Computer simulations of random variables and random fields in conjunction with the probabilistic methods can be regarded as powerful tools in analysis of the reliability of nonlinear models of structures and in modelling of environmental problems. In this paper three various civil engineering examples are presented. The first problem concerns the stability of nonlinear randomly imperfect structures with a special attention paid to the probability distribution of the limit loads. The second problem is devoted to the analysis of the effect of the material and load imperfections on the response of a nonlinear shell structure. The third example deals with the theoretical reconstruction of physical processes in soil, water or air on the basis of limited, fragmentary observed data. This paper presents a unified approach to solutions of the nonlinear equations arising in time-independent discrete models with random parameters.

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