
轨道随机激励对弹性约束轮对随机稳定性与随机分岔的影响
Infuluence On Stochastic Stability and Stochastic Bifurcation Of Elastic Constraint WheelsetSystem Subjected To Rail Stochastic Excitation
Considering track random irregularity and their structure random parameters to establish the elastic wheel system with Hamilton function form of the Ito stochastic differential equation; According to the quasi non-integrable hamiltonian theory and oseledec multiplicative ergodic theory, the local stochastic stability conditions had been obtained; the stochastic global stability conditions had also been obtained by judging the modality of the singular boundary; the stochastic Hopf bifurcation was analyzed from Steady-state probability density and joint probability density. The results show that, different random strength effect on the wheelset system has different instability critical speed, compared with non-considering stochastic factors of wheelset system identified only one instability critical speed is essential difference between, even if certain bifurcation conditions are satisfied, bifurcation does not have to occur. The possibility of occurrence of bifurcation is evaluated by the probability calculated.
伊藤随机微分方程 / 拟不可积Hamilton系统 / 稳态概率密度 / 随机Hopf分岔 {{custom_keyword}} /
Ito Stochastic Differential Equation / quasi non-integrable Hamiltonion system / steady-state probability density / Stochastic hopf bifurcation {{custom_keyword}} /
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