A spectral element method for modelling a rectangular plate vibration in frame structures

被引：0
作者：
Cao R. [1 ]
Ma M. [1 ]
Sun X. [1 ]
Liu W. [1 ]
机构：
[1] School of Civil Engineering, Beijing Jiaotong University, Beijing
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2021年 / 40卷 / 24期
关键词：
Accuracy; Bending vibration; Computational efficiency; Coulped 'plate-beam-column' structure; Rectangular plate; Spectral element method(SEM);
D O I：
10.13465/j.cnki.jvs.2021.24.013
中图分类号：
学科分类号：
摘要：
To improve the accuracy of the building vibration in the high frequency range, a modified spectral element method (SEM) was proposed to analyze the dynamic response of a rectangular plate and the plate coupled with beams and columns. First the plate was split into two sub-problems, each of which was solved as a quasi-one-dimensional problem using the spectral element method based on the governing equation of the Kirchhoff plate. Then the nodal dofs was modified to be in accord with the dofs of beams and columns by using the least-squares approach. After that the coupled 'plate-beam-column' structure was solved entirely by the spectral element method. Some examples were given to validate the developed method and it shows that the spectral element method gives accurate result and is more computationally efficient than the finite element method. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.
引用
收藏
页码：99 / 106
页数：7
相关论文
共 16 条
  • [1] STANDARD I, ISO B., Mechanical vibration ground borne noise and vibration arising from rail systems-Part 1: general guidance: ISO 14837, (2005)
  • [2] (2016)
  • [3] (1989)
  • [4] CHEUNG M S, CHEUNG Y K., Natural vibrations of thin, flat-walled structures with different boundary conditions, Journal of Sound and Vibration, 18, 3, pp. 325-337, (1971)
  • [5] LIN Y K, DONALDSON B K., A brief survey of transfer matrix techniques with special reference to the analysis of aircraft panels, Journal of Sound and Vibration, 10, 1, pp. 103-143, (1969)
  • [6] GAVRIC L., Finite element computation of dispersion properties of thin-walled waveguides, Journal of Sound and Vibration, 173, 1, pp. 113-124, (1994)
  • [7] LANGLEY R S., Application of the dynamic stiffness method to the free and forced vibrations of aircraft panels, Journal of Sound and Vibration, 135, 2, pp. 319-331, (1989)
  • [8] DOYLE J F., Wave propagation in structures: spectral analysis using fast discrete fourier transforms, (1997)
  • [9] LEE U., Vibration analysis of one-dimensional structures using the spectral transfer matrix method, Engineering Structures, 22, 6, pp. 681-690, (2000)
  • [10] LEE U, KIM J., Dynamics of elastic-piezoelectric two-layer beams using spectral element method, International Journal of Solids and Structures, 37, 32, pp. 4403-4417, (2000)
12