A layerwise finite element formulation for free vibration analysis of functionally graded sandwich shells

Pandey, Shashank; Pradyumna, S.

doi:10.1016/j.compstruct.2015.07.087

Cited by 44 publications

(20 citation statements)

References 46 publications

(65 reference statements)

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“…It was suggested that the method is not useful for the analysis of very thin plates. Pandey and Pradyumna [155] applied Love's and Donnell's shell theories to obtain natural frequencies of FG Sandwich plates. Results were found to be the same for both Love's and Donnell's theories.…”

Section: Fgm Platesmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Section: Fgm Platesmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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“…The LW theory proposed by Ferreira is based on an expansion of Mindlin's FSDT in each layer 366 and for FGM sandwich shell in thermal and nonthermal environments. 367 The dynamic characteristics of hemispherical sandwich shells with ER fluid core under clamped-free and clamped-clamped conditions by using the semi-analytical FEM was performed using three-noded line elements with seven DOFs per node. 368 Several HSDTs, defined by a unified formulation, are employed to solve numerically the free vibration problem of sandwich shell structures with variable thickness and made of FGMs.…”

Section: Analytical Modelsmentioning

confidence: 99%

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

Kumar¹,

Srinivasa²

2018

Journal of Thermoplastic Composite Materials

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Many review articles were published on free vibration and buckling of laminated composites, sandwich plates, and shells. The present article reviews the literature on the buckling and free vibration analysis of shear deformable isotropic and laminated composite sandwich plates and shells using various methods available for plates in the past few decades. Various theories, finite element modeling, and experimentations have been reported for the analysis of sandwich plates and shells. Few papers on functionally graded material plates, plates with smart skin (electrorheological, magnetorheological, and piezoelectric), and also viscoelastic materials were also reviewed. The scope for future research on sandwich plates and shells was also accessed.

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“…FDMSK'ların titreşim ve stabilite problemlerinin çözümünde farklı kabuk teorileri ve çeşitli yöntemler kullanılarak çok sayıda çalışma yapılmıştır [8][9][10][11][12]. Bu çalışmaların yanı sıra farklı sınır koşullarının FDM kabukların titreşim problemlerine etkisinin araştırılmasına ait literatürde yeteri kadar çalışmalar mevcuttur [13][14][15].…”

Section: Introductionunclassified

Karişik Sinir Koşullari Altinda Fonksi̇yonel Dereceli̇ Si̇li̇ndi̇ri̇k Kabuklarin Ti̇treşi̇m Anali̇zi̇

Avey¹,

Süzer²

2019

Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi

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Bu makalede, karma sınır koşulları altındaki fonksiyonel derecelendirilmiş malzemelerden (FDM) oluşan silindirik kabukların (FDMSK'ların) dinamik tepkisi klasik kabuk teorisi (KKT) kapsamında incelenmektedir. FDM'lerin özellikleri tanımlanarak, Donnell kabuk teorisi kullanılarak temel bağıntılar ve temel denklemler türetilmektedir. Karma sınır koşulları için temel denklemlere Galerkin yöntemi uygulanarak, frekans için kapalı çözüm elde edilmektedir. Elde edilen ifade dalga sayılarına göre minimize edilerek, frekansın minimum değeri bulunmakta ve literatürdeki sonuçlarla karşılaştırılarak doğruluğu kanıtlanmaktadır. FDM'lerin serbest titreşim frekansı üzerindeki etkileri sayısal olarak detaylı bir biçimde incelenmektedir.

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A layerwise finite element formulation for free vibration analysis of functionally graded sandwich shells

Cited by 44 publications

References 46 publications

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

Karişik Sinir Koşullari Altinda Fonksi̇yonel Dereceli̇ Si̇li̇ndi̇ri̇k Kabuklarin Ti̇treşi̇m Anali̇zi̇

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