Attaching negative structures to model cut-outs in the vibration analysis of structures. (May 2017)

• Record Type: Journal Article
• Authors: Mochida, Y.; Ilanko, S.; Kennedy, D.
• Is Part Of: Computers & structures. Volume 184(2017)
• Page Start: 14
• Page End: 24
• Publication Date: 2017-05
• Subjects: Negative structure -- Dynamic Stiffness Method -- Natural frequencies -- Plates with holes -- Independent Coordinate Coupling Method -- Rayleigh-Ritz Method; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2017.02.003
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: Dynamic Stiffness Method used to show how negative bodies can be used to model holes. Illustrative examples of a beam problem using the exact method. A plate with a hole solved using the Rayleigh-Ritz and Finite Element methods. 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.