Abstract
One new method is presented for computing engineering structure reliability by accelerating convergence based on the analysis of errors in the center point method and borrowing ideas form the merits of the other First-Order Second Moment (FOSM) methods. The accelerating convergence method is based on the first class Chebyshev polynomials. Firstly, the transformation relation of the first class Chebyshev polynomials and the power polynomials is given and expanded to vector formula. Secondly, the outstanding function approximate character of the first class Chebyshev polynomials can supply the high order information for the choosing of approximately surface. An example shows that the method presented in this article has well precision. Although the accelerating convergence method needs choose the format of the structural function properly for get the high precision results, the method can serve as an effective for engineering estimate owing to non-iterative formula and convenience.
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