The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition

المؤلفون المشاركون

Pang, Fuzhen
Li, Lijie
Li, Haichao
Wang, Xueren
Du, Yuan
Li, Shuo

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-32، 32ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2017-10-31

دولة النشر

مصر

عدد الصفحات

32

التخصصات الرئيسية

هندسة مدنية

الملخص EN

The aim of this paper is to extend the modified Fourier-Ritz approach to evaluate the free vibration of four-parameter functionally graded moderately thick cylindrical, conical, spherical panels and shells of revolution with general boundary conditions.

The first-order shear deformation theory is employed to formulate the theoretical model.

In the modified Fourier-Ritz approach, the admissible functions of the structure elements are expanded into the improved Fourier series which consist of two-dimensional (2D) Fourier cosine series and auxiliary functions to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges regardless of boundary conditions and then solve the natural frequencies by means of the Ritz method.

As one merit of this paper, the functionally graded cylindrical, conical, spherical shells are, respectively, regarded as a special functionally graded cylindrical, conical, spherical panels, and the coupling spring technology is introduced to ensure the kinematic and physical compatibility at the common meridian.

The excellent accuracy and reliability of the unified computational model are compared with the results found in the literatures.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Li, Lijie& Li, Haichao& Pang, Fuzhen& Wang, Xueren& Du, Yuan& Li, Shuo. 2017. The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-32.
https://search.emarefa.net/detail/BIM-1192623

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Li, Lijie…[et al.]. The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition. Mathematical Problems in Engineering No. 2017 (2017), pp.1-32.
https://search.emarefa.net/detail/BIM-1192623

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Li, Lijie& Li, Haichao& Pang, Fuzhen& Wang, Xueren& Du, Yuan& Li, Shuo. The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-32.
https://search.emarefa.net/detail/BIM-1192623

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1192623