Passive modifications for partial assignment of natural frequencies of mass-spring systems



Ouyang, Huajiang ORCID: 0000-0003-0312-0326 and Zhang, Jiafan
(2015) Passive modifications for partial assignment of natural frequencies of mass-spring systems. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 50-51. pp. 214-226.

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Abstract

The inverse structural modification for assigning a subset of natural frequencies of a structure to some targeted values has been found to inevitably lead to undesired changes to the other natural frequencies of the original structure that should not have been modified, which is referred to as the frequency "spill-over" phenomenon. Passive structural modifications of mass-spring systems for partial assignment of natural frequencies without frequency "spill-over" are addressed in this paper. For two kinds of lumped mass-spring systems, i.e. simply connected in-line mass-spring systems and multiple-connected mass-spring systems, two solution methods are proposed to construct the required mass-normalised stiffness matrix, which satisfies the partial assignment requirement of natural frequencies and maintains the configuration of the original structure after modifications. The modifications are also physically realisable. Finally, some examples of lumped mass-spring systems are analysed to demonstrate the effectiveness and accuracy of the proposed methods. © 2014 Elsevier Ltd. All rights reserved.

Item Type: Article
Additional Information: ## TULIP Type: Articles/Papers (Journal) ##
Uncontrolled Keywords: Structural dynamics, Passive control, Structural modification, Partial eigenvalue assignment, Spill-over
Depositing User: Symplectic Admin
Date Deposited: 14 Nov 2017 10:13
Last Modified: 19 Jan 2023 06:50
DOI: 10.1016/j.ymssp.2014.05.022
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3012143