10 research outputs found
Accuracy Improvement for Stiffness Modeling of Parallel Manipulators
The paper focuses on the accuracy improvement of stiffness models for
parallel manipulators, which are employed in high-speed precision machining. It
is based on the integrated methodology that combines analytical and numerical
techniques and deals with multidimensional lumped-parameter models of the
links. The latter replace the link flexibility by localized 6-dof virtual
springs describing both translational/rotational compliance and the coupling
between them. There is presented detailed accuracy analysis of the stiffness
identification procedures employed in the commercial CAD systems (including
statistical analysis of round-off errors, evaluating the confidence intervals
for stiffness matrices). The efficiency of the developed technique is confirmed
by application examples, which deal with stiffness analysis of translational
parallel manipulators
Stiffness modeling of robotic manipulator with gravity compensator
The paper focuses on the stiffness modeling of robotic manipulators with
gravity compensators. The main attention is paid to the development of the
stiffness model of a spring-based compensator located between sequential links
of a serial structure. The derived model allows us to describe the compensator
as an equivalent non-linear virtual spring integrated in the corresponding
actuated joint. The obtained results have been efficiently applied to the
stiffness modeling of a heavy industrial robot of the Kuka family
Nonlinear Effects in Stiffness Modeling of Robotic Manipulators
The paper focuses on the enhanced stiffness modeling of robotic manipulators
by taking into account influence of the external force/torque acting upon the
end point. It implements the virtual joint technique that describes the
compliance of manipulator elements by a set of localized six-dimensional
springs separated by rigid links and perfect joints. In contrast to the
conventional formulation, which is valid for the unloaded mode and small
displacements, the proposed approach implicitly assumes that the loading leads
to the non-negligible changes of the manipulator posture and corresponding
amendment of the Jacobian. The developed numerical technique allows computing
the static equilibrium and relevant force/torque reaction of the manipulator
for any given displacement of the end-effector. This enables designer detecting
essentially nonlinear effects in elastic behavior of manipulator, similar to
the buckling of beam elements. It is also proposed the linearization procedure
that is based on the inversion of the dedicated matrix composed of the
stiffness parameters of the virtual springs and the Jacobians/Hessians of the
active and passive joints. The developed technique is illustrated by an
application example that deals with the stiffness analysis of a parallel
manipulator of the Orthoglide family.Comment: ISSN 2070-372
CAD-based approach for identification of elasto-static parameters of robotic manipulators
The paper presents an approach for the identification of elasto-static
parameters of a robotic manipulator using the virtual experiments in a CAD
environment. It is based on the numerical processing of the data extracted from
the finite element analysis results, which are obtained for isolated
manipulator links. This approach allows to obtain the desired stiffness
matrices taking into account the complex shape of the links, couplings between
rotational/translational deflections and particularities of the joints
connecting adjacent links. These matrices are integral parts of the manipulator
lumped stiffness model that are widely used in robotics due to its high
computational efficiency. To improve the identification accuracy,
recommendations for optimal settings of the virtual experiments are given, as
well as relevant statistical processing techniques are proposed. Efficiency of
the developed approach is confirmed by a simulation study that shows that the
accuracy in evaluating the stiffness matrix elements is about 0.1%.Comment: arXiv admin note: substantial text overlap with arXiv:0909.146
Performance evaluation of parallel manipulators for milling application
This paper focuses on the performance evaluation of the parallel manipulators
for milling of composite materials. For this application the most significant
performance measurements, which denote the ability of the manipulator for the
machining are defined. In this case, optimal synthesis task is solved as a
multicriterion optimization problem with respect to the geometric, kinematic,
kinetostatic, elastostostatic, dynamic properties. It is shown that stiffness
is an important performance factor. Previous models operate with links
approximation and calculate stiffness matrix in the neighborhood of initial
point. This is a reason why a new way for stiffness matrix calculation is
proposed. This method is illustrated in a concrete industrial problem
Outils pour l’identification des paramètres de raideur des robots à l’aide d’un logiciel de CAO
This report proposes a CAD-based approach for identification of the elasto-static parameters of the robotic manipulators. The main contributions are in the areas of virtual experiment planning and algorithmic data processing, which allows to obtain the stiffness matrix with required accuracy. In contrast to previous works, the developed technique operates with the deflection field produced by virtual experiments in a CAD environment. The proposed approach provides high identification accuracy (about 0.1% for the stiffness matrix element) and is able to take into account the real shape of the link, coupling between rotational/translational deflections and joint particularities. To compute the stiffness matrix, the numerical technique has been developed, and some recommendations for optimal settings of the virtual experiments are given. In order to minimize the identification errors, the statistical data processing technique was applied. The advantages of the developed approach have been confirmed by case studies dealing with the links of parallel manipulator of the Orthoglide family, for which the identification errors have been reduced to 0.1%ANR COROUSS
Outils pour l’identification des paramètres de raideur des robots à l’aide d’un logiciel de CAO
This report proposes a CAD-based approach for identification of the elasto-static parameters of the robotic manipulators. The main contributions are in the areas of virtual experiment planning and algorithmic data processing, which allows to obtain the stiffness matrix with required accuracy. In contrast to previous works, the developed technique operates with the deflection field produced by virtual experiments in a CAD environment. The proposed approach provides high identification accuracy (about 0.1% for the stiffness matrix element) and is able to take into account the real shape of the link, coupling between rotational/translational deflections and joint particularities. To compute the stiffness matrix, the numerical technique has been developed, and some recommendations for optimal settings of the virtual experiments are given. In order to minimize the identification errors, the statistical data processing technique was applied. The advantages of the developed approach have been confirmed by case studies dealing with the links of parallel manipulator of the Orthoglide family, for which the identification errors have been reduced to 0.1%ANR COROUSS
Enhanced stiffness modeling of manipulators with passive joints
The paper presents a methodology to enhance the stiffness analysis of serial
and parallel manipulators with passive joints. It directly takes into account
the loading influence on the manipulator configuration and, consequently, on
its Jacobians and Hessians. The main contributions of this paper are the
introduction of a non-linear stiffness model for the manipulators with passive
joints, a relevant numerical technique for its linearization and computing of
the Cartesian stiffness matrix which allows rank-deficiency. Within the
developed technique, the manipulator elements are presented as pseudo-rigid
bodies separated by multidimensional virtual springs and perfect passive
joints. Simulation examples are presented that deal with parallel manipulators
of the Ortholide family and demonstrate the ability of the developed
methodology to describe non-linear behavior of the manipulator structure such
as a sudden change of the elastic instability properties (buckling)
Modèles élastiques et élasto‐dynamiques de robots porteurs
The report presents an advanced stiffness modeling technique for parallel manipulators composed of perfect and non-perfect serial chains. The developed technique contributes both to the stiffness modeling of serial and parallel manipulators under internal and external loadings. Particular attention has been done to enhancement of VJM-based stiffness modeling technique for the case of auxiliary loading (applied to the intermediate points). The obtained results allows us to take into account gravity forces induced by the link weights which are assumed to be applied in the intermediate points. In contrast to other works, the developed technique is able to take into account deviation of the end-platform location because of inaccuracy in the geometry of serial chains, which does not allow to assemble manipulator without internal stresses. The developed aggregation procedure combines the chain stiffness models and produces the relevant force-deflection relation, the aggregated Cartesian stiffness matrix and the reference point displacements caused by inaccuracy in kinematic chains. The developed technique can be applied to both over-constrained and under-constrained manipulators, and is suitable for the cases of both small and large deflections.ANR COROUSS