Probabilistic Finite Element Analysis of Dynamic Structural Response.

摘要

Turbomachinery components exhibit more diverse and complex structural behavior than most classes of engineering structures. Stress analysis of rotating propulsion system components has been a driving force in the development of many of the most sophisticated numerical methods in common use: substructuring and cyclic symmetry techniques, large-scale eigensolution algorithms, creep and thermoplasticity models, and modal and reduced basis methods. Even with the powerful analytical tools and software which exist today, the stress and vibration analysis of turbomachine components is usually a challenging task. The most important contributors to this analytical complexity are: intricacy of the structure geometry and properties; nonlinearity and its influence on other responses; and uncertainty in properties, loading, and other variables. Applied research in finite element methods and numerical solution algorithms at the present time is concerned, in large measure, with addressing these problems areas. This report addresses the issue of uncertainty in defining a structural analysis model and interpreting the results. A bladed disk is a useful example of the sources of uncertainty which may exist for a single model. (KR)