Stability Problems in Applied Mechanics

Asok Kumar Mallik (Autor)

Buch | Hardcover

126 Seiten

2005
Alpha Science International Ltd (Verlag)
978-1-84265-309-8 (ISBN)

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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 from the 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.

Asok Kumar Mallik.: Department of Mechanical Engineering Indian Institute of Technology Kanpur Jayanta Kumar Bhattacharjee.: Department of Theoretical Physics Indian Association for Cultivation of Science

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.

Erscheint lt. Verlag	30.12.2005
Verlagsort	Oxford
Sprache	englisch
Maße	185 x 240 mm
Gewicht	280 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
ISBN-10	1-84265-309-1 / 1842653091
ISBN-13	978-1-84265-309-8 / 9781842653098
Zustand	Neuware