Response of vibratory systems to general random pulses

✍ Scribed by R. Iwankiewicz

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 854 KB
• Volume: 108
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(86)80038-4

✦ Synopsis

An analytical technique is presented to determine the response of linear vibratory systems to general random pulses described by marked and doubly stochastic point processes. Some general relationships for marked point processes are given which are next used to evaluate the expected value and the mean square of the response to a random train of impulses dependent on the history of excitation as well as to a random train of pulses with random amplitudes and durations. As an example of a problem described by a marked point process the dynamic response of a bridge to a random train of moving loads with random weights and speeds is treated. Next the class of excitations described by a doubly stochastic point process is considered; in particular the train of impulses with arrival rate dependent on the impulses amplitude and the train of pulses with arrival rate dependent on the pulses duration. The application of the doubly stochastic point process formalism to the problem of the moving loads on the bridge is also discussed.