Exact Modeling of n-Link Spatial Serial Structures Using Transfer Matrices

Author:

Kivila Arto1,Book Wayne2,Singhose William2

Affiliation:

1. School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332 e-mail:

2. School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

Abstract

Finding natural frequencies and mode shapes for flexible structures can be a challenging problem. Although well-known approaches exist for single flexible links, the problem becomes increasingly more complex when dealing with multiple links. Spatial configurations add an additional layer of difficulty. This work presents a systematic method for finding the natural frequencies and mode-shapes for n-link serial structures using a transfer matrix approach. The method is validated by finite element analysis and experiments.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference19 articles.

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3. Large-Displacement Finite Element Analysis of Flexible Linkages;ASME J. Mech. Des.,1988

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1. Modeling spatial multi-link flexible manipulator arms based on system modes;International Journal of Intelligent Robotics and Applications;2021-09

2. Review on Modeling and Control of Flexible Link Manipulators;Modeling, Identification and Control: A Norwegian Research Bulletin;2020

3. Mode shape analysis, modal linearization, and control of an elastic two-link manipulator based on the normal modes;Applied Mathematical Modelling;2018-07

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