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A study on stochastic aeroelastic stability and flutter reliability of a wing

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Abstract

In this work, the stochastic aeroelastic stability and flutter reliability of a wing are investigated using the stochastic finite element method in conjunction with the first order reliability method (FORM). Three stability conditions are proposed for estimating flutter onset in aeroelastic systems in the presence of uncertainties. Here, stability conditions are represented as limit state functions and defined in conditional sense on flow velocity for flutter reliability studies. Due to various representation of limit states, a lack of invariance in reliability estimates is observed using the conventional flutter reliability approach such as the first order second moment method. In this paper, a general FORM is proposed, which is suitable for all the limit state functions considered and shows invariance in reliability estimates. The proposed approach is applied to a wing having uncertain stiffness parameters, modeled by either random variables or random fields. Random fields are represented by a Karhunen–Loeve expansion, and the effect of correlation length on the flutter reliability of the wing is discussed. The computational efficiency of the FORM algorithm for various limit states in comparison of MCS is also discussed.

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This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

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Authors and Affiliations

  1. Structural Technological Division, CSIR-National Aerospace Laboratories, Old Airport Road, Bengaluru, Karnataka, 560017, India

    Sandeep Kumar, Amit Kumar Onkar & M. Manjuprasad

  2. Faculty of Engineering, Academy of Scientific and Innovative Research (AcSIR), Kamla Nehru Nagar, Ghaziabad, Uttar Pradesh, 201002, India

    Sandeep Kumar, Amit Kumar Onkar & M. Manjuprasad

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  1. Sandeep Kumar
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Correspondence to Amit Kumar Onkar.

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SK: Conceptualization, Methodology, Formal analysis, Visualization, Validation, Writing—original draft and editing. AKO: Investigation, Writing—review and editing, Supervision, Resourses. MM: Writing—review and editing, Supervision, Resources.

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Kumar, S., Onkar, A.K. & Manjuprasad, M. A study on stochastic aeroelastic stability and flutter reliability of a wing. Acta Mech 234, 6649–6675 (2023). https://doi.org/10.1007/s00707-023-03727-8

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  • DOI: https://doi.org/10.1007/s00707-023-03727-8

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