Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study



Document title: Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study
Journal: Journal of the Brazilian Society of Mechanical Sciences
Database: PERIÓDICA
System number: 000312111
ISSN: 0100-7386
Authors: 1
2
3
4
Institutions: 1Instituto Nacional de Pesquisas Espaciais, Centro Tecnico Aeroespacial, Sao Jose dos Campos, Sao Paulo. Brasil
2Universidade Estadual Paulista "Julio de Mesquita Filho", Rio Claro, Sao Paulo. Brasil
3Virginia Polytechnic Institute and State University, Blacksburg, Virginia. Estados Unidos de América
4Pontificia Universidade Catolica do Rio de Janeiro, Departamento de Engenharia Mecanica, Rio de Janeiro. Brasil
Year:
Season: Jul
Volumen: 24
Number: 3
Pages: 239-250
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract In this paper is Analyzed the local dynamical behavior of a slewing flexible structure considering nonlinear curvature. The dynamics of the original (nonlinear) governing equations of motion are reduced to the center manifold in the neighborhood of an equilibrium solution with the purpose of locally study the stability of the system. In this critical point, a Hopf bifurcation occurs. In this region, one can find values for the control parameter (structural damping coefficient) where the system is unstable and values where the system stability is assured (periodic motion). This local analysis of the system reduced to the center manifold assures the stable / unstable behavior of the original system around a known solution
Disciplines: Ingeniería,
Matemáticas
Keyword: Ingeniería de control,
Matemáticas aplicadas,
Rotación,
Estabilidad,
Equilibrio,
Sistemas dinámicos,
Estructuras,
Curvatura,
Sistemas no lineales
Keyword: Engineering,
Mathematics,
Control engineering,
Applied mathematics,
Rotation,
Stability,
Equilibrium,
Dynamical systems,
Structures,
Curvature,
Nonlinear systems
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