Dynamic Modeling of Planar Multi-Link Flexible Manipulators

A closed-form dynamic model of the planar multi-link flexible manipulator is presented. The assumed modes method is used with the Lagrangian formulation to obtain the dynamic equations of motion. Explicit equations of motion are derived for a three-link case assuming two modes of vibration for each...

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Bibliographic Details
Main Authors: Dipendra Subedi, Ilya Tyapin, Geir Hovland
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Robotics
Subjects:
Online Access:https://www.mdpi.com/2218-6581/10/2/70
Description
Summary:A closed-form dynamic model of the planar multi-link flexible manipulator is presented. The assumed modes method is used with the Lagrangian formulation to obtain the dynamic equations of motion. Explicit equations of motion are derived for a three-link case assuming two modes of vibration for each link. The eigenvalue problem associated with the mass boundary conditions, which changes with the robot configuration and payload, is discussed. The time-domain simulation results and frequency-domain analysis of the dynamic model are presented to show the validity of the theoretical derivation.
ISSN:2218-6581