CONDITIONAL LINEARIZATION IN NONLINEAR RANDOM VIBRATION

In this paper, an improved probabilistic linearization approach is dev eloped to study the response of nonlinear single degree of freedom (SD OF) systems under narrow-band inputs. An integral equation for the pro bability density function (PDF) of the envelope is derived. This equat ion is solved using an iterative scheme. The technique is applied to s tudy the hardening type Duffing's oscillator under narrow-band excitat ion. The results compare favorably with those obtained using numerical simulation. In particular, the bimodal nature of the PDF for the resp onse envelope for certain parameter ranges is brought out.