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

Journal Title: Journal of Applied and Computational Mechanics - Year 2016, Vol 2, Issue 3

Abstract

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) under buckling 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.

Authors and Affiliations

Behrooz Keshtegar, Zeng Meng

Keywords

Related Articles

Periodic Solutions of the Duffing Harmonic Oscillator by He's Energy Balance Method

Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear ca...

Ritz Method Application to Bending, Buckling and Vibration Analyses of Timoshenko Beams via Nonlocal Elasticity

Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and...

Reliability analysis of nanocomposite beams-reinforced by CNTs under buckling forces using the conjugate HL-RF

In this paper, the nonlinear conjugate map based on the conjugate Hasofer-Lind and Rackwitz- Fiessler (CHL-RF) method is applied to evaluate the reliability index using first order reliability method of the embedded noan...

Reducing Retrieval Time in Automated Storage and Retrieval System with a Gravitational Conveyor Based on Multi-Agent Systems

The main objective of this study is to reduce the retrieval time of a list of products by choosing the best combination of storage and retrieval rules at any time. This is why we start by implementing some storage rules...

Buckling Analysis of a Micro Composite Plate with Nano Coating Based on the Modified Couple Stress Theory

The present study investigates the buckling of a thick sandwich plate under the biaxial non-uniform compression using the modified couple stress theory with various boundary conditions. For this purpose, the top and bott...

Download PDF file
  • EP ID EP178289
  • DOI 10.22055/jacm.2016.12516
  • Views 133
  • Downloads 0

How To Cite

Behrooz Keshtegar, Zeng Meng (2016). Conjugate and directional chaos control methods for reliability analysis of CNT–reinforced nanocomposite beams under buckling forces; a comparative study. Journal of Applied and Computational Mechanics, 2(3), 144-151. https://europub.co.uk./articles/-A-178289