AAE 54600: Aerospace Structural Dynamics and Stability
Dynamics of continuous systems: rod, beam, frame, and plate structures. General structural principles: virtual work, Hamilton's principle, Lagrange's equation. Ritz method for discrete approximations. Modal analysis: eigenanalysis, mode shapes, mode superposition, complex modes. Nonlinear vibrations: phase plane, Poincare, and bifurcation plots, chaos. Stability of the motion: classification of problems, follower loads, aerodynamic loads, divergence, flutter, pulsating compression.
Format: Three hours of lecture per week
Credit hours: 3
Status: Elective, Structures, Dynamics and Controls
Pre-requisite: AAE 340 or equivalent, AAE 352 or equivalent
Course Instructor: Professor Doyle
Text: No text required; Recommended text "Nonlinear Analysis of Thin-Walled Structures" Springer-Verlag, 2001
Assessment Method: 2 Exams (50%), Homework (50%)
Help students acquire a conceptual understanding of problems in the dynamics and stability of lightweight structures and of the relevant analytical tools used in their solution.
Necessary Background: Differential equations, structural analysis
Topics (number of Lectures):
- Review of Dynamics (3 lectures)
- Vibration of Continuous Structures (9 lectures)
- General Structures (9 lectures)
- Modal Analysis of Structures (9 lectures)
- Nonlinear Dynamics (6 lectures)
- Stability of the Motion (9 lecture)
Relationship of course to program objectives: This course emphasizes the dynamic analysis of thin-walled aerospace structures (1).
Prepared by: J. F. Doyle
Date: March 8, 2001