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Tensegrity for Mechanical Application: Vibration

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Abstract

This chapter deals with the vibration of tensegrity members. The exact solution of structural dynamic-related problems can be achieved by using the frequency-dependent spectral method. This chapter investigates the vibrational characteristics of a tensegrity. The tensegrity, which is modeled by a compressive strut and tensile cable elements, is solved by using the spectral element method (SEM). Natural frequencies of the tensegrity are computed using the Wittrick-Williams algorithm. Numerical comparisons are given to show the effectiveness, efficiency, and accuracy of the SEM.

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References

  • Banerjee JR (1977) Dynamic stiffness formulation for structural elements: a general approach. Comp Struct 63(1):101–103

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  • Narayanan GV, Beskos DE (1978) Use of dynamic influence coefficients in forced vibration problems with the aid of fast Fourier transform. Comp Struct 9(2):145–150

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  • Wittrick WH, Williams FW (1971) A general algorithm for computing natural frequencies of elastic structures. Q J Mech Appl Math 24(3):263–284

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Further Reading

  • Doyle JF (1997) Wave propagation in structures: spectral analysis using fast discrete Fourier transforms. Springer, New York

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  • Lee U (2009) Spectral element method in structural dynamics. John Wiley & Sons (Asia) Pte Ltd, Singapore

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  • Leung AYT (1993) Dynamic stiffness and substructures. Springer, London

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Gan, B.S. (2020). Tensegrity for Mechanical Application: Vibration. In: Computational Modeling of Tensegrity Structures. Springer, Cham. https://doi.org/10.1007/978-3-030-17836-9_7

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  • DOI: https://doi.org/10.1007/978-3-030-17836-9_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-17835-2

  • Online ISBN: 978-3-030-17836-9

  • eBook Packages: EngineeringEngineering (R0)

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