Free vibration of functionally graded parabolic and circular panels with general boundary conditions

• Autorzy: Hong Zhang , Dongyan Shi , Qingshan Wang , Bin Qin
• Języki publikacji: EN

Abstrakty

EN

The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to consider the effects of the transverse shear and rotary inertia of the panel structures. The functionally graded panel structures consist of ceramic and metal which are assumed to vary continuously through the thickness according to the power-law distribution, and two types of power-law distributions are considered for the ceramic volume fraction. The improved Fourier series method is applied to construct the new admissible function of the panels to surmount the weakness of the relevant discontinuities with the original displacement and its derivatives at the boundaries while using the traditional Fourier series method. The boundary spring technique is adopted to simulate the general boundary condition. The unknown coefficients appearing in the admissible function are determined by using the Ritz procedure based on the energy functional of the panels. The numerical results show the present method has good convergence, reliability and accuracy. Some new results for functionally graded parabolic and circular panels with different material distributions and boundary conditions are provided, which may serve as benchmark solutions.

Słowa kluczowe

EN

Vibration; Fourier-Ritz method; Functionally graded panels

• Wydawca: De Gruyter Open
• Czasopismo: Curved and Layered Structures
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 52-84

Daty

wydano

2017-01-01

otrzymano

2016-11-23

zaakceptowano

2016-11-24

online

2017-05-03

Twórcy

autor

Hong Zhang

• College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001,

autor

Dongyan Shi

• College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001,

autor

Qingshan Wang

• College of Mechanical and Electrical Engineering, Central South University, Changsha, 410083,

autor

Bin Qin

• Institute for turbulence-noise-vibration interaction and control, Shenzhen graduate school, Harbin Institute of Technology, Shenzhen, 51800,

Identyfikatory

DOI

10.1515/cls-2017-0006