将改进的滤波算法和随机边界元法结合 ,提出了用于预测接触应力的逆随机边界元法。根据某些内点应变的随机分布 ,建立了量测值的边界元解析灵敏度矩阵和解析量测矩阵 ,从而使得预测边界上的随机接触载荷的分布和结构可靠度的分布成为可能。最后 ,算例显示了本方法的有效性。 Combining the improved filtering algorithm with stochastic boundary element method, an inverse stochastic boundary element method for predicting contact stress is proposed. According to the stochastic distribution of some internal strain, the analytical solution of the boundary element sensitivity matrix and the analytical measurement matrix are established, which makes it possible to predict the distribution of random contact loads and the distribution of structural reliability. Finally, the example shows the effectiveness of this method.