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Static Response and Buckling Loads of Multilayered Composite Beams Using the Refined Zigzag Theory and Higher-Order Haar Wavelet Method

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Mechanics of Composite Materials Aims and scope

The paper presents a review of Haar wavelet methods and an application of the higher-order Haar wavelet method to study the behavior of multilayered composite beams under static and buckling loads. The Refined Zigzag Theory (RZT) is used to formulate the corresponding governing differential equations (equilibrium/stability equations and boundary conditions). To solve these equations numerically, the recently developed Higher-Order Haar Wavelet Method (HOHWM) is used. The results found are compared with those obtained by the widely used Haar Wavelet Method (HWM) and the Generalized Differential Quadrature Method (GDQM). The relative numerical performances of these numerical methods are assessed and validated by comparing them with exact analytical solutions. Furthermore, a detailed convergence study is conducted to analyze the convergence characteristics (absolute errors and the order of convergence) of the method presented. It is concluded that the HOHWM, when applied to RZT beam equilibrium equations in static and linear buckling problems, is capable of predicting, with a good accuracy, the unknown kinematic variables and their derivatives. The HOHWM is also found to be computationally competitive with the other numerical methods considered.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    M. Sorrenti & M. Di Sciuva

  2. Department of Mechanical and Industrial Engineering, Tallinn University of Technology, Tallinn, Estonia

    J. Majak & F. Auriemma

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  1. M. Sorrenti
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  2. M. Di Sciuva
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  3. J. Majak
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  4. F. Auriemma
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Correspondence to M. Sorrenti.

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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 57, No. 1, pp. 3-26, January-February, 2021.

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Sorrenti, M., Di Sciuva, M., Majak, J. et al. Static Response and Buckling Loads of Multilayered Composite Beams Using the Refined Zigzag Theory and Higher-Order Haar Wavelet Method. Mech Compos Mater 57, 1–18 (2021). https://doi.org/10.1007/s11029-021-09929-2

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