Model Reduction Techniques for Large-Amplitude Vibrations of Complex Nonlinear Structures
Abstract
The objective of this research is the development of systematic methods for generating reduced-order models that accurately describe the vibrations of large-scale nonlinear structural systems. These methods are based on nonlinear modes of vibration defined and constructed in terms of invariant manifolds. The motivation for the research stems from the fact that the dynamics of nonlinear structures are typically decomposed in terms of the linearized system's modes, often yielding poor modal convergence and too large reduced-order models. Research focused on (1) the development of a more efficient computer code for the generation of reduced order models for a realistic rotorcraft blade model, (2) the investigation of the convergence of reduced-order models based on a finite element rotorcraft blade model, (3) the extension of the model reduction technique to piecewise linear systems and hybrid linear nonlinear structural systems, (4) the development of a new computer code for the construction of multi-mode based reduced-order models, (5) the development of a new computer code for the construction of the reduced-order model for nonlinear systems under periodic external excitation, (6) the development of a methodology that uses component mode synthesis in conjunction with nonlinear normal modes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 30, 2005
- Accession Number
- ADA432137
Entities
People
- Christophe Pierre
- Steven W. Shaw
Organizations
- University of Michigan