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1 results

  • Chapter 1 - Preliminaries

  • from Part I - Frequency Domain Dynamics
  • Armin W. Troesch, University of Michigan, Ann Arbor
  • Book:
    Introduction to Marine Dynamics
    Published online:
    31 October 2024
    Print publication:
    30 May 2024, pp 3-20

  • Summary

    This chapter is intended to review concepts that the reader has some familiarity with and introduce high level descriptions of linear marine systems analysis. An initial discussion on the similarity between mechanical vibration equations of motion and marine dynamical systems is made. Mechanical vibrations are defined as vibrations in the absence of fluids. Examples of static and dynamic coupling between the various modes of motion or degrees of freedom are presented. The differences between frequency domain and time domain representations are given by introducing the concept of response amplitude operators (RAO’s). Complex arithmetic and linear, second order differential equations are briefly reviewed. Two examples of mechanical vibrations that are relevant to marine dynamics are developed and solved. The first example has to do with base excitation, similar to what a high speed planing craft may experience in long waves. The second example addresses one method for vibration isolation/suppression, that may, or may not, be useful in shock/impact mitigation schemes.