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Planing craft modeling in forward acceleration mode and minimisation of time to reach final speed

Azizi Yengejeh, M ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1080/17445302.2014.889370
  3. Publisher: Taylor and Francis Ltd , 2015
  4. Abstract:
  5. Properly adjusting the trim angle during the craft speed up will be extremely important in special cases as in sports competitions or military missions. In such applications, the goal of trim adjustment is to reach final speed in a minimum possible time which is an advantage to just passing the resistance hump. Present study tries to provide insight into how the angles of the drive system and trim tab of a planing craft should be changed during speed up so as to minimise the time to reach the final speed. This is a time-optimal control problem with the drive and trim tab angles as the control variables. Optimal control theory has been used previously for the motion control of marine vessels in the applications such as seakeeping, manoeuvring and navigation. This study introduces a new application of this theory for increasing the craft speed performance.Conventional empirical relations are used in the equations of motion for calculating hydrodynamic forces to develop the dynamic model. To calculate the forces due to the propulsion system, attempts are made to take into account the propeller, the drive system and the engine concurrently in a simplified manner. The solution algorithm is explained and the results for a planing vessel with two different longitudinal centers of gravity are presented. Optimal solution for control variables shows a simultaneity and similarity in trend with the hull instantaneous trim angle. However, the optimal signals are restricted by upper physical margins
  6. Keywords:
  7. Resistance hump ; Equations of motion ; Marine applications ; Optimal control systems ; Propulsion ; Sailing vessels ; planing ; Pontryagin minimum principle ; Sterndrive ; Time optimal control ; Trim tab ; Speed
  8. Source: Ships and Offshore Structures ; Volume 10, Issue 2 , 2015 , Pages 132-144 ; 17445302 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/17445302.2014.889370