Link to the University of Pittsburgh Homepage
Link to the University Library System Homepage Link to the Contact Us Form

On the Dynamics of a Rigid Body with Cavities Completely Filled by a Viscous Liquid

Mazzone, Giusy (2016) On the Dynamics of a Rigid Body with Cavities Completely Filled by a Viscous Liquid. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

Updated Version

Download (3MB)


This thesis deals with the dynamics of a coupled system comprised of a rigid body containing one or more cavities entirely filled with a viscous liquid. We will present a rigorous mathematical analysis of the motions about a fixed point of this system, with special regard to their asymptotic behavior in time.
In the case of inertial motions and motions under the action of gravity, we will show that viscous liquids have a stabilizing effect on the motion of the solid. The long-time behavior of the coupled is characterized by a rigid body motion, and in particular a permanent rotation in the case of inertial motions, and the rest state in the case of a liquid-filled heavy pendulum. Some questions about the attainability and stability of the equilibrium configurations are also answered.
Furthermore, we will investigate the time-periodic motions performed by the coupled system liquid-filled rigid body when a time-periodic torque is applied on the solid.


Social Networking:
Share |


Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Mazzone, Giusygim20@pitt.eduGIM20
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Thesis AdvisorGaldi, G.P.
Committee MemberSlaughter IV, W.
Committee MemberHieber, H.
Committee MemberLewicka, M.
Committee MemberFriedlander, S.
Date: 15 June 2016
Date Type: Publication
Defense Date: 24 March 2016
Approval Date: 15 June 2016
Submission Date: 18 March 2016
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 122
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Mechanical Engineering and Materials Science
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Liquid-filled cavity, Navier-Stokes equations, rigid body, inertial motions, pendulum, attainability, stability, periodic motions.
Date Deposited: 15 Jun 2016 19:49
Last Modified: 15 Nov 2016 14:32


Monthly Views for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item