Inverse dynamics of serial and parallel underactuated multibody systems using a DAE optimal control approachGuimaraes Bastos Junior, Guaraci ; ; Bruls, Olivier ![]() in Multibody System Dynamics (2013) The inverse dynamics analysis of underactuated multibody systems aims at determining the control inputs in order to track a prescribed trajectory. This paper studies the inverse dynamics of non-minimum ... [more ▼] The inverse dynamics analysis of underactuated multibody systems aims at determining the control inputs in order to track a prescribed trajectory. This paper studies the inverse dynamics of non-minimum phase underactuated multibody systems with serial and parallel planar topology, e.g. for end-effector control of flexible manipulators or manipulators with passive joints. Unlike for minimum phase systems, the inverse dynamics of non-minimum phase systems cannot be solved by adding trajectory constraints (servoconstraints) to the equations of motion and applying a forward time integration. Indeed, the inverse dynamics of a non-minimum phase system is known to be non-causal, which means that the control forces and torques should start before the beginning of the trajectory (preactuation phase) and continue after the end-point is reached (post-actuation phase). The existing stable inversion method roposed for general nonlinear non-minimum phase systems requires to derive explicitly the equations of the internal dynamics and to solve a boundary value problem. This paper proposes an alternative solution strategy which is based on an optimal control approach using a direct transcription method. The method is illustrated for the inverse dynamics of an underactuated serial manipulator with rigid links and four degrees-of-freedom and an underactuated parallel machine. An important advantage of the proposed approach is that it can be applied directly to the standard equations of motion of multibody systems either in ODE or in DAE form. Therefore, it is easier to implement this method in a general purpose simulation software. [less ▲] Detailed reference viewed: 14 (8 ULg) L'apport de l'analyse biomécanique 3-D dans les stratégies préventives à partir de 2 exemplesSchwartz, Cédric ; Croisier, Jean-Louis ; Tubez, François et alin Julia, M; Croisier, Jean-Louis; Perrey, S (Eds.) et al Prévention des troubles musculo-squelettiques chez le sportif (2013) De nouveaux outils de mesure permettent de quantifier la cinématique et la dynamique articulaire fonctionnelle des athlètes (systèmes optoélectroniques 3D, plateforme de forces, électromyographie, …). Ces ... [more ▼] De nouveaux outils de mesure permettent de quantifier la cinématique et la dynamique articulaire fonctionnelle des athlètes (systèmes optoélectroniques 3D, plateforme de forces, électromyographie, …). Ces données sont importantes dans le sens où elles donnent à l’équipe médicale et sportive des informations objectives sur le geste du sportif dans sa pratique réelle. Elles favorisent la compréhension et l’amélioration de la performance ainsi que la prévention lésionnelle et la détection de situations à risque. Dans le cadre d’un suivi longitudinal des sportifs, ces mesures sont intéressantes pour mettre en place des critères objectifs et spécifiques à l’athlète de retour sur le terrain après une blessure. Ce document a pour objectif de présenter les principaux outils disponibles dans les laboratoires de biomécanique et d’illustrer leurs utilisations à travers 2 exemples : l’influence de la raideur de l’épaule sur la mobilité de l’épaule et l’analyse cinématique du service au tennis. [less ▲] Detailed reference viewed: 56 (20 ULg) Modeling of joints with clearance and friction in multibody dynamic simulation of automotive differentialsVirlez, Geoffrey ; Bruls, Olivier ; Tromme, Emmanuel et alin Theoretical and Applied Mechanics Letters (2013), 3(1), 013003 Defects in kinematic joints can sometimes highly influence the simulation response of the whole multibody system within which these joints are included. For instance, the clearance, the friction, the ... [more ▼] Defects in kinematic joints can sometimes highly influence the simulation response of the whole multibody system within which these joints are included. For instance, the clearance, the friction, the lubrication and the flexibility affect the transient behaviour, reduce the component life and produce noise and vibration for classical joints such as prismatics, cylindrics or universal joints. In this work, a new 3D cylindrical joint model which accounts for the clearance, the misalignment and the friction is presented. This formulation has been used to represent the link between the planet gears and the planet carrier in an automotive differential model. [less ▲] Detailed reference viewed: 22 (12 ULg) Sensitivity analysis for multibody systems formulated on a Lie groupSonneville, Valentin ; Bruls, Olivier ![]() in Multibody System Dynamics (2013) A direct differentiation method and an adjoint variable method are proposed for the efficient semi-analytical evaluation of the sensitivities of multibody systems formulated in a matrix Lie group ... [more ▼] A direct differentiation method and an adjoint variable method are proposed for the efficient semi-analytical evaluation of the sensitivities of multibody systems formulated in a matrix Lie group framework. These methods rely on the linearization of the equations of motion and/or of the time integration procedure. The simpler structure of the equations of motion in the Lie group formalism appears as an advantage for that purpose. Lie bracket contributions and the non-linearity of the exponential map need to be taken into account in the sensitivity algorithms. Nevertheless, essential characteristics of formulations of the direct differentiation method and the adjoint variable method on linear spaces are recovered. Some implementation issues are discussed and two relevant examples illustrate the properties of these methods. [less ▲] Detailed reference viewed: 19 (2 ULg) Modelling of contact between stiff bodies in automotive transmission systemsVirlez, Geoffrey ; Bruls, Olivier ; et alin Fisette, Paul; Samin, Jean-Claude (Eds.) Multibody Dynamics: Computational Methods and Applications (2013) Many transmission components contain moving parts, which can come into in contact. For example, the TORSEN differentials aremainly composed of gear pairs and thrust washers. The friction involved by ... [more ▼] Many transmission components contain moving parts, which can come into in contact. For example, the TORSEN differentials aremainly composed of gear pairs and thrust washers. The friction involved by contacts between these two parts is essential in the working principle of such differentials. In this chapter, two different contact models are presented and exploited for the modelling of differentials. The former uses an augmented Lagrangian technique or a penalty method and is defined between two flexible bodies or between a rigid body and a flexible structure. The second contact formulation is a continuous impact modelling based on a restitution coefficient. [less ▲] Detailed reference viewed: 60 (22 ULg) Shoulder injury prevention in sports using 3D motion captureSchwartz, Cédric ; HAZEE, Amandine ; Denoël, Vincent et alPoster (2012, December 07) In sports, where regular and intensive training could progressively lead to traumatic situations, accurate measurement of kinematic parameters can help to predict and anticipate injuries. Overhead ... [more ▼] In sports, where regular and intensive training could progressively lead to traumatic situations, accurate measurement of kinematic parameters can help to predict and anticipate injuries. Overhead throwing athletes may develop an increased stiffness of the shoulder capsule. The resulting diminution of the gleno-humeral range of motion is usually associated with decreased performance and injury risks. This study illustrates the detection of these situations that put the athlete at risk. [less ▲] Detailed reference viewed: 61 (10 ULg) Validated Extraction of Gait Events from 3D Accelerometer RecordingsBoutaayamou, Mohamed ; Schwartz, Cédric ; et alin IEEE International Conference on 3D Imaging (IC3D) (2012, December) This work is part of a project that deals with the three-dimensional (3D) analysis of normal and pathological gaits based on a newly developed system for clinical applications, using low-cost wireless ... [more ▼] This work is part of a project that deals with the three-dimensional (3D) analysis of normal and pathological gaits based on a newly developed system for clinical applications, using low-cost wireless accelerometers and a signal processing algorithm. This system automatically extracts relevant gait events such as the heel strikes (HS) and the toe-offs (TO), which characterize the stance and the swing phases of walking. The performances of the low-cost accelerometer hardware and related algorithm have been compared to those obtained by a kinematic 3D analysis system and a force plate, used as gold standard methods. The HS and TO times obtained from the gait data of 7 healthy volunteers (147 trials) have been found to be (mean ± standard deviation) 0.42±7.92 ms and 3.11±10.08 ms later than those determined by the force plate, respectively. The experimental results demonstrate that the new hardware and associated algorithm constitute an effective low-cost gait analysis system, which could thus be used for the assessment of mobility in routine clinical practice. [less ▲] Detailed reference viewed: 58 (33 ULg) Toward Optimization of Flexible Multibody Systems: How to Open the Simulation Black Box?Bruls, Olivier ![]() Conference (2012, September) Detailed reference viewed: 25 (3 ULg) Modelling of joints with clearance and friction in multibody dynamic simulation of automotive differentialsVirlez, Geoffrey ; Bruls, Olivier ; Tromme, Emmanuel et alin Proceedings of the 6th Asian Conference on Multibody Dynamics (2012, August 27) Defects in kinematic joints can sometimes highly influence the simulation response of the whole multibody system within which these joints are included. For instance, the clearance, the friction, the ... [more ▼] Defects in kinematic joints can sometimes highly influence the simulation response of the whole multibody system within which these joints are included. For instance, the clearance, the friction, the lubrication and the flexibility affect the transient behaviour, reduce the component life and produce noise and vibration for classical joints such as prismatic, cylindric or universal joint. In this work, a new 3D cylindrical joint model which accounts for the clearance, the misalignment and the friction is presented. This formulation has been used to represent the link between the planet gears and the planet carrier in an automotive differential model. [less ▲] Detailed reference viewed: 7 (5 ULg) Investigations on a Level Set based approach for the optimization of flexible components in multibody systems with a fixed mesh gridTromme, Emmanuel ; Bruls, Olivier ; Van Miegroet, Laurent et alin Proceedings of The 6th Asian Conference on Multibody Dynamics: Shanghai (China), 26-30 aout 2012 (2012, August) This paper considers the optimization of flexible components in mechanical systems thanks to a "fully integrated" optimization method which includes a flexible multibody system simulation based on ... [more ▼] This paper considers the optimization of flexible components in mechanical systems thanks to a "fully integrated" optimization method which includes a flexible multibody system simulation based on nonlinear finite elements. This approach permits to better capture the effects of dynamic loading under service conditions. This process is challenging because most state-of-the-art studies in structural optimization have been conducted under (quasi-)static loading conditions or vibration design criteria and also because this ``fully integrated" optimization method is not a simple extension of static optimization techniques. The present paper proposes an approach based on a Level Set description of the geometry. This method leads to an intermediate level between shape and topology optimizations. Gradient-based optimization methods are adopted for their convergence speed. Numerical applications are conducted on the optimization of a connecting rod of a reciprocating engine with cyclic dynamic loading to show the feasibility and the promising results of this approach. [less ▲] Detailed reference viewed: 43 (7 ULg) Analysis of Stresses in Vehicle Driveline Systems Using a Flexible Multibody ApproachVirlez, Geoffrey ; Bruls, Olivier ; Tromme, Emmanuel et alConference (2012, July 10) Detailed reference viewed: 17 (4 ULg) A Newmark-type integrator for flexible systems considering nonsmooth unilateral constraintsChen, Qiongzhong ; ; Virlez, Geoffrey et alin Proceedings of the First Joint International Conference on Multibody System Dynamics (2012, June) Mechanical systems are usually subjected not only to bilateral constraints but also to unilateral constraints. Inspired by the HHT time integration method for smooth flexible multibody dynamics, this ... [more ▼] Mechanical systems are usually subjected not only to bilateral constraints but also to unilateral constraints. Inspired by the HHT time integration method for smooth flexible multibody dynamics, this paper presents a Newmark-type integrator, denoted by nonsmooth HHT method, to include the nonsmooth property of unilateral constraints. Through numerical examples accounting for both rigid and flexible body models, a bunch of methods are compared with the unilateral constraints on both velocity level and position level. Results show that the presented nonsmooth HHT method benefits from the accuracy and stability property of the classical HHT method with controllable numerical damping. In particular, when it comes to the analysis of flexible systems, the nonsmooth HHT method shows much better accuracy property than that of the other methods, including the Moreau–Jean time-stepping method and the fully implicit Newmark methods. [less ▲] Detailed reference viewed: 38 (16 ULg) Modelling the Position Control of a Segment of the E-ELT using OOFELIE::Multiphysics Integrated FEM-based Approach; Gamonal Rozas, Leonardo Alfredo ; Bruls, Olivier ![]() in Proceedings of the 13th International Conference on New Actuators (2012, June) This paper presents the extension of a multiphysics software solution allowing to perform integrated simulation of multiphysics controlled systems. This enhancement relies on an innovative formulation of ... [more ▼] This paper presents the extension of a multiphysics software solution allowing to perform integrated simulation of multiphysics controlled systems. This enhancement relies on an innovative formulation of time integration schemes allowing to take into account simultaneously, in an integrated FEM-based approach, the non linear structural response of a system and the controller dynamics. Interest and feasibility of this unified approach is illustrated through the Modelling of the position control of a segment of the primary mirror of the E-ELT (European Extremely Large Telescope), a highly representative application of complex multiphysics controlled systems. [less ▲] Detailed reference viewed: 14 (0 ULg) Formulation of Kinematic Joints and Rigidity Constraints in Multibody Dynamics using a Lie Group ApproachSonneville, Valentin ; Bruls, Olivier ![]() in Proceedings of the 2nd Joint International Conference on Multibody System Dynamics (IMSD) (2012, May) The matrix Lie group approach allows to formulate and solve the equations of motion of a multibody system in a parametrization-free framework. The kinematic joints and the rigidity constraints should also ... [more ▼] The matrix Lie group approach allows to formulate and solve the equations of motion of a multibody system in a parametrization-free framework. The kinematic joints and the rigidity constraints should also be formulated as constraint equations on the Lie group. Working on the Special Euclidean group SE(3), we introduce a method to obtain appropriate vectorial constraint equations in terms of mixed coordinates. Moreover, we present an absolute coordinates formulation, based on an relative coordinates elimination method, so that the minimum number of constraint equations necessary to describe the joints is used. [less ▲] Detailed reference viewed: 24 (6 ULg) Inverse dynamics of parallel kinematic manipulators with flexible linksGuimaraes Bastos Junior, Guaraci ; ; Bruls, Olivier ![]() Conference (2012, May) Detailed reference viewed: 10 (3 ULg) Trends and challenges in flexible multibody dynamics: From simulation to control and designBruls, Olivier ![]() Conference (2012, May) Detailed reference viewed: 10 (2 ULg) Integrated control and structural analysis of DFIG wind turbines using a monolithic approachChen, Qiongzhong ; ; et alin Proceedings of the European Wind Energy Conference and Exhibition 2012 (EWEA 2012) (2012, April) Design of wind turbines requires the coupled analysis among the mechanical, control and aerodynamic subsystems. Different from previous research, which either uses a complicated mechanical model with a ... [more ▼] Design of wind turbines requires the coupled analysis among the mechanical, control and aerodynamic subsystems. Different from previous research, which either uses a complicated mechanical model with a simple control system model, or vice versa, this paper studies the coupling of subsystems’ dynamics using a high-fidelity aeroelastic model of wind turbine and a detailed analytical model of control generating systems. A monolithic time integration approach is applied so that better numerical accuracy and stability are achieved. Control strategies on power optimization are discussed taking into account the influence of structural flexibility. Simulation examples are given on both stable and turbulent wind situation. [less ▲] Detailed reference viewed: 43 (8 ULg) From direct to inverse analysis in flexible multibody dynamicsBruls, Olivier ![]() Conference (2012, March) Today, state-of-the-art simulation packages in flexible multibody dynamics allow the high-fidelity analysis of industrial mechanisms and machines in many application fields including robotics, automotive ... [more ▼] Today, state-of-the-art simulation packages in flexible multibody dynamics allow the high-fidelity analysis of industrial mechanisms and machines in many application fields including robotics, automotive systems, aeronautics, deployable structures or wind turbines. The dynamic response of a given system can thus be evaluated in the time-domain for given load cases and given initial values. However, in many practical cases, the engineer does not have a precise knowledge of the mechanical design, the loading conditions and the initial state. This situation occurs for example in structural optimization, optimal control, experimental identification and health monitoring problems. The complexity of simulation codes and the computational cost of high-fidelity models are still important obstacles for the development of efficient resolution methods for these inverse problems. A current challenge is thus to elaborate simplified and more efficient modelling strategies in flexible multibody dynamics in order to enable the development of inverse analysis methods. The talk is divided into three parts. The first part provides an overview of available simulation techniques for flexible mechanisms with a particular emphasis on finite element-based approaches and time integration methods. Some illustrations are presented in the fields of deployable structures, vehicle dynamics and wind turbines. In the second part, optimization problems in flexible multibody dynamics are addressed and solved using gradient-based methods. Efficient methods for sensitivity analysis are discussed and special problems are treated such as the structural optimization of mechanical components or the numerical solution of inverse dynamics problems. The third part discusses a recently-developed Lie group approach which allows the formulation of the equations of motion of a multibody system in a parameterization-free setting. Based on this general formalism, which is characterized by an increased modularity and a reduced complexity, a large variety of Lie group solvers are foreseen not only for time integration but also for model reduction, sensitivity analysis and optimization. [less ▲] Detailed reference viewed: 33 (5 ULg) Spurious oscillations in generalized-alpha time integration methods; Bruls, Olivier ; Conference (2012, March) Detailed reference viewed: 19 (0 ULg) A level set approach for the optimal design of flexible components in multibody systemsTromme, Emmanuel ; Bruls, Olivier ; Van Miegroet, Laurent et alConference (2012, February 29) Detailed reference viewed: 47 (12 ULg) |
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