On the failure of static stability analyses of nonconservative systems in regions of divergence instability

This publication has 13 references indexed in Scilit:

• A QUALITATIVE ANALYSIS FOR THE LOCAL AND GLOBAL DYNAMIC BUCKLING AND STABILITY OF AUTONOMOUS DISCRETE SYSTEMS
  The Quarterly Journal of Mechanics and Applied Mathematics, 1994
• Static and dynamic, local and global, bifurcations in nonlinear autonomous structural systems
  AIAA Journal, 1993
• On the reliability of classical divergence instability analyses of Ziegler's nonconservative model
  Computer Methods in Applied Mechanics and Engineering, 1992
• Bifurcations in a two-degree-of-freedom elastic system with follower forces
  Journal of Sound and Vibration, 1988
• Bifurcations Associated with a Double Zero and a Pair of Pure Imaginary Eigenvalues
  SIAM Journal on Applied Mathematics, 1988
• The existence of regions of divergence instability for nonconservative systems under follower forces
  International Journal of Solids and Structures, 1983
• Non-linear bifurcation analysis of non-gradient systems
  International Journal of Non-Linear Mechanics, 1980
• Stability of Elastically Restrained Timoshenko Cantilevers With Attached Masses Subjected to a Follower Force
  Journal of Applied Mechanics, 1977
• Postbuckling Analysis of Nonconservative Elastic Systems
  Journal of Structural Mechanics, 1976
• On the Stability of Elastic Systems Subjected to Nonconservative Forces
  Journal of Applied Mechanics, 1964