Lagrangian and Hamiltonian formalism for non-material volumes

• Grant number: 13/02997-2
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: June 01, 2013
• End date: May 31, 2014
• Field of knowledge: Engineering - Mechanical Engineering
• Principal Investigator: Celso Pupo Pesce
• Grantee: Leonardo Casetta
• Supervisor: Hans Irschik
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Johannes Kepler University Linz (JKU), Austria
• Associated to the scholarship: 12/10848-4 - ADVANCED STUDIES ON THE MECHANICS OF VARIABLE MASS SYSTEMS, BP.PD

Abstract

Fundamental principles of mechanics were primarily conceived for constant mass systems and material volumes. The process of constructing a mathematical formalism that is adequate for variable-mass systems has so become an active and particular research field of mechanics. This plan of research goes toward this sense. It refers to a research specially dedicated to investigations regarding the elaboration of a proper Lagrangian and Hamiltonian formalism for non-material volumes (open systems and arbitrary control volumes). Papers are supposed to be submitted along a twelve months period of research, which is to be held in the Institute of Technical Mechanics, Johannes Kepler University, Linz, Austria. This does aim at the best attendance of the proposed goals for to the Postdoctoral Research Grant no 2012/10848-4. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CASETTA, LEONARDO; PESCE, CELSO P.. The inverse problem of Lagrangian mechanics for Meshchersky's equation. ACTA MECHANICA, v. 225, n. 6, p. 1607-1623, JUN 2014. (12/10848-4, 13/02997-2)

CASETTA, LEONARDO. The inverse problem of Lagrangian mechanics for a non-material volume. ACTA MECHANICA, v. 226, n. 1, p. 1-15, JAN 2015. (12/10848-4, 13/02997-2)

CASETTA, LEONARDO; IRSCHIK, HANS; PESCE, CELSO PUPO. A generalization of Noether's theorem for a non-material volume. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, v. 96, n. 6, p. 696-706, JUN 2016. (12/10848-4, 13/02997-2)