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Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories
المؤلفون المشاركون
Nguyen, Dinh Kien
Le, Cong Ich
Pham, Vu Nam
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-13، 13ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-04-07
دولة النشر
مصر
عدد الصفحات
13
التخصصات الرئيسية
الملخص EN
A refined third-order shear deformation theory (RTSDT), in which the transverse displacement is split into bending and shear parts, is employed to formulate a four-node quadrilateral finite element for free vibration analysis of functionally graded sandwich (FGSW) plates partially supported by a Pasternak foundation.
An element based on the refined first-order shear deformation theory (RFSDT) which requires a shear correction factor is also derived for comparison purpose.
The plates consist of a fully ceramic core and two functionally graded skin layers with material properties varying in the thickness direction by a power gradation law.
The Mori–Tanaka scheme is employed to evaluate the effective moduli.
The elements are derived using Lagrangian and Hermitian polynomials to interpolate the in-plane and transverse displacements, respectively.
The numerical result reveals that the frequencies obtained by the RTSDT element are slightly higher than the ones using the RFSDT element.
It is also shown that the foundation supporting area plays an important role on the vibration of the plates, and the effect of the material distribution on the frequencies is dependent on this parameter.
A parametric study is carried out to highlight the effects of the material inhomogeneity, the foundation stiffness parameters, and the foundation supporting area on the frequencies and vibration modes.
The influence of the layer thickness and aspect ratios on the frequencies is also examined and highlighted.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Le, Cong Ich& Pham, Vu Nam& Nguyen, Dinh Kien. 2020. Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1197726
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Le, Cong Ich…[et al.]. Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories. Mathematical Problems in Engineering No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1197726
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Le, Cong Ich& Pham, Vu Nam& Nguyen, Dinh Kien. Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1197726
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1197726
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