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Acta Mechanica Sinica

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29.11.2019 | Research Paper

Generalized stiffness and effective mass coefficients for power-law Euler–Bernoulli beams

verfasst von: Piotr Skrzypacz, Daulet Nurakhmetov, Dongming Wei

Erschienen in: Acta Mechanica Sinica | Ausgabe 1/2020

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Abstract

We extend the well-known concept and results for lumped parameters used in the spring-like models for linear materials to Hollomon’s power-law materials. We provide the generalized stiffness and effective mass coefficients for the power-law Euler–Bernoulli beams under standard geometric and load conditions. In particular, our mass-spring lumped parameter models reduce to the classical models when Hollomon’s law reduces to Hooke’s law. Since there are no known solutions to the dynamic power-law beam equations, solutions to our mass lumped models are compared to the low-order Galerkin approximations in the case of cantilever beams with circular and rectangular cross-sections.

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Titel: Generalized stiffness and effective mass coefficients for power-law Euler–Bernoulli beams
verfasst von: Piotr Skrzypacz
Daulet Nurakhmetov
Dongming Wei
Publikationsdatum: 29.11.2019
Verlag: The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Erschienen in: Acta Mechanica Sinica / Ausgabe 1/2020
Print ISSN: 0567-7718
Elektronische ISSN: 1614-3116
DOI: https://doi.org/10.1007/s10409-019-00912-8

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