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Lagrangian description and numerical analysis of a discrete model of flexible systems

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Abstract

An approach is proposed to derive the equations of motion for one-dimensional discrete-continuous flexible systems with one-sided deformation characteristics. To implement this approach, the stationarity principle is generalized to dynamic problems. Solution algorithms are based on cubic spline functions. The capabilities of the approach are demonstrated by the example of a beacon buoy connected by a flexible tether to a submersible that moves along a prescribed trajectory.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    N. A. Shul’ga & A. I. Bezverkhii

Authors
  1. N. A. Shul’ga
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  2. A. I. Bezverkhii
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Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 107–116, December 2004.

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Shul’ga, N.A., Bezverkhii, A.I. Lagrangian description and numerical analysis of a discrete model of flexible systems. Int Appl Mech 40, 1398–1404 (2004). https://doi.org/10.1007/s10778-005-0046-z

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  • DOI: https://doi.org/10.1007/s10778-005-0046-z

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