Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (12): 2139-2162.doi: https://doi.org/10.1007/s10483-023-3060-6

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Application of the extended Fourier amplitude sensitivity testing (FAST) method to inflated, axial stretched, and residually stressed cylinders

H. ASGHARI1, H. TOPOL2, B. MARKERT2, J. MERODIO1   

  1. 1. Departamento de Matemática Aplicada a las TIC, ETS de Ingenier a de Sistemas Informáticos, Universidad Polit′ ecnica de Madrid, Madrid 28031, Spain;
    2. Institute of General Mechanics, RWTH Aachen University, Aachen 52062, Germany
  • Received:2023-07-04 Revised:2023-09-05 Published:2023-11-27
  • Contact: H. TOPOL, E-mail: topol@iam.rwth-aachen.de

Abstract: This paper is dedicated to applying the Fourier amplitude sensitivity test (FAST) method to the problem of mixed extension and inflation of a circular cylindrical tube in the presence of residual stresses. The metafunctions and the Ishigami function are considered in the sensitivity analysis (SA). The effects of the input variables on the output variables are investigated, and the most important parameters of the system under the applied pressure and axial force such as the axial stretch and the azimuthal stretch are determined.

Key words: sensitivity analysis (SA), Fourier amplitude sensitivity test (FAST) method, cylindrical inflation, nonlinear elasticity

2010 MSC Number: 

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