Abstract
Methods are discussed to convey zones of nonlinear equation instability in mechanisms, and applied to a flexible rod in a slider crank mechanism. Instability zones are presented in the crank length-crank speed parameter plane for several piston mass parameter values. Unstable zones are not characterized by exponentially increasing solutions (as implied by previous studies based on linear equation representations), but instead display jumps and period doubling cascades. In one case the analytical response and its bifurcations are favorably compared to experimental results. The nonlinearities have a significant effect upon the boundaries of the instability zones and the nature of the response within the instability zones.
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