Attaching negative structures to model cut-outs in the vibration analysis of structures

Yusuke, Mochida, Sinniah, Ilanko and Kennedy, David ORCID: https://orcid.org/0000-0002-8837-7296 2017. Attaching negative structures to model cut-outs in the vibration analysis of structures. Computers and Structures 184 , pp. 14-24.

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Abstract

The presence of a hole, cut-out or void in a structure makes it difficult to be modelled for calculating natural frequencies. A theoretical basis for simplifying the modelling of cut-outs in a structure by attaching a negative structure is presented. The Dynamic Stiffness Method has been used to prove that this method yields the required natural frequencies. The derivations also show the presence of additional natural frequencies which correspond to the vibration of the positive and negative parts vibrating together while the actual structure with the hole or cut-out usually remains stationary.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Engineering
Subjects:	T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	Negative structure; Dynamic Stiffness Method; Natural frequencies; Plates with holes; Independent Coordinate Coupling Method; Rayleigh-Ritz Method
Publisher:	Elsevier
ISSN:	0045-7949
Funders:	Marsden Fund of the Royal Society of New Zealand
Date of First Compliant Deposit:	6 March 2017
Date of Acceptance:	17 February 2017
Last Modified:	12 Nov 2024 07:30
URI:	https://orca.cardiff.ac.uk/id/eprint/98742

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