Abstract
This chapter deals with the outcrossing problem for nonstationary Gaussian processes which are the most encountered problems in engineering practice. It presents various solutions to outcrossing rate for nonstationary process. Firstly, the nonstationary process is defined with a specific description of nonstationary Gaussian process. The focus of the chapter is on derivation of three analytical solutions for nonstationary processes: upcrossing a line (threshold), outcrossing a hyperplane, and outcrossing a polyhedron, including an efficient solution to upcrossing a threshold. Detailed derivation of PHI2+ method for nonstationary process is also presented with a worked example for illustration. Practical examples for the application of the presented solutions are provided with detailed procedure for readers to take-up in their reliability assessment of structures.
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