Conjugate and directional chaos control methods for reliability analysis of CNT–reinforced nanocomposite beams under buckling forces; a comparative study

The efficiency and robustness of reliability methods are two important factors in first order reliability method (FORM). The conjugate choice control (CCC) and directional chaos control method (DCC) were developed to improve the robustness and efficiency of FORM formula using the stability transformation method. In this paper, the CCC and DCC methods are applied for reliability analysis of a complex engineering problem as a nanocomposite beam, which is reinforced by carbon nanotubes (CNTs) underbuckling force. The probabilistic model for nanocomposite beam is developed using buckling failure mode which is computed using the Euler-Bernoulli beam model. The robustness and efficiency CCC and DCC are compared using stable solution and number of call limit state functions. The results demonstrate that the CCC method is more robust than DCC for this example, while the DCC method is simpler than the CCC.

Keywords:

Reliability analysis , Nanocomposite beam , Conjugate chaos control , Directional chaos control