Abstract: The response of a lightly damped single‐degree‐of‐freedom oscillator to a random excitation with an evolutionary broad‐band power spectrum is considered. Analytical solutions are given for the transition, joint, and marginal ...

Abstract: The first‐passage time problem for the response amplitude of a linear lightly damped single‐degree‐of‐freedom oscillator under evolutionary random excitation is considered. A Markovian approximation of the amplitude allows ...