Two-input two-output port model for mechanical systems

Alazard, Daniel; Gonzalez, José Alvaro Perez; Loquen, Thomas; Cumer, Christelle

doi:10.2514/6.2015-1778

Cited by 30 publications

(34 citation statements)

References 9 publications

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“…[28] is based on the Craig-Bampton method [34] (particular case of CMS method) where the dynamic analysis is performed by a modal approach. The formalization used in this paper is based on Girard and Roy's synthesis [23].…”

Section: Formalism Of the Dynamic Analysismentioning

confidence: 99%

“…In TITOP approach [28,29] a previous coordinate transformation before starting the modal analysis by Eq. (3) allows us to have a largely simplified equivalent version of the problem in Eq.…”

Section: Formalism Of the Dynamic Analysismentioning

confidence: 99%

“…As a consequence the representation of multiple flexible body in chain-like configuration was not technically possible. The Two-Input Two-Output (TITOP) Port model, proposed for the first time by Alazard et al [28], finally overcame this limitation. It conceives the dynamic model of each substructure as a transfer between the accelerations and the external forces at each connection point in a state-space form.…”

Section: Introductionmentioning

confidence: 99%

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Finite element based N-Port model for preliminary design of multibody systems

Sanfedino

Alazard

Pommier-Budinger

et al. 2018

Journal of Sound and Vibration

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Keywords: Multibody dynamics Mechanical preliminary design Bending plate Model reduction a b s t r a c tThis article presents and validates a general framework to build a linear dynamic Finite Element-based model of large flexible structures for integrated Control/Structure design. An extension of the Two-Input Two-Output Port (TITOP) approach is here developed. The authors had already proposed such framework for simple beam-like structures: each beam was considered as a TITOP sub-system that could be interconnected to another beam thanks to the ports. The present work studies bodies with multiple attaching points by allowing complex interconnections among several sub-structures in tree-like assembly. The TITOP approach is extended to generate NINOP (N-Input N-Output Port) models. A Matlab toolbox is developed integrating beam and bending plate elements. In particular a NINOP formulation of bending plates is proposed to solve analytic two-dimensional problems. The computation of NINOP models using the outputs of a MSC/Nastran modal analysis is also investigated in order to directly use the results provided by a commercial finite element software. The main advantage of this tool is to provide a model of a multibody system under the form of a block diagram with a minimal number of states. This model is easy to operate for preliminary design and control. An illustrative example highlights the potential of the proposed approach: the synthesis of the dynamical model of a spacecraft with two deployable and flexible solar arrays.

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Section: Formalism Of the Dynamic Analysismentioning

confidence: 99%

Section: Formalism Of the Dynamic Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Finite element based N-Port model for preliminary design of multibody systems

Sanfedino

Alazard

Pommier-Budinger

et al. 2018

Journal of Sound and Vibration

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“…As noted in Section 2.1, ICSD method with H ∞ control of a LSS needs a LFR representation of the different mechanical subsystems, so that parametric variations can be considered in the final plant model G(s). A correct and straightforward modeling technique of a multi-body flexible spacecraft is the Two-Input Two-Output Port (TITOP) modeling technique (Perez et al, 2015a;Alazard et al, 2015;Perez et al, 2015c,b), which allows casting different structural data (Finite Element Models, geometry, flexible modes) in the state-space domain, with the added possibility of including tunable variables. In substance, the different TITOP models of the different substructures can be easily assembled through load-acceleration transmission in order to reproduce the fully assembled LSS.…”

Section: Modeling Techniquementioning

confidence: 99%

“…TITOP models are ready-to-use block diagrams in which a state-space representation of the substructure is cast. The state-space realization is obtained through application of the Component Modes Synthesis (CMS) (Hurty, 1965) and the Double-Port Approach (DP) (Alazard et al, 2015) to the equations of motion of the substructure, illustrated in Fig. 2a.…”

Section: Modeling Techniquementioning

confidence: 99%

Integrated Control/Structure Design of a Large Space Structure using Structured H∞ Control

Vielma

Pittet

Alazard³

et al. 2016

IFAC-PapersOnLine

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This study presents the integrated control/structure design of a large flexible structure, the Extra Long Mast Observatory (ELMO). The integrated design is performed using structured H ∞ control tools, developing the Two-Input Two-Output Port (TITOP) model of the flexible multi-body structure and imposing integrated design specifications as H ∞ constraints. The integrated control/structure design for ELMO consists of optimizing simultaneously its payload mass and control system for low-frequency perturbation rejection respecting bandwidth requirements.

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