Optical mechanical analogy and Hamiltonization of a nonholonomic system
نویسندگان
چکیده
منابع مشابه
Nonholonomic Hamilton–jacobi Theory via Chaplygin Hamiltonization
We develop Hamilton–Jacobi theory for Chaplygin systems, a certain class of nonholonomic mechanical systems with symmetries, using a technique called Hamiltonization, which transforms nonholonomic systems into Hamiltonian systems. We give a geometric account of the Hamiltonization, identify necessary and sufficient conditions for Hamiltonization, and apply the conventional Hamilton–Jacobi theor...
متن کاملNonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization
This document is a brief overview of the Hamilton-Jacobi theory of Chaplygin systems based on [1]. In this paper, after reducing Chaplygin systems, Ohsawa et al. use a technique that they call Chaplygin Hamiltonization to turn the reduced Chaplygin systems into Hamiltonian systems. This method was first introduced in a paper by Chaplygin in 1911 where he reduced some nonholonomic systems by the...
متن کاملThe Hojman Construction and Hamiltonization of Nonholonomic Systems
In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them.
متن کاملdetermination of some physical and mechanical properties red bean
چکیده: در این تحقیق، برخی خواص فیزیکی و مکانیکی لوبیا قرمز به-صورت تابعی از محتوی رطوبت بررسی شد. نتایج نشان داد که رطوبت بر خواص فیزیکی لوبیا قرمز شامل طول، عرض، ضخامت، قطر متوسط هندسی، قطر متوسط حسابی، سطح تصویر شده، حجم، چگالی توده، تخلخل، وزن هزار دانه و زاویه ی استقرار استاتیکی در سطح احتمال 1 درصد اثر معنی داری دارد. به طوری که با افزایش رطوبت از 54/7 به 12 درصد بر پایه خشک طول، عرض، ضخام...
15 صفحه اولThe Kinematic Car: Teaching Undergraduates Nonholonomic Mechanical System Basics
The project-based undergraduate J-term course Kinematics and Mechanism Design is described, both technically and from a pedagogy point of view. In this course students discovered the kinematic car, a classic example of a nonholonomic mechanical system that everyone can relate to; especially mechanical engineering students. Technical work entailed kinematic modeling using MATLAB/SIMULINK and CAD...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2013
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.88.013204