Stochastic stability of the loaded stiff rod

✍ Scribed by H. Roozen

• Book ID: 104633344
• Publisher: Springer
• Year: 1989
• Tongue: English
• Weight: 715 KB
• Volume: 23
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00128908

✦ Synopsis

A stiff rod, held in a vertical position by an elastic hinge, is subjected to a load consisting of a deterministic and a small stochastic component, both acting in fixed directions. The rod is slightly damped and carries out small oscillations around an equilibrium position. Above a critical energy level, the mechanical system of which the rod forms a part, may get damaged. At some time, an accumulation of stochastic effects can lead to an excess of this critical energy level. In this paper we derive various statistical expressions related to the time needed to reach the critical energy level. These expressions can be adopted as a measure of the reliability of the mechanical system.