Transient Analysis of Composite Plates Introducing the Inverse Differential Quadrature Method

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The design of laminated composites plates requires knowledge of the transient response of their structures when subject to dynamic excitations. This consideration necessitates the numerical solution of the governing high-order partial differential equations in order to generalize the solution for arbitrary constraints, lamination stacking sequences and loading conditions. In this regard, this work proposes a novel numerical scheme based on an indirect approximation strategy called the inverse differential quadrature method (iDQM) combined with first-order shear deformation theory (FSDT) for transient analysis of laminated composite plate structures. The proposed scheme is motivated by the potential of iDQM to circumvent the error induced by numerical differentiation while modeling structures with high order deformations. Newmark’s time integration scheme is used to temporally discretize the iDQM-FSDT system of equations. The numerical tests performed for symmetric and anti-symmetric cross-ply laminated plates with different boundary constraints demonstrate a good agreement between the iDQM estimates and reference solutions from literature, the differential quadrature method and Navier’s solutions while simultaneously offering computational saving up to 96% in terms of degrees of freedom when compared against ABAQUS finite element solutions. Moreover, the proposed method shows promise for improved convergence rates compared to differential quadrature solutions emphasizing the computational merits of adopting iDQM in modeling transient response of plate structures.

Original languageEnglish
Title of host publicationAIAA SciTech Forum and Exposition, 2024
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624107115
DOIs
Publication statusPublished - 2024
EventAIAA SciTech Forum and Exposition, 2024 - Orlando, United States
Duration: 8 Jan 202412 Jan 2024

Publication series

NameAIAA SciTech Forum and Exposition, 2024

Conference

ConferenceAIAA SciTech Forum and Exposition, 2024
Country/TerritoryUnited States
CityOrlando
Period8/01/2412/01/24

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