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Damping Potential, Generalized Potential, and D’Alembert’s Principle

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Iranian Journal of Science and Technology, Transactions of Mechanical Engineering Aims and scope Submit manuscript

Abstract

An alternative form of Lagrange’s equations is used to introduce a new equation for deriving a monogenic force from a velocity-dependent potential. Based on this and corresponding to a linear damping force, a bilinear potential function is introduced, which obviates the need for a dissipation function to represent a damping force. This idea is then generalized by introducing a generalized potential function which allows D’Alembert’s principle, Lagrange’s equations, and Hamilton’s principle to be represented solely in terms of potential functions. The introduced potential functions and equations are used to derive motion equations of a floating body.

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Authors and Affiliations

  1. Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

    Keyvan Sadeghi

  2. Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow, UK

    Atilla Incecik

Authors
  1. Keyvan Sadeghi
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  2. Atilla Incecik
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Correspondence to Keyvan Sadeghi.

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Sadeghi, K., Incecik, A. Damping Potential, Generalized Potential, and D’Alembert’s Principle. Iran J Sci Technol Trans Mech Eng 45, 311–319 (2021). https://doi.org/10.1007/s40997-020-00350-z

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  • DOI: https://doi.org/10.1007/s40997-020-00350-z

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