Dynamic response of viscoelastic tapered cycloidal rods

Aslan, Timuçin Alp; Noori, Ahmad Reshad; Temel, Beytullah

doi:10.1016/j.mechrescom.2018.06.006

Cited by 17 publications

(8 citation statements)

References 19 publications

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“…Burada ( .̅ ) ile gösterilen ifadeler büyüklüklerin Laplace Dönüşümünü göstermektedir. s, Laplace parametresi olup, kompleks bir sayıdır [13]. Serbest titreşim analizleri için Laplace parametresi 's', serbest titreşim parametresi, "iω" ile değiştirilmiştir.…”

Section: çİft Yönlü Fonksi̇yonel Derecelenmi̇ş Malzemeli̇ Timoshenko Ki̇ri̇şleri̇ni̇n Serbest Ti̇treşi̇m Anali̇zi̇unclassified

Çi̇ft Yönlü Fonksi̇yonel Derecelenmi̇ş Malzemeli̇ Timoshenko Ki̇ri̇şleri̇ni̇n Serbest Ti̇treşi̇m Anali̇zi̇

Aslan

Noori

Temel

2019

Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi

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Bu çalışmada, çift yönlü fonksiyonel derecelenmiş malzemeden (FDM) yapılmış doğru eksenli kirişlerin serbest titreşim analizi frekans uzayında incelenmiştir. FDM çubukları idare eden denklemler birinci mertebe kayma deformasyon teorisine dayalı minimum toplam enerji prensibi yardımıyla elde edilmiştir. Temel denklemler, birinci mertebeden adi diferansiyel denklem takımına dönüştürülür. Kanonik halde elde edilen bu denklemler, Tamamlayıcı Fonksiyonlar Yöntemi (TFY) yardımıyla sayısal olarak çözülmektedir. Problemin serbest titreşim analizi için, Fortran dilinde bir bilgisayar programı hazırlanmıştır. Hazırlanan bilgisayar programın doğruluğu, bu çalışmanın sonuçları ve literatürdeki mevcut sonuçların karşılaştırılması ile gösterilmiştir.

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Section: çİft Yönlü Fonksi̇yonel Derecelenmi̇ş Malzemeli̇ Timoshenko Ki̇ri̇şleri̇ni̇n Serbest Ti̇treşi̇m Anali̇zi̇unclassified

Çi̇ft Yönlü Fonksi̇yonel Derecelenmi̇ş Malzemeli̇ Timoshenko Ki̇ri̇şleri̇ni̇n Serbest Ti̇treşi̇m Anali̇zi̇

Aslan

Noori

Temel

2019

Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi

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“…The layers are considered to be in a perfect bond with each other. CFM has been proven to be an accurate and efficient numerical method [17][18][19] for the present type problem is infused into the analysis.…”

Section: Introductionmentioning

confidence: 99%

An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

Yıldırım¹

2020

Cumhuriyet Science Journal

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The free vibration characteristics of composite sandwich beam is examined using an efficient numerical solution scheme. The simply supported beam is assumed to be composed of two isotropic face sheets and an orthotropic core. The plane elasticity formulations are used to derive the equations of motion and the reduced governing differential equation is solved by Complementary Functions Method. The dimensionless analysis of natural frequencies is done to acquire the high precision along with few divisions. The influences of material and geometric parameters on the natural frequency are also illustrated. The solutions are validated with the results obtained from finite element software and it is shown that presented method is an efficient solution technique for the vibration problems of composite beams with a core.

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“…The transfer matrix method has been widely used as a tractable numerical method to investigate the dynamic characteristics of vibrating beam structures, and the advantages of this method compared with other approaches have been discussed in previous studies [30,32,35]. In addition, numerous studies pertaining to the dynamic characteristics of non-uniform beam and rods have been performed recently [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of tapered Rayleigh beams using the transfer matrix method

Lee

2020

J Braz. Soc. Mech. Sci. Eng.

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In this study, an exact transfer matrix method is developed to analyze the effect of rotatory inertia and tapering on the free vibration characteristics of tapered Rayleigh beams. The beam model developed addresses practical cross sections, including single-tapered and double-tapered beams. The governing differential equation is solved using the Frobenius method for power series solutions, and then, the transfer matrix is formulated to transform the state vectors defined from the displacements, bending moment, and shear force at the start and end points. To investigate the effect of rotatory inertia and taper ratio on the natural frequencies and mode shapes of beam structures, the length-to-height ratios of tapered beams with four classical boundary conditions and various taper ratios are examined. The accuracy of the developed method is demonstrated using the comparative results predicted in previous studies. Through a parametric study, the numerical results that are useful in practical applications are offered, and relevant conclusions not discussed in previous studies are proposed. Furthermore, the results discussed can serve as a benchmark solution.

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Dynamic response of viscoelastic tapered cycloidal rods

Cited by 17 publications

References 19 publications

Çi̇ft Yönlü Fonksi̇yonel Derecelenmi̇ş Malzemeli̇ Timoshenko Ki̇ri̇şleri̇ni̇n Serbest Ti̇treşi̇m Anali̇zi̇

Çi̇ft Yönlü Fonksi̇yonel Derecelenmi̇ş Malzemeli̇ Timoshenko Ki̇ri̇şleri̇ni̇n Serbest Ti̇treşi̇m Anali̇zi̇

An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

Free vibration analysis of tapered Rayleigh beams using the transfer matrix method

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