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General Curved Beam Element Examples

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An Isogeometric Approach to Beam Structures
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Abstract

In this chapter, the isogeometric approach is applied to general curved beam element. The general curved beams considered in this section include parabolic, elliptical, and sinusoidal shapes. The numerical solutions for some examples in free vibration problems are presented and compared with the results of published studies.

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References

  • Luu AT, Kim NI, Lee J (2015) Isogeometric vibration analysis of free-form Timoshenko curved beams. Meccanica 50(1):169–187

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  • Veletsos W, Austin W (1973) Free vibration of arches flexible in shear. J Engrg Mech ASCE 99:735–753

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  • Yang F, Sedaghati R, Esmailzadeh E (2008) Free in-plane vibration of general curved beams using finite element method. J Sound Vib 318:850–867

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Gan, B.S. (2018). General Curved Beam Element Examples. In: An Isogeometric Approach to Beam Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-56493-7_8

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  • DOI: https://doi.org/10.1007/978-3-319-56493-7_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56492-0

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