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Dynamics of a rope modeled as a discrete system with extensible members

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Abstract

A discrete model of a rope with extensible members, involving a simple spring-mass conception, is considered. Lagrange’s equations of motion are presented and their complexity is discussed from the computational point of view. Numerical experiments are performed for a system with both scleronomic and rheonomic constraints. Simulated behaviour of the model is analyzed mostly in terms of consequences of the extensible character of the system. Results validity is examined with use of basic energy principles.

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Authors and Affiliations

  1. Computational Mechanics of Structures, Poznań University of Technology, Piotrowo 3, 60-965, Poznan, Poland

    Paweł Fritzkowski

  2. Institute of Applied Mechanics, Poznań University of Technology, Piotrowo 3, 60-965, Poznan, Poland

    Henryk Kamiński

Authors
  1. Paweł Fritzkowski
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  2. Henryk Kamiński
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Correspondence to Paweł Fritzkowski.

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Fritzkowski, P., Kamiński, H. Dynamics of a rope modeled as a discrete system with extensible members. Comput Mech 44, 473–480 (2009). https://doi.org/10.1007/s00466-009-0387-2

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  • DOI: https://doi.org/10.1007/s00466-009-0387-2

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