An exact spectral dynamic stiffness theory for composite plate-like structures with arbitrary non-uniform elastic supports, mass attachments and coupling constraints

X Liu,H.I Kassem,J.R Banerjee

doi:10.1016/j.compstruct.2016.01.074

X Liu, H.I Kassem + Show 1 more

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https://doi.org/10.1016/j.compstruct.2016.01.074

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Journal: Composite Structures	Publication Date: Jan 22, 2016
Citations: 31	License type: other-oa

Affiliation: City, University of London

Abstract

This paper presents an exact spectral dynamic stiffness (SDS) theory for composite plates and plate assemblies with arbitrary non-uniform elastic supports, mass attachments and elastic coupling constraints. The theory treats the above supports, attachments and constraints in a sufficiently general, but accurate manner, which can be applied to various SDS formulations as well as classical dynamic stiffness formulations for both modal and dynamic response analysis. The methodology is concise but can be easily applied to complex plate-like structures with any arbitrary boundary conditions. It retains all the advantages of a recently developed SDS method which gives exact results with excellent computation efficiency. The results computed by the present theory are validated against published results. In order to demonstrate the practical applicability of the theory, three wide ranging engineering composite structures are investigated. For benchmarking purposes, results computed from the current theory are accurate up to the last figure quoted.

Highlights

Dynamic analysis of plate-like structures with arbitrary non-uniform elastic supports (Fig.1(a)), mass attachments (Fig. 1(b)) and elastic coupling constraints (Fig.1(c)) has always been a challenging problem in many engineering areas
The purpose of this paper is to substantially extend a recently developed spectral dynamic stiffness method (SDSM) [27,28,29] to more general and diversified cases
Three practical composite plate-like structures are analysed and results are given in Sections 3.2 to 3.4

Summary

Introduction

Dynamic analysis of plate-like structures with arbitrary non-uniform elastic supports (Fig.1(a)), mass attachments (Fig. 1(b)) and elastic coupling constraints (Fig.1(c)) has always been a challenging problem in many engineering areas. The applicability of the proposed theory include, but not limited to, buildings, bridges, ships, aeroplanes, space structures, armoured vehicles, automobiles, machines, robots, optical beam pointing systems and so on. Non-uniform elastic supports, mass attachments and elastic coupling constraints are expected to change the dynamic behaviour of a structure significantly. It is timely and pertinent to review briefly the published work focused on 17 the above three general types of non-classical boundary conditions (BC) and/or continuity conditions (CC).

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Results

Conclusion