High-frequency vibration analysis of thin plate based on wavelet-based FEM using B-spline wavelet on interval

• Published in: Science China. Technological sciences Vol. 60; no. 5; pp. 792 - 806
• Main Authors: Geng, Jia, Zhang, XingWu, Chen, XueFeng, Xue, XiaoFeng
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 01.05.2017; Springer Nature B.V
• Subjects: Boundary conditions; Engineering; Finite element method; 小波域; 振动分析; 有限元法; 薄板; 高频; thin plate; wavelet multi-elements method; high-order natural frequency; plate bending vibrations
• ISSN: 1674-7321; 1869-1900
• DOI: 10.1007/s11431-016-0140-1

The wavelet finite element methods （WFEMs） own higher calculation accuracy and efficiency for structure analysis. Unfortunately, the existing WFEMs are still limited in low-frequency domain when capturing dynamic characteristics of thin plate. This paper proposes the wavelet multi-elements method based on C1 type B-spline Kirchhoff plate （CIBKP） element to break up this limitation. The validity, numerical stability and convergence respectively are investigated systematically in numerical study. The corresponding results show that the calculation accuracy and numerical stability are very excellent when predicting the high-order natural frequency. The maximum relative errors can be rapidly reduced to 0.4% within the first 1000 modes of thin plate under simply supported. Besides, the method is suitable for predicting the dynamic characteristics of thin plate under various boundary conditions.