This paper deals with nonlinear mechanics of an elevator brake system subjected to uncertainties. A deterministic model that relates the braking force with uncertain parameters is deduced from mechanical equilibrium conditions. In order to take into account parameters variabilities, a parametric probabilistic approach is employed. In this stochastic formalism, the uncertain parameters are modeled as random variables, with distributions specified by the maximum entropy principle. The uncertainties are propagated by the Monte Carlo method, which provides a detailed statistical characterization of the response. This work still considers the optimum design of the brake system, formulating and solving nonlinear optimization problems, with and without the uncertainties effects.

翻译：本文研究受不确定性影响的电梯制动系统非线性力学问题。基于力学平衡条件，推导了制动力与不确定参数之间的确定性模型。为考虑参数变异性，采用参数化概率方法。在此随机形式中，不确定参数被建模为随机变量，其分布由最大熵原理确定。通过蒙特卡洛方法传播不确定性，从而获得响应的详细统计特征。本研究进一步考虑制动系统的优化设计，分别在有/无不确定性影响的情况下，建立并求解非线性优化问题。