CATALOG DATA:
The general principle of stability of structural systems. Euler buckling and postbuckling behavior of discrete and continuous systems are presented.

TEXTBOOK:
None

GOALS:
This course is to provide the fundamental concepts in stability of non-gyroscopic conservative systems. Bifurcation of equilibrium state the effects of imperfections and post-buckling behavior are presented. Exact and approximate methods of analysis applied to a number of structures are included.

Prerequisites:
AME 60641 (559)

Topics:

• Buckling phenomena of nongyroscopic conservative systems.
• Classical critical buckling and nonlinear postbuckling behaviors of a single-degree freedom system: Imperfection method, equilibrium method, energy method, vibration method, large displacement - postbuckling behavior.
• Algebraic and differential Eigenvalue problems: Orthogonality condition, bounds of eigenvalues.
• General concepts and criterion of stability: Lagrange stability theory and Rayleigh's principle, multiple degree of freedom systems (rigid bars and spring system), elastic continuous systems.
• Approximate methods and examples: Ritz method and Fourier series method, Lagrange multiplier method, Galerkin method, finite difference method, finite element method.
• Application to arches and curved beams: General theory of curved beams, effects of boundary conditions, bifurcation and snap-through.
• General torsion bending theory of thin-wall members: General theory, shear center, torsional and flexural buckling.
• Effect of geometrical imperfections and post-buckling behavior: General theory, buckling and postbuckling of bent-plates.

ABET category content as estimated by faculty member who prepared the course description:
Engineering Science: 3 credits or 100%
Engineering Design: 0 credits

Prepared by: Professor Nai-Chien Huang
Last Update: December 20, 1994

 

Direct comments, questions, and corrections to amedept@nd.edu