FLEXIBLE MULTIBODY DYNAMICS

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Motivation

Multibody simulators are widely used for predincting the kinematic and dynamic behaviour of a great variety of multibody systems at avery design step, from the early conceptual up to the prototipe level. This type of computational tools are extremely useful at any of these design stages, providing a deep engineering insight of the mechanical factors involved.

The traditional approach of these tools is to consider all the components as perfectly rigid. Nevertheless, there are an increasing engineering applications that demand an accurate representation of the deformability of some of the parts, as appears, for instance, in the automotive, aerospace and robotic industries.

This research focuses on the development of efficient computational tools capable of representing the dynamics of multibody systems composed by both rigid and deformable parts, applying Finite Element techniques and special algorithms for the numerical time integration of the equations of motion.

Researchers

Related publications

García Orden, J.C. Analysis of joint clearances in multibody systems. Aceptado en Multibody System Dynamics (Kluwer), June 2004
Goicolea, J.M., García Orden, J.C. Quadratic and higher-order constraints in energy-conserving formulations in flexible multibody systems . Multibody System Dynamics (Kluwer). Vol. 7, pp. 3-29, 2002.
García Orden, J.C., Goicolea, J.M. An energy-momentum algorithm for flexible multibody systems with finite element techniques. Computer Assisted Mechanics and Engineering Sciences (Polish Academy of Sciences). Vol.8, pp. 313-324, 2001.
Goicolea, J.M., García Orden, J.C. Dynamic Analysis of Rigid and Deformable Multibody Systems with Penalty Methods and Energy-Momentum Schemes. Computer Methods in Applied Mechanics and Engineering (Elsevier). Vol. 188, issue 4, pp. 789-804, 2000.
García Orden, J.C., Goicolea, J.M. Conserving properties in constrained dynamics of flexible multibody systems. Multibody System Dynamics (Kluwer). Vol. 4, pp. 225-244, 2000.
Martínez Calzón, J., Goicolea, J.M., Pozo, C., García Orden, J.C., Ladrón de Guevara, G. Diseño conceptual de la estructura del Gran Telescopio de Canarias, de 10 m de diámetro, para el observatorio del Roque de los Muchachos. Revista de Obras Públicas, no. 3395, pp. 22-31, 2000.
Tesis doctoral (1999). Dinámica no lineal de mecanismos flexibles mediante algoritmos conservativos. Índice (113.6 KB)

Energy conserving formulation of non-linear constraints in flexible multibody systems. (J.C. García Orden, José M. Goicolea, J.José Arribas). European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2000) 11-14 Septiembre 2000, Barcelona.
An energy-momentum algorithm for flexible multibody systems with finite element techniques. (J.C. García Orden and José M. Goicolea). II International Workshop of the Trefftz Method. 15-17 September 1999, Sintra, Portugal
Análisis dinámico de mecanismos flexibles en régimen no lineal (J.M. Goicolea y J.C. García Orden). Congreso argentino de mecánica computacional (MECOM'99) 6-10 de Septiembre de 1999. Mendoza, Argentina
Non-frictional Contacts in Multibody Dynamics with Conserving Schemes. (J.C. García Orden and J.M. Goicolea). European Conference on Computational Mechanics (ECCM). 31 Agosto - 3 Septiembre. Munich (Alemania), 1999.
Dinámica No Lineal de Sistemas Multicuerpo Flexibles con Algoritmos Conservativos Energía-Momento. (J.M. Goicolea y J.C. García Orden). IV Congreso de Métodos Numéricos en Ingeniería, Sevilla. 7 al 10 de junio de 1999.
Conserving Properties in Multibody Dynamics with the Penalty Method (J.C. García Orden, Jose M. Goicolea y J.J. Arribas). IV Congreso Mundial de Mecánica Computacional. Buenos Aires (Argentina), 29 de junio al 2 de julio de 1998.
Análisis Dinámico de Mecanismos con Cuerpos Rígidos y Deformables mediante el Método de Penalización (J.C. García Orden y J.J. Arribas). Anales de Ingeniería Mecánica. Actas del XII Congreso Nacional de Ingeniería Mecánica. Bilbao, 5 al 7 de Febrero de 1997.
Análisis de Mecanismos con Cuerpos Rígidos y deformables en Régimen no lineal (J.C. García Orden, J.M. Goicolea y J.J. Arribas). Métodos Numéricos en Ingeniería. Actas del III Congreso de Métodos Numéricos en Ingeniería. Zaragoza, 3-6 de Junio de 1996.

Gallery

All movies show actual calculations performed with the in-house program EPI

Impact of a sphere againts a rigid wall. Half of the sphere is rigid, the other half is a deformable truss structure. Movie GIF 116 KB
Cantilever elastomeric solid beam under gravity. Large displacements and strains. Movie GIF 920 KB
Impact of an elastomeric membrane against a rigid wall. Large displacements and strains. Movie GIF 631 KB
Multiple impacts of an elastomeric prism inside a rigid cavity. Movie MPEG 2.68 MB
Heavy top. Movie MPEG 1.11 MB
Swing. Each chain is composed by 15 rigid articulated links Movie MPEG 3.45 MB
Vehicle with deformable chassis over alternated obstacles. Movie MPEG 2.64 MB
Cloth model. Membrane folding under gravity. Movie MPEG 5.5 MB

Grupo de Mecánica Computacional Universidad Politécnica de Madrid

Last update: 25/08/2004