Treatment of holonomic constraints as regular systems
Author
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 18, Issue 4 (31 Dec. 2003), pp.121-130, 10 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2003-12-31
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Abstract AR
في هذا العمل نعالج القيود الهولونومية باعتبارها نظاما شاذا.
ناقشنا كيف يمكن تحويل هذا النظام الشاذ إلى آخر نظامي.
إن الأساس الذي اعتمدناه هنا هو إمكانية استبدال بالقيود الهولونومية في تابع لا جرائج المنفرد مشتقاتها الزمنية و هذا ما يكافئ استخدام فرط الانسجام الأول في طريقة ديراك.
و بذلك فإن تابع لا حرائج المركب الجديد يصبح نظاميا في القضاء الطوري الممتد و الذي يمكن معالجته بالطرق المعروفة.
إن هذا يمكننا من تكوين تابع هاميلتون للقيود الهولونومية، و بالتالي فإن معادلات الحركة يمكن الحصول عليها من تابع هاميلتون هذا.
Abstract EN
In this work we treat holonomic constraints as a singular system.
We discuss how to transform this singular system into a regular one.
The formalism described here relies on the possibility of replacing the holonomic constraints in the singular Lagrangian with their time derivatives which is equivalent to the first consistency condition in Dirac,s method.
The new constructed Lagrangian becomes regular in an extended phase space which can be treated using standard methods.
This enables us to formulate the Hamiltonian for holonomic constraints, and the equations of motion can be obtained from this Hamiltonian.
American Psychological Association (APA)
Nawafilah, Khalid I.. 2003. Treatment of holonomic constraints as regular systems. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 18, no. 4, pp.121-130.
https://search.emarefa.net/detail/BIM-366916
Modern Language Association (MLA)
Nawafilah, Khalid I.. Treatment of holonomic constraints as regular systems. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 18, no. 4 (2003), pp.121-130.
https://search.emarefa.net/detail/BIM-366916
American Medical Association (AMA)
Nawafilah, Khalid I.. Treatment of holonomic constraints as regular systems. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2003. Vol. 18, no. 4, pp.121-130.
https://search.emarefa.net/detail/BIM-366916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 130
Record ID
BIM-366916