Simulation and Analysis of Mechanical Systems with Parameter Fluctuation
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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