CISM-AIMETA Advanced School on "Dynamic Stability and Bifurcation in Nonconservative Mechanics"

Suggested readings

D. Bigoni, Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability, Cambridge University Press, 2012.

O. Doaré, Dissipation effect on local and global fluid-elastic instabilities, in Nonlinear Physical Systems, Kirillov and Pelinovsky Eds., Wiley, 2014.

O.N. Kirillov, Nonconservative Stability Problems of Modern Physics, De Gruyter, Berlin, Boston, 2013.

A.V. Metrikine, H.A. Dieterman, Instability of vibrations of a mass moving uniformly along an axially compressed beam on a visco-elastic foundation, Journal of Sound and Vibration 201(5) (1997) 567–576.

A.V. Metrikine, S.N. Verichev, Instability of vibration of a moving oscillator on a flexibly supported Timoshenko beam, Archive of Applied Mechanics 71(9) (2001) 613–624.

O.M. O’Reilly, Intermediate Engineering Dynamics: A Unified Treatment of Newton-Euler and Lagrangian Mechanics, Cambridge University Press, New York, 2008.

O.M. O’Reilly, Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws. Springer, New York. To be published in 2017.

A. Ruina, R. Pratap, Introduction to Statics and Dynamics, Oxford University Press,
A. Ruina, Non-holonomic stability aspects of piecewise-holonomic systems, Reports in Mathematical Physics, 42 (1998) 91–100.

J.P Meijaard, J. M Papadopoulos, A. Ruina, A.L Schwab, Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review, Proc. Roy. Soc. A. 463 (2007) 1955–1982.

M. J. Coleman, A. Ruina, An uncontrolled walking toy that cannot stand still, Phys. Rev. Lett. 80 (1998) 3658.


See also