Flexural waves in a periodic non-uniform Euler-Bernoulli beam: Analysis for arbitrary contour profiles and applications to wave control

Li, Peng; Biwa, Shiro

doi:10.1016/j.ijmecsci.2020.105948

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International Journal of Mechanical Sciences

2020

DOI: 10.1016/j.ijmecsci.2020.105948

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Flexural waves in a periodic non-uniform Euler-Bernoulli beam: Analysis for arbitrary contour profiles and applications to wave control

Peng Li

Shiro Biwa

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Cited by 19 publications

References 53 publications

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Numerical analysis of fractional‐order Euler–Bernoulli beam model under composite model

Zhu,

Ma,

Zhang

et al. 2024

Math Methods in App Sciences

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The primary objective of this study is to develop a new constitutive model by combining a fractional‐order Kelvin–Voigt model with an Abel dashpot element in parallel. Subsequently, this new model will be incorporated into the Euler–Bernoulli beam's governing equation, utilizing shifted Legendre polynomials as basis functions, a classical orthogonal polynomial system, to solve the fractional‐order partial differential equations. By comparing the numerical solutions with the analytical solutions, we aim to evaluate the applicability of shifted Legendre polynomials in solving such problems and the accuracy of the obtained numerical solutions. Furthermore, we will investigate the performance of viscoelastic HDPE beams under different loading conditions and conduct a comparative analysis of the displacements of HDPE beams under the new constitutive model and the traditional fractional‐order Kelvin–Voigt model. Through this research, we hope to gain a deeper understanding of the characteristics of fractional‐order phenomena and provide more accurate and efficient numerical simulation and analysis methods for the field of structural mechanics, promoting the development of related engineering applications.

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Numerical analysis of fractional‐order Euler–Bernoulli beam model under composite model

Zhu,

Ma,

Zhang

et al. 2024

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

Research on the tunability of longitudinal wave resonance rainbow trapping in the periodic non-uniform magnetostrictive rods

Deng,

Zhao,

Jin

2024

Acta Mech

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Flexural-wave-generation using a phononic crystal with a piezoelectric defect

Jo,

Lee

2023

Appl. Math. Mech.-Engl. Ed.

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Flexural waves in a periodic non-uniform Euler-Bernoulli beam: Analysis for arbitrary contour profiles and applications to wave control

Cited by 19 publications

References 53 publications

Numerical analysis of fractional‐order Euler–Bernoulli beam model under composite model

Numerical analysis of fractional‐order Euler–Bernoulli beam model under composite model

Research on the tunability of longitudinal wave resonance rainbow trapping in the periodic non-uniform magnetostrictive rods

Flexural-wave-generation using a phononic crystal with a piezoelectric defect

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