Recursive Lagrangian dynamic modeling and simulation of multi-link spatial flexible manipulator arms

The dynamics for multi-link spatial flexible manipulator arms consisting of n links and n rotary joints is investigated. Kinematics of both rotary-joint motion and link deformation is described by 4 × 4 homogenous transformation matrices, and the Lagrangian equations are used to derive the governing...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2009-10, Vol.30 (10), p.1283-1294
Main Author: Zhang, Ding-guo
Format: Article
Language:English
Subjects:
Algorithms
Applications of Mathematics
Classical Mechanics
Computer simulation
Dynamics
Flexible manipulators
Fluid- and Aerodynamics
Kinematics
Links
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Partial Differential Equations
Recursive
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Summary:The dynamics for multi-link spatial flexible manipulator arms consisting of n links and n rotary joints is investigated. Kinematics of both rotary-joint motion and link deformation is described by 4 × 4 homogenous transformation matrices, and the Lagrangian equations are used to derive the governing equations of motion of the system. In the modeling the recursive strategy for kinematics is adopted to improve the computational efficiency. Both the bending and torsional flexibility of the link are taken into account. Based on the present method a general-purpose software package for dynamic simulation is developed. Dynamic simulation of a spatial flexible manipulator arm is given as an example to validate the algorithm.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-009-1008-2