear stochastic systems. A prerequisite...

.... ( 77 ) and Suzuki ( 78 ) proposed a method of active stochastic control for seismic-excited hysteretic structures. To determine the quasi-optimal control the authors have modified an old idea of control of nonlinear stochastic systems and proposed an iterative procedure where equivalent linearization...

..., is given in Sec. 7. New linearization techniques for nonlinear stochastic systems with parametric Gaussian excitations and external non-Gaussian excitations are discussed in Secs. 8 and 9, respectively. In the last sections, four surveys of papers where stochastic linearization is used as a mathematical...

...PS Landa; RA Ibrahim 11 09 2002 nonlinear dynamical systems oscillations chaos stochastic systems vibrations synchronisation resonance reviews 9R10. Regular and Chaotic Oscillations. Foundations of Engineering Mechanics. - PS Landa (Dept of Phys, Moscow State Univ...