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Universidade de São Paulo (USP). Escola Politécnica (EP)
(Institutional affiliation for the last research proposal)

Birthplace:
Brazil

Leonardo Casetta in research grants and scholarships supported by FAPESP.

Scholarships in Brazil

- Advanced studies on the mechanics of variable mass systems, BP.PD
### Abstract

Variable mass systems mechanics is the branch of Mechanics within systems which show variation in the amount of mass to them associated are considered. There is an inherent issue in the treatment of this kind of system. Principles of Mechanics were originally conceived for constant mass systems. Thus, the prime form of the representative equations of such principles cannot be straightly...

Scholarships abroad

- Lagrangian and Hamiltonian formalism for non-material volumes, BE.EP.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 regardin...

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| Completed scholarships in Brazil |

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| Completed scholarships abroad |

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| All Scholarships |

Associated processes |

(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)

Publications | 12 |

Citations | 85 |

Cit./Article | 7.1 |

Data from Web of Science |

CASETTA, LEONARDO. A theorem on energy integrals for linear second-order ordinary differential equations with variable coefficients.** Applied Mathematics Letters**, v. 51, p. 8-12, JAN 2016. Web of Science Citations: 2. (12/10848-4)

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. Web of Science Citations: 15. (12/10848-4, 13/02997-2)

PESCE, CELSO P.; CASETTA, LEONARDO; DOS SANTOS, FLAVIA M.. Equation of Motion Governing the Dynamics of Vertically Collapsing Buildings.** JOURNAL OF ENGINEERING MECHANICS-ASCE**, v. 138, n. 12, p. 1420-1431, DEC 2012. Web of Science Citations: 6. (10/07008-9)

CASETTA, LEONARDO. Theorem on a new conservation law for the dynamics of a position-dependent mass particle.** ACTA MECHANICA**, v. 228, n. 1, p. 351-355, JAN 2017. Web of Science Citations: 2. (12/10848-4)

CELSO P. PESCE; EDUARDO A. TANNURI; LEONARDO CASETTA. The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering.** Journal of the Brazilian Society of Mechanical Sciences and Engineering**, v. 28, n. 4, p. -, Dez. 2006.

SANTOS, FLAVIA M.; CASETTA, LEONARDO; PESCE, CELSO P.. Application of a variational method to the vertical hydrodynamic impact of axisymmetric bodies.** APPLIED OCEAN RESEARCH**, v. 39, p. 75-82, 2013. Web of Science Citations: 3. (10/07008-9)

CASETTA, LEONARDO. Note on a Noetherian conservation law and its corresponding general class of nonlinear second-order ordinary differential equations.** ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK**, v. 97, n. 2, p. 240-246, FEB 2017. Web of Science Citations: 0. (12/10848-4)

CASETTA, LEONARDO; PESCE, CELSO P.. A brief note on the analytical solution of Meshchersky's equation within the inverse problem of Lagrangian mechanics.** ACTA MECHANICA**, v. 226, n. 7, p. 2435-2439, JUL 2015. Web of Science Citations: 4. (12/10848-4)

CASETTA, LEONARDO; PESCE, CELSO P.. The generalized Hamilton's principle for a non-material volume.** ACTA MECHANICA**, v. 224, n. 4, p. 919-924, APR 2013. Web of Science Citations: 19. (12/10848-4)

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. Web of Science Citations: 11. (12/10848-4, 13/02997-2)

CASETTA, LEONARDO. Geometric theory on the dynamics of a position-dependent mass particle.** ACTA MECHANICA**, v. 227, n. 6, p. 1519-1532, JUN 2016. Web of Science Citations: 5. (12/10848-4)

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

CASETTA, LEONARDO; PESCE, CELSO P.. On Seliger and Whitham's variational principle for hydrodynamic systems from the point of view of `fictitious particles'.** ACTA MECHANICA**, v. 219, n. 1-2, p. 181-184, JUN 2011. Web of Science Citations: 3.

(References retrieved automatically from State of São Paulo Research Institutions)

CASETTA, Leonardo. Contribuições à mecânica dos sistemas de massa variável.. 2008. Tese (Doutorado) – Escola Politécnica. Universidade de São Paulo (USP). São Paulo.

Please report errors in researcher information by writing to:
cdi@fapesp.br.