Predictive Dynamic Stimulation of Structures with Non-Smooth Nonlinearities

摘要

The objective of this work has been to develop model reduction methods for nonlinear structural dynamics applications. The methods are intended for structures containing components for which large finite element models are necessary to model nonlinear internal forces generated in the structure (e.g., due to joints and interfaces). The reduced model of the structure should accomplish two objectives: 1) yield two or more orders of magnitude reduction in computing time to simulate response, and 2) accurately retain nonlinear effects of importance. There have been two parallel approaches taken in this work. The first model reduction method under development is similar in spirit to the classical Guyan reduction. The second approach applies hybrid parameter multiple body dynamics modeling tools to structures by utilizing the idea of degrees of hybridness. This approach relies on a variational principles based projection method to model the non-linearities and variable structured nature of bolted joint structures.