Stochastic Structural Dynamics for Aerospace Applications
Abstract
Three technical areas are addressed: (1) A new general theory is developed to predict the response of a truss-type space structure under arbitrary loading using the concept of wave propagation and scattering in piece- wise periodic structures. (2) The effects of random imperfection (or disorder) are taken into account based on assumed spatial ergodicity property of the imperfect periodic truss units. The random disorder has the tendency to inhibit wave propagation, quantified by a localization factor. A scheme is devised to permit successive improvement of accuracy in the computation of localization factor, making it applicable to all practical cases regardless of the relative measures between disorder and the internal coupling. (3) New exact and approximate solution techniques are developed for nonlinear dynamical systems under random excitation. The exact solution technique is based on separation of probability flow into the potential flow and the circulatory flow. Approximate solution is obtained under a statistical criterion that the average dissipation energy remains the same for the original system and a substituting system which is exactly solvable. Keywords: Vibration localization, Nonlinear random vibration.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 15, 1990
- Accession Number
- ADA221517
Entities
People
- Y. K. Lin
Organizations
- Florida Atlantic University