Hamilton-Jacobi formalism of holonomic and nonholonomic constraints

Other Title(s)

صيغة هاميلتون جاكوبي للقيود التامة و غير التامة

Dissertant

Abu Ghaliyah, Usamah Uthman Abd

Thesis advisor

Hijjawi, Raid Shakir Abd al-Karim
al-Nawafilah, Khalid Isa

Comitee Members

Gharibah, Ismail Ahmad
Jaradat, Imad Khalid Yusuf
Jawdah, Bassam rajab

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2011

English Abstract

We have investigated equations of motion for systems that possesses the structure of holonomic and nonholonomic constraints.

The dynamical equations of motion are derived from Hamilton's principle for systems which are subject to general holonomic and non-holonomic constraints.

We have used the Hamilton-Jacobi method and the method of canonical transformations; to construct these equations which are integrable.

Inaddition we saw that the equations of motion that obtained by the Hamilton-Jacobi methods are equivalent to those which obtained by the Lagrange-d’Alembert principle.

We apply the method of separation of variables to obtain the Hamilton–Jacobi function; this method facilitates the integration of the Hamilton-Jacobi equation.

As special cases to which the Hamiltonian will be time-dependent; we saw it is possible to separate the variables in the Hamilton-Jacobi technique which becomes a useful computational tool when such a separation can be effected.

Main Subjects

Physics

No. of Pages

31

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-786513