Vibration analysis of layered curved arch

Kovács, Béla

doi:10.1016/j.jsv.2013.03.011

Cited by 8 publications

(4 citation statements)

References 23 publications

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“…Farklı sayıdaki asılı kütle-yay sisteminin eğri kirişin düğüm noktalarına göre konumları; a. asılı kütle-yay sistemi yok, b. 25. düğüm noktasında 1 asılı kütle-yay sistemi, c. 13…”

Section: şEkilunclassified

Asili Kütle-Yay Si̇stemleri̇ne Sahi̇p Kompozi̇t Eğri̇ Ki̇ri̇şi̇n Di̇nami̇k Kararlilik Anali̇zi̇

Can¹,

Öztürk²

2020

Uludağ University Journal of the Faculty of Engineering

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Bu çalışmada, asılı kütle-yay sistemine sahip tabakalı kompozit eğri bir kirişin dinamik kararlılığı araştırılmıştır. Kompozit eğri kiriş sabit kesit alana sahip Euler-Bernoulli kirişi olarak dikkate alınmış ve etkin esneklik modülü kullanılmıştır. Bolotin yaklaşımı ve enerji denklemlerine dayanan sonlu elemanlar yöntemi kullanılarak eğri kiriş modeli oluşturulmuştur. MATLAB'de geliştirilen bir sonlu elemanlar kodu ile elde edilen kompozit eğri kirişe ait doğal frekanslar, ANSYS programında elde edilen sonuçlar ile karşılaştırılmıştır. Sonuçların tutarlı olduğu görülmüştür. Tabakalı kompozit eğri kirişin farklı fiber açıları için asılı kütle-yay sisteminin sayısının ve konumunun kirişin kararsızlık bölgelerine etkileri, dinamik yük parametresi ve statik yük parametresi de dikkate alınarak incelenmiştir. Asılı kütle-yay sistemi olmayan eğri kiriş ve asılı kütle-yay sistemine sahip eğri kirişe ait dinamik kararsızlık bölgeleri şekillerle sunulmuştur.

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Section: şEkilunclassified

Asili Kütle-Yay Si̇stemleri̇ne Sahi̇p Kompozi̇t Eğri̇ Ki̇ri̇şi̇n Di̇nami̇k Kararlilik Anali̇zi̇

Can¹,

Öztürk²

2020

Uludağ University Journal of the Faculty of Engineering

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“…Survey paper [14] by Hajianmaleki and Qatu collects a bunch of references up until the early 2010s in the topic investigated. Kovács [15] considers layered arches with both perfect and even imperfect bonding between any two adjacent layers. Article [16] by Juna et al uses the trigonometric shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Green’s functions for nonhomogeneous curved beamswith applications to vibration problems

Kiss¹

2017

JCAM

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In the open literature we have found no report on the Green function matrices of curved beams except papers [1, 2, 3] by Szeidl at al. These works assume that the material of the beam is homogeneous and isotropic. In the present paper we assume that the beam is made of heterogeneous material in such a way that the material properties depend on the cross-sectional coordinates. Under this condition we have the following aims: (1) we would like to determine the Green function matrices in a closed-form for (a) fixed-fixed, (b) pinnedpinned and (c) pinned-fixed circular beams. (2) With the knowledge of the Green function matrices we can reduce those eigenvalue problems which provide the natural frequencies of the free vibrations to eigenvalue problems governed by homogeneous Fredholm integral equations. Our goal in this respect is to solve the latter eigenvalue problems numerically and compare the results obtained with the results of finite element (FE) computations. Our numerical solutions show a good agreement with the commercial FE computations.

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“…The first one presents static and vibration analysis, while the second is a review paper. Kovács (2013) is devoted to modeling vibrations of layered arches with perfect and imperfect bonding between any two adjacent layers. Forced vibrations of curved beams on twoparameter elastic foundation are considered in Çalım (2012).…”

Section: Introductionmentioning

confidence: 99%

Vibrations of Pinned–Pinned Heterogeneous Circular Beams Subjected to a Radial Force at the Crown Point

Kiss

Szeidl

2015

Mechanics Based Design of Structures and Machines

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This article is concerned with the vibrations of heterogeneous circular beams under the assumption that the load of the beam is a dead one and is perpendicular to the centerline. It is assumed that (a) the radius of curvature is constant and (b) Young's modulus and the Poisson ratio depend on the cross-sectional coordinates. We have the following objectives: (1) to determine the Green function matrix for pinned-pinned beams provided that the beam is subjected to a radial load; (2) to develop such a numerical model which makes it possible to determine how the natural frequencies are related to a central concentrated load. We present some computational results in graphical format.

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Vibration analysis of layered curved arch

Cited by 8 publications

References 23 publications

Asili Kütle-Yay Si̇stemleri̇ne Sahi̇p Kompozi̇t Eğri̇ Ki̇ri̇şi̇n Di̇nami̇k Kararlilik Anali̇zi̇

Asili Kütle-Yay Si̇stemleri̇ne Sahi̇p Kompozi̇t Eğri̇ Ki̇ri̇şi̇n Di̇nami̇k Kararlilik Anali̇zi̇

Green’s functions for nonhomogeneous curved beamswith applications to vibration problems

Vibrations of Pinned–Pinned Heterogeneous Circular Beams Subjected to a Radial Force at the Crown Point

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