Uncertainty quantification is important in various disciplines of engineering and science. This paper focuses on the applications of Wiener Chaos Expansion(WCE) technique to stochastic systems used in structural dynamics. Examples include linear SDoF system with random coefficients subjected to additive white noise. All the results are validated using traditional Monte Carlo(MC) simulation. Based on the numerical results a adaptive truncation of WCE coefficients(AWCE) is also proposed. The computational efficiency of proposed method is brought out.

Keywords: Dynamics, Stochastic dynamics, Random coefficients, Additive noise, Stochastic differential equations.