Forced random parametric vibration in single-degree-of-freedom systems

Linear systems with random properties subjected to stochastic loading are difficult to analyze by conventional means, and most analysts simply ignore the random property contribution to the system response, The relative importance of the random property effects in the system response under a variety of conditions is examined. Toward this end, a random matrix technique is proposed that is more flexible and more computationally efficient than conventional approaches when dealing with this class of problem. This technique, which is an improved variation of the perturbation approach, will be used to analyze single-degree-of-freedom linear oscillators with various damping ratios and property variation types, subjected to stationary loading, Some of these cases will also be analyzed by Monte Carlo simulation, for comparison. Finally, trends in the importance of random property effects will he discussed.