A Study on the Feasibility of Using Fractional Differential Equations for Roll Damping Models

An optimization algorithm has been developed to study the effectiveness of substituting time tested ODEs with FDEs as applied to ship motions, specifically with an eye toward modeling different forms of roll damping. Relations between the order of differentiation a and damping coefficient b in the FDEs have been drawn for changing damping, added moment of inertia, and initial roll angle. A pitch model has also been studied and compared to the roll model. The error at each of these a and b pairs has also been calculated using an L2-norm. An initial effort was made to correlate the FDE coefficients to differing mechanisms of roll damping as characterized by Himeno.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Aerospace Engineering

Department dc:contributor.department

Aerospace and Ocean Engineering

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2015

Author dc:creator

• Agarwal, Divyanshu

Chair dc:contributor.committeechair

• McCue-Weil, Leigh S.

Committee members dc:contributor.committeemember

• Woolsey, Craig A.
• Sultan, Cornel

• Fractional Differential Equation
• Damping
• Roll
• Pitch

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

vt_gsexam:5653

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/52959