Low-velocity impact analysis of laminated composite plates and shells with generalized differential quadrature method

Year 2020, Volume: 3 Issue: 1, 1 - 24, 30.06.2020

Hasan Kurtaran

Abstract

In this article, low-velocity impact analysis of laminated composite plates and shells for small and large displacements is investigated using Generalized Differential Quadrature (GDQ) method. Equation of motion for impact system is derived using virtual work principle. First-order shear deformation theory (FOST) is employed to consider transverse shear effects and Von-Karman nonlinear strain-displacement relationships are used in large displacement analyses. Spatial derivatives are expressed with GDQ method and time integration of dynamic equations is performed using Newmark average acceleration method. Several laminated composite impact problems from the literature are solved with the proposed method. Very close results are obtained with the
literature using only limited number of grids, showing the efficiency of the method in contact-impact problems.

Keywords

Generalized differential quadrature, Impact, Laminated composite

Tabakalı kompozit levha ve kabukların genelleştirilmiş diferansiyel kuadrature metodu ile düşük çarpma hızlarındaki analizleri

Abstract

Bu çalışmada tabakalı kompozit levha ve panellerin düşük çarpma hızlarındaki nonlineer dinamik davranışı Genelleştirilmiş Diferansiyel Kuadrature (Generalized Differential Quadrature) yöntemi ile incelenmektedir. Sistemin dinamik denklemleri Virtüel iş ilkesi ile elde edilmektedir. Düzleme dik doğrultudaki kalınlık etkisi 1. mertebe kayma deformasyon teorisi ile dikkate alınmaktadır. Büyük yer değiştirmeler Von-Karman nonlineer birim şekil değişimleri ile dikkate alınmaktadır. Konumsal türevler Genelleştirilmiş Diferansiyel Quadrature yöntemi ile zaman integrasyonu da Newmark metodu ile hesaplanmaktadır. Önerilen metotla birçok çarpma problemi çözülmüş ve literatürdeki sonuçlarla karşılaştırılmıştır. Önerilen metodun çarpma problemlerinin incelenmesinde etkili ve verimli bir yöntem olduğu gösterilmiştir.

Keywords

Genelleştirilmiş diferansiyel kuadrature, çarpma, Tabakalı kompozit, Plates and shells

References

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