Proceedings of the 5th International Conference on Mechanical Engineering, Materials and Energy (5th ICMEME2016)

Transfer matrix method of linear multibody systems for free vibration analysis of beam carrying elastically mounted point masses

Authors
Laith K Abbas, Dongyang Chen, Guoping Wang, Xiaoting Rui
Corresponding Author
Laith K Abbas
Available Online December 2016.
DOI
https://doi.org/10.2991/icmeme-16.2016.4How to use a DOI?
Keywords
Transfer matrix method, Spring-mass, Recursive eigenvalue search, Free vibration
Abstract

The analysis of natural vibration characteristics has become one of the important steps of the manufacture and dynamic design in different industries. An efficient approach called transfer matrix method of linear multibody systems (MSTMM) is proposed to determine the free vibration of a cantilever beam carrying any number of elastically mounted point masses vibrating in a plane. The components of the transfer matrix are all functions of the system's natural frequency. The overall transfer equation only involves boundary state vectors, whereas the state vectors at all other connection points do not appear. The state vectors at the boundary are composed of displacements, rotation angles, bending moments and shear forces, which are partly known and partly unknown. Recursive eigenvalue search algorithm is used to determine the system frequencies. A numerical example is presented to demonstrate the validity of the proposal method. The proposed method is easy to formulate, systematic to apply, and simple to code.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 5th International Conference on Mechanical Engineering, Materials and Energy (5th ICMEME2016)
Series
Advances in Engineering Research
Publication Date
December 2016
ISBN
978-94-6252-281-7
ISSN
2352-5401
DOI
https://doi.org/10.2991/icmeme-16.2016.4How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Laith K Abbas
AU  - Dongyang Chen
AU  - Guoping Wang
AU  - Xiaoting Rui
PY  - 2016/12
DA  - 2016/12
TI  - Transfer matrix method of linear multibody systems for free vibration analysis of beam carrying elastically mounted point masses
BT  - Proceedings of the 5th International Conference on Mechanical Engineering, Materials and Energy (5th ICMEME2016)
PB  - Atlantis Press
SP  - 20
EP  - 24
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmeme-16.2016.4
DO  - https://doi.org/10.2991/icmeme-16.2016.4
ID  - Abbas2016/12
ER  -