Elastic and Viscoelastic Stresses of Nonlinear Rotating Functionally Graded Solid and Annular Disks with Gradually Varying Thickness

• Autorzy: Allam M. N. M. , Tantawy R. , Yousof A. , Zenkour A. M.

Identyfikatory

DOI

10.1515/meceng-2017-0025

• Języki publikacji: EN

Abstrakty

EN

Analytical and numerical nonlinear solutions for rotating variable-thickness functionally graded solid and annular disks with viscoelastic orthotropic material properties are presented by using the method of successive approximations.Variable material properties such as Young’s moduli, density and thickness of the disk, are first introduced to obtain the governing equation. As a second step, the method of successive approximations is proposed to get the nonlinear solution of the problem. In the third step, the method of effective moduli is deduced to reduce the problem to the corresponding one of a homogeneous but anisotropic material. The results of viscoelastic stresses and radial displacement are obtained for annular and solid disks of different profiles and graphically illustrated. The calculated results are compared and the effects due to many parameters are discussed.

Słowa kluczowe

EN

nonlinear rotation; viscoelasticity; functionally graded materials; successive approximations method; annular disk; solid disk; gradually varying thickness

PL

rotacja nieliniowa; lepkosprężystość; funkcjonalne materiały gradientowe; metoda kolejnych przybliżeń; dysk pierścieniowy; dysk stały; stopniowa zmiana grubości

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. LXIV, nr 4
• Strony: 423--440
• Opis fizyczny: Bibliogr. 32 poz., rys.

Twórcy

autor

Allam M. N. M.

• Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

autor

Tantawy R.

• Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, Egypt

autor

Yousof A.

• Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, Egypt

autor

Zenkour A. M.

• Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
• Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).