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From the same paper as the previous 2 images.
Kinetic energy versus time during the transient phase of the STAGS analysis of the axially compressed composite cylindrical shell shown in the previou
The transient phase of the STAGS analysis is conducted at a constant value of end shortening slightly higher than the maximum reached during the previous nonlinear static equilibrium phase.
The kinetic energy starts at zero, of course, builds up in an initial smooth exponential fashion, then oscillates, then drops near the end of the transient phase. The exact manner in which this kinetic energy profile evolves depends upon the damping coefficient used in the STAGS simulation.
(from the paper: On the solution of mode jumping phenomena in thin-walled shell structures" by Eduard Riks, Charles C. Rankin and Francis A. Brogan, Computer Methods in Applied Mechanics and Engineering, Vol. 136, 1996, pp. 59-92.)
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