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Stability Problems in Applied Mechanics 22.0%OFF

Stability Problems in Applied Mechanics

by Asok Kumar Mallik and Jayanta Kumar Bhattacharjee

  • ISBN

    :  

    9788173197215

  • Publisher

    :  

    Narosa Book Distributors Pvt Ltd

  • Subject

    :  

    Technology: General Issues

  • Binding

    :  

    Hardcover

  • Pages

    :  

    126

  • Year

    :  

    2005

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  • Description

    Stability Problems in Applied Mechanics starts with the stability problems in statics. The example of buckling of columns is studied 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 fromthe point of view of dynamics. The next chapter provides the theory of Dynamical System and the foundations of bifurcation theory and explains the problems discussed in the previous chapter in the light of these unified mathematical concepts. This mathematical basis is then applied in the next chapter to investigate the stability problems encountered in dynamics of particle, rigid and flexible bodies. The last chapter explains the emergence of length scale and pattern formation as a consequence of instability in fluid, thermal and diffusion systems. Different notions of stability and the analysis of nonlinear states are briefly included in two appendices. Table of Contents Preface  Stability of Static Equilibrium  Two Dimensional Dynamical Systems  Examples of Instability in Dynamics  Emergence of Length Scale and Pattern Formation  Appendix A: Different Notions of Stability  Appendix B: On the Nonlinear State  Index.

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