Recent Publications

Roy, R. V., and Spanos, P. D., "Wiener-Hermite Functional Representation of Nonlinear Stochastic Dynamics" Structural Safety, 6, pp. 187-202 (1989). Abstract

Roy, R. V., and Spanos, P. D., "Padé-Type Approach to Nonlinear Random Vibration Analysis", Probabilistic Engineering Mechanics, 6, Nos. 3-4, pp. 119-128 (1991). Abstract Manuscript (PS-Gziped)

Roy, R. V., and Spanos, P. D., "Power Spectral Densities of Nonlinear System Response: The Recursion Method", Journal of Applied Mechanics, Transactions of the ASME, 60, pp. 358-365, (1993). Abstract. Manuscript (PS-Gziped)

Roy, R. V., "Noise Perturbation of Nonlinear Dynamical Systems," Chapter 6, in Computational Stochastic Mechanics, (A. H.-D. Cheng, and C. Y. Yang, Eds.), pp. 125-148, Computational Mechanics Publications, (Southampton, UK), Elsevier, (1993). Manuscript (PS-Gziped)

Roy, R. V., "Noise Perturbations of a Nonlinear System with Multiple Steady States", International Journal of Non-Linear Mechanics, 29, pp. 755-773 (1994). Abstract. Manuscript (PS-Gziped).

Roy, R. V., "Stochastic Averaging of Oscillators Excited by Colored Gaussian Processes", International Journal of Non-Linear Mechanics, 29, pp. 463-475 (1994). Abstract. Manuscript (PS-Gziped).

Roy, R. V. and Nauman, E., "Noise Induced Effects on a Nonlinear Oscillator," Journal of Sound and Vibration, 183 (2), pp. 269-295 (1995). Abstract. Manuscript (PS-Gziped)

Roy, R. V., "Probabilistic Analysis of a Nonlinear Pendulum", Acta Mechanica, 115 , 87-101, (1996). Abstract. Manuscript(PS-Gziped)

Roy, R. V., "Noise-Induced Transitions in Weakly Nonlinear Oscillators Near Resonance," Journal of Applied Mechanics, (Transactions of the ASME), 62 , pp. 496-504 (1995). Abstract. Manuscript(PS-Gziped).

Roy, R. V., "Asymptotic Analysis of First-Passage Problems," International Journal of Non-Linear Mechanics, Vol. 32 (1), pp. 173-186 (1997). Abstract, Preprint(PS-Gziped).

Roy, R. V., "Large Deviations Theory, Weak-Noise Asymptotics and First-Passage Problems: Review and Results'', Applications of Statistics and Probability , (Eds. by M. Lemaire, J.-L. Favre, A. Mebarki), pp. 1129-1135, A. A. Balkema, Rotterdam, (1995). Preprint(Gziped).

R.V. Roy, A.J. Roberts, and M.E. Simpson, ``A lubrication model of coating flows over a curved substrate in space'', submitted to Journal of Fluid Mechanics. Abstract, Preprint.

R.V. Roy, and L.W. Schwartz, ``Effective Reynolds Equation for Laminar Lubricating Films Between Rough Surfac es'', submitted to Journal of Engineering Mathematics.

Probabilistic Analysis of Flow in Random Porous Media by Stochastic Boundary Elements , with S. Grilli, Engineering Analysis with Boundary Elements, Vol. 19 (3), 1997. Abstract, Manuscript.