Summary
Mechanical systems with parameter fluctuations lead to bifurcation problems. With increasing fluctuation intensity the equilibrium of the system becomes unstable and bifurcates into non-trivial stationary solutions. To illustrate this effect we consider the typical example of a simply supported beam under axial loading. Its governing partial differential equation of motion can be reduced to a non-linear ordinary one. For the special case of white noise fluctuations we investigate Lyapunov exponents and bifurcation points of both solution forms.
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© 1992 Springer-Verlag Berlin Heidelberg
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Wedig, W.V. (1992). Simulation and Analysis of Mechanical Systems with Parameter Fluctuation. In: Bellomo, N., Casciati, F. (eds) Nonlinear Stochastic Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84789-9_45
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DOI: https://doi.org/10.1007/978-3-642-84789-9_45
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