Analytical solutions to orthotropic variable thickness disk problems

Eraslan, Ahmet N.; Kaya, Yasemın; Varlı, Ekin

doi:10.5505/pajes.2016.91979

Cited by 3 publications

(6 citation statements)

References 5 publications

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“…in which ST terms, once again, express the components of the stiffness matrix in Eq. (14). In the case of rotating cylinders with central holes, / and N are found by the following boundary conditions…”

Section: Analytical Solutionmentioning

confidence: 99%

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Elastic Stresses of Rotating Transversely Isotropic Fiber Reinforced Composite Cylinders

Farukoğlu

Korkut

2020

International Journal of Engineering and Applied Sciences

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In this study, rotating long thick-walled fiber reinforced composite cylinders with closed ends are investigated within the elastic limits by using analytical methods. Hoffman yield criterion is employed to the elastic problem to find limit angular velocities. Composite bodies of the cylinders are consisting of isotropic matrix and transversely isotropic fibers which are unidirectionally aligned in the circumferential direction. Alterations on the elastic stress and displacement fields are examined by taking various fiber volume fraction and wall thickness values. Obtained results emphasize that both parameters highly influence the distributions of stress, displacement, and commencement of the yielding.

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Section: Analytical Solutionmentioning

confidence: 99%

“…Similar studies are also carried out for orthotropic cylindrical structures. Rotating orthotropic disks have been the subject of various engineering studies [11][12][13][14]. Likewise, solutions have been proposed to orthotropic cylinder investigations with [15,16] or without [17,18] the influence of thermal stresses.…”

Section: Introductionmentioning

confidence: 99%

Elastic Stresses of Rotating Transversely Isotropic Fiber Reinforced Composite Cylinders

Farukoğlu

Korkut

2020

International Journal of Engineering and Applied Sciences

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“…From the composite materials, polar orthotropic materials were used to increase the critical speeds of rotating disks (Tang 1969, Murthy and Sherbourne 1970, Reddy and Srinath 1974, Ari-Gur and Stavsky 1981, Jain et al 1999, Tütüncü 2000, Liang et al 2002, Singh and Jain 2004, Çallıoğlu 2007, Çallıoğlu et al 2005, Koo 2006, Gupta et al 2006, Li et al 2007, Eraslan et al 2016, Yıldırım 2018a. Murthy and Sherbourne (1970) presented analytical solutions for rotating anisotropic hollow discs with variable thickness for an annular disc (free-free) and a disc mounted on a circular rigid shaft (fixedfree).…”

Section: Introductionmentioning

confidence: 99%

“…Çallıoğlu et al (2006) investigated analytically the elastic-plastic stress analysis of a curvilinearly orthotropic rotating annular disc for strain hardening material behavior. Eraslan et al (2016) developed an analytical solution in terms of hypergeometric functions to estimate the mechanical response of nonisothermal, orthotropic, variable thickness disks under a variety of boundary conditions such as rotating annular disks with two free surfaces, stationary annular disks with pressurized inner and free outer surfaces, and free inner and pressurized outer surfaces. Yıldırım (2018a) introduced the complementary functions method (CFM) for the initial value problem solutions to the linear elastic analysis of anisotropic rotating uniform discs.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2019

AJS

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Mission ATINER is a World Non-Profit Association of Academics and Researchers based in Athens. ATINER is an independent Association with a Mission to become a forum where Academics and Researchers from all over the world can meet in Athens, exchange ideas on their research and discuss future developments in their disciplines, as well as engage with professionals from other fields. Athens was chosen because of its long history of academic gatherings, which go back thousands of years to Plato's Academy and Aristotle's Lyceum. Both these historic places are within walking distance from ATINER"s downtown offices. Since antiquity, Athens was an open city. In the words of Pericles, Athens"…is open to the world, we never expel a foreigner from learning or seeing". ("Pericles" Funeral Oration", in Thucydides, The History of the Peloponnesian War). It is ATINER"s mission to revive the glory of Ancient Athens by inviting the World Academic Community to the city, to learn from each other in an environment of freedom and respect for other people"s opinions and beliefs. After all, the free expression of one"s opinion formed the basis for the development of democracy, and Athens was its cradle. As it turned out, the Golden Age of Athens was in fact, the Golden Age of the Western Civilization. Education and (Re)searching for the "truth" are the pillars of any free (democratic) society. This is the reason why Education and Research are the two core words in ATINER"s name.

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“…From the composite materials, polar orthotropic materials were used to increase the critical speeds of rotating disks (Tang 1969, Murthy and Sherbourne 1970, Reddy and Srinath 1974, Ari-Gur and Stavsky 1981, Jain et al 1999, 2000, Tütüncü 2000, Liang et al 2002, Singh and Jain 2004, Çallıoğlu 2007, Çallıoğlu et al 2005, 2006, Koo 2006, 2008, Gupta et al 2006, Li et al 2007, Eraslan et al 2016, Yıldırım 2018a. Murthy and Sherbourne (1970) presented analytical solutions for rotating anisotropic hollow discs with variable thickness for an annular disc (free-free) and a disc mounted on a circular rigid shaft (fixedfree).…”

Section: Introductionmentioning

confidence: 99%

Centrifugal Force-Induced Elastic Field for a Stress-Free Annulus Made of Functionally Graded Polar Orthotropic Material from Circular Plates to Rings

Yıldırım¹

2019

AJS

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Formation of a new kind of advanced material type from polar orthotropic materials obeying certain functional material grading rules has gained a great importance lately. In this study, a circular annulus rotating at a constant angular velocity and made of such kind of advanced materials having the same inhomogeneity index for both elasticity moduli and material density is studied analytically. Governing equation in terms of radial displacement is derived from the elasticity theory under axisymmetric conditions and plane stress assumption for such structures. After deriving closed-form solutions, effect of the aspect ratio (inner radius/outer radius) of a rotating circular annulus with uniform thickness on the dimensionless elastic field is investigated. It is observed that both the aspect ratio and inhomogeneity index of a simple power-law material grading rule have significant impacts on the linear elastic response arising out of rotation of the annulus at a constant angular velocity.

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Analytical solutions to orthotropic variable thickness disk problems

Cited by 3 publications

References 5 publications

Elastic Stresses of Rotating Transversely Isotropic Fiber Reinforced Composite Cylinders

Elastic Stresses of Rotating Transversely Isotropic Fiber Reinforced Composite Cylinders

Untitled

Centrifugal Force-Induced Elastic Field for a Stress-Free Annulus Made of Functionally Graded Polar Orthotropic Material from Circular Plates to Rings

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