Stability Problems in Applied Mechanics

Released on by Asok Kumar Mallik
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  • Stability Problems in Applied Mechanics Book Detail

  • Author : Asok Kumar Mallik
  • Release Date : 2005
  • Publisher : Alpha Science Int'l Ltd.
  • Genre : Technology & Engineering
  • Pages : 138
  • ISBN 13 : 9781842653098
  • File Size : 43,43 MB
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Stability Problems in Applied Mechanics by Asok Kumar Mallik PDF Summary

Book Description: "Stability Problems in Applied Mechanics starts with the stability problems in statics. The example of buckling of columns is studed through Euler method followed by the Energy method, based on Lagrange-Dirichlet theorem. Snap buckling, instability of shape, buckling due to follower load are also discussed. Insufficiency of static analysis for instability is clearly brought out and buckling problems are revisited from the point of view of dynamics. The theory of Dynamical System and the foundations of bifurcation theory and Floquet theory are developed and used to revisit the stability problems in the light of these unified mathematical concepts. This mathematical basis is then applied to investigate the stability problems encountered in dynamics of particle, rigid and flexible bodies. Finally the emergence of length scale and pattern formation as a consequence of instability in fluid, thermal and diffusion systems are discussed through a number of real-life problems. Different notions of stability and the analysis of nonlinear states are briefly included in two appendices."--BOOK JACKET.

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