A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Random vibration study of functionally graded porous curved beams with elastically restrained ends
Highlights Random vibration characteristics of the FGP curved beam with elastically restrained ends are studied for the first time. A high-precision and efficient spectral Chebyshev method for random vibrations of the FGP curved beams is proposed. Stationary and fully non-stationary random excitation are applied by pseudo excitation method.
Abstract Firstly, the random vibration characteristics of functionally graded porous (FGP) curved beams with elastically restrained ends are studied. An efficient model is presented by the Timoshenko beam theory and spectral-Chebyshev method. In this paper, three different types of porous distribution are considered, and the relationship between porosity coefficient and material parameters is determined according to the typical mechanical properties of open cell foam metal. Four types of curved beams with different curvatures are selected for the study, which are elliptical beam, parabolic beam, hyperbolic beam and circular beam. The one-dimensional admissible displacement functions of the FGP curved beam are constructed by Chebyshev polynomials of the first kind with Gauss-Lobatto sampling points discretization. Three artificial boundary springs are used to impose elastic boundary constraints at the ends of the curved beam. The pseudo excitation method is used to apply stationary and non-stationary random excitations, including point excitation and base acceleration excitation. The stationary random vibration responses of the FGP curved beam with different boundary conditions, involving the power spectral density (PSD) and root mean square (RMS) values of displacement, velocity and acceleration, are calculated and agreed well with the finite element method (FEM). At last, the RMS values of the non-stationary random vibration response of the FGP curved beam are given.
Random vibration study of functionally graded porous curved beams with elastically restrained ends
Highlights Random vibration characteristics of the FGP curved beam with elastically restrained ends are studied for the first time. A high-precision and efficient spectral Chebyshev method for random vibrations of the FGP curved beams is proposed. Stationary and fully non-stationary random excitation are applied by pseudo excitation method.
Abstract Firstly, the random vibration characteristics of functionally graded porous (FGP) curved beams with elastically restrained ends are studied. An efficient model is presented by the Timoshenko beam theory and spectral-Chebyshev method. In this paper, three different types of porous distribution are considered, and the relationship between porosity coefficient and material parameters is determined according to the typical mechanical properties of open cell foam metal. Four types of curved beams with different curvatures are selected for the study, which are elliptical beam, parabolic beam, hyperbolic beam and circular beam. The one-dimensional admissible displacement functions of the FGP curved beam are constructed by Chebyshev polynomials of the first kind with Gauss-Lobatto sampling points discretization. Three artificial boundary springs are used to impose elastic boundary constraints at the ends of the curved beam. The pseudo excitation method is used to apply stationary and non-stationary random excitations, including point excitation and base acceleration excitation. The stationary random vibration responses of the FGP curved beam with different boundary conditions, involving the power spectral density (PSD) and root mean square (RMS) values of displacement, velocity and acceleration, are calculated and agreed well with the finite element method (FEM). At last, the RMS values of the non-stationary random vibration response of the FGP curved beam are given.
Random vibration study of functionally graded porous curved beams with elastically restrained ends
Liu, Tao (author) / Liang, Weige (author) / Wang, Qingshan (author) / Qin, Bin (author) / Guo, Chenchen (author) / Wang, Ailun (author)
Engineering Structures ; 270
2022-08-19
Article (Journal)
Electronic Resource
English
Buckling of functionally graded and elastically restrained non-uniform columns
| British Library Online Contents | 2009
| British Library Online Contents | 2017
| British Library Online Contents | 2018