提出了工程结构可靠性分析的高阶矩方法。主要是基于数值逼近原理，以切比雪夫正交函数族{T_k(x)}做基，利用功能函数的高阶矩信息，通过计算功能函数概率密度函数的逼近表达式，然后根据工程结构可靠性的一般表达式来计算结构的失效概率，进行可靠性分析。通过经典分布函数的数值检验和结构构件失效概率的计算结果比较，表明了该方法在理论上的正确性和工程中的实用性。

A higher moment method with the basis of Chebyshev polynomial { T_k(x)} is presented, which is used in the reliability analysis of engineering structures. The equations of optimal probability density function of stochastic variable or limit state function are derived by use of the higher moments of the function. Subsequently, a reliability index or failure probability of the engineering structures can be calculated. From the comparison of the classical distribution function and the failure probability for the components, this method is proved to be valuable and practicable in engineering application.