Abstract

This paper examines certain problems in the stability of elastic structures when the external loads fluctuate in a stochastic manner. The study is important for two reasons. First, there exist many examples of loads such as those generated by jet and rocket engines, earthquakes, wind gusts, etc., that cannot be adequately described by deterministic time functions alone, and the stability of structures subject to such loads have to be analysed by statistical methods. Second, even when the loading is principally deterministic, it may be more realistic to investigate the stability of the structure by giving a random perturbation to the loading in addition to the perturbations to the initial state adopted in the conventional approach.

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