Fundamental frequency response analysis of local nonlinear structures with single-sided limitation

被引：0
|
作者：
Sun Y. [1 ]
Wan Y. [1 ]
Chen L. [1 ]
Guo Q. [2 ]
机构：
[1] Department of Mechanics and Engineering Science, Fudan University, Shanghai
[2] Shanghai Key Laboratory of Spacecraft Mechanism, Shanghai
来源：
Chen, Lifen | 2018年 / Chinese Vibration Engineering Society卷 / 37期
关键词：
Describing function; Fundamental frequency response; Inverse matrix updating method; Local nonlinearity; Single-sided limitation;
D O I：
10.13465/j.cnki.jvs.2018.18.031
中图分类号：
学科分类号：
摘要：
For large-scale nonlinear structures with local single-sided limitation, the fundamental frequency response characteristic is often closely related to the position and size of the limitation.The analysis method for nonlinear structures was mainly studied.The frequency domain characteristics of nonlinearity were characterized by the describing function first appeared in the nonlinear control. The inverse matrix updating method was used to reduce the processing dimension, which greatly improves the computational efficiency of frequency domain response.The numerical method Runge-Kutta was adopted to verify the effectiveness of the method. The first-order frequency response curve of a T-shaped beam was analysed by simulations and experiments. © 2018, Editorial Office of Journal of Vibration and Shock. All right reserved.
引用
收藏
页码：216 / 223and250
相关论文
共 21 条
  • [1] Hu H., Tian Q., Zhang W., Et al., Nonlinear dynamics and control of large deployable space structures composed of trusses and meshes, Advances in Mechanics, 43, 4, pp. 390-414, (2013)
  • [2] Wang J., Li J., Fan L., A study on the design method of seismic restrainers for bridges, China Civil Engineering Journal, 39, 11, pp. 90-95, (2006)
  • [3] Krishna I.R.P., Padmanabhan C., Experimental and numerical investigations of impacting cantilever beams part 1: first mode response, Nonlinear Dynamics, 67, 3, pp. 1985-2000, (2012)
  • [4] Chen J.E., Zhang W., Guo X.Y., Et al., Theoretical and experimental studies on nonlinear oscillations of symmetric cross-ply composite laminated plates, Nonlinear Dynamics, 73, 3, pp. 1697-1714, (2013)
  • [5] Erkaya S., Dogan S., Ulus, Effects of joint clearance on the dynamics of a partly compliant mechanism: numerical and experimental studies, Mechanism & Machine Theory, 88, pp. 125-140, (2015)
  • [6] Yan S., Chen L., Ji L., Et al., Dynamic modeling of multibody system with clearance joints, Journal of Vibration Engineering, 16, 3, pp. 290-294, (2003)
  • [7] Li X., Zhao J., Zhang C., Research on subsection modeling method of shock resistance performance of the single stage vibration-isolating system with displacement restrictors, Journal of Sichuan Ordnance, 8, pp. 29-32, (2016)
  • [8] Cheng C., Peng Z., Meng G., Random vibration frequency response analysis of nonlinear systems based on volterra series, Acta Mechanica Sinica, 43, 5, pp. 905-913, (2011)
  • [9] Maezawa S., Furukawa S., Superharmonic resonance in piecewise linear systems, Bulletin of the Japanese Society Mechanical Engineers, 16, pp. 931-941, (1973)
  • [10] Shaw S.W., Holmes P.J., A periodically forced piecewise linear oscillator, Journal of Sound and Vibration, 90, 1, pp. 129-155, (1983)
123