The Reconstruction of Spring-Mass System with Partial Given Data

DOI

10.2991/mse-15.2016.50How to use a DOI?

Keywords

spring-mass system; jacobi matrix; inverse eigenvalue problem; eigenpair

Abstract

In this paper, two inverse vibration problems of constructing a grounding spring-mass system from its two eigenpairs and part of spring stiffness are considered. The vibration system is constrained to satisfy a relation that the total mass of system is a constant, and the problems are transferred into inverse eigenvalue problems for Jacobi matrix. The necessary and sufficient conditions for the construction of physically realizable systems with positive parameters are derived. Furthermore, the corresponding numerical algorithms and numerical example are given.

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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TY  - CONF
AU  - Wenting Wan
PY  - 2016/03
DA  - 2016/03
TI  - The Reconstruction of Spring-Mass System with Partial Given Data
BT  - Proceedings of the 2015 International Conference on Mechanical Science and Engineering
PB  - Atlantis Press
SP  - 299
EP  - 304
SN  - 2352-5401
UR  - https://doi.org/10.2991/mse-15.2016.50
DO  - 10.2991/mse-15.2016.50
ID  - Wan2016/03
ER  -