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To solve the dynamic response problem that contains uncertain parameters needs, the stochastic differential equations needs to be calculated. Interval analysis has been widely used to solve engineering problems which contain many uncertain parameters usually. But the numerical solution method for stochastic differential equations based on the interval analysis method was seldom investigated. In this study a new numerical interval method for the stochastic differential equations based on the Euler's method is presented, which can be used to solve the linear system effectively and efficiently. The probabilistic and interval dynamics analysis of a two-degree-of-freedom bike car model with uncertain parameters are presented.

One of the most important vibration isolators in vehicles is the powertrain mounting system (PMS). It transmits the powertrain vibrations to the body, and the chassis vibrations excited by road to the powertrain. The design of a PMS is an essential part in vehicle safety and in improving the vehicle noise, vibration and harshness (NVH) performances. Many organizations are increasingly relying on design simulation rather than trail-and-error based experiments which are expensive and time-consuming for PMS evaluation. However, design parameters for PMS are always uncertain in actual cases due to tolerances in manufacturing and assembly processes. In this paper, based on a front wheel drive vehicle with a transversely four-cylinder engine, the uncertain characteristics of PMS are studied by interval analysis method.