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316                                                        Chapter 5















           Figure 5.49 Stability-related conditions: (a) Stable; (b) Neutral equilibrium; (c) Unstable


















            Figure 5.50  Finite  element model showing out-of-the-plane buckling of a thin column





















           Figure 5.51  Buckling  of  a  thin ring: (a) Undeformed; (b) Finite element model of the out-
                                  of-the-plane deformed shape

          A perturbation will displace the ball, as shown in  Fig.  5.49 (a), but the stable-
          equilibrium position  (denoted by SE)  will be  regained  after the perturbation
          ceases.  In the case  of Fig.  5.49 (b), any  position  is one of equilibrium, for
          instance the ball  will  move from  one  equilibrium  position  to a
          subsequent one     after the perturbation ends, and therefore this situation is
          one of neutral  equilibrium (NE).  On the  contrary,  when a  perturbation is
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