Free vibration of rib-reinforced composite laminates and its optimization

被引：0

作者：

Liang H. ^{[1
]}

Xia F. ^{[1
]}

Jin F. ^{[1
]}

Shi C. ^{[1
]}

Xue J. ^{[1
]}

机构：

[1] MOE Key Laboratory of Disaster Forecast and Control in Engineering, School of Mechanics and Construction Engineering, Jinan University, Guangzhou

来源：

Zhendong yu Chongji/Journal of Vibration and Shock | 2021年 / 40卷 / 18期

关键词：

Energy method; Free vibration; Laminated structure; Stiffened structure; Theory of plates and shells;

D O I：

10.13465/j.cnki.jvs.2021.18.025

中图分类号：

学科分类号：

摘要：

The free vibration of composite laminates reinforced by longitudinal and transverse ribs was analysed. Constitutive equations were derived based on Kirchhoff-Love assumptions and according to the structural mechanics of composite materials. Using the second law of thermodynamics and Ritz method, a characteristic equation was established to calculate the natural frequency of free vibration of simply supported composite laminates reinforced by longitudinal and transverse ribs. By developing MATLAB program, the influence of rib, including its number and the geometric parameters of its cross section, on the natural frequency of composite laminates was analyzed. According to the parametric study, a further optimization scheme of ribs was put forward so as to acquire the best strength-to-weight ratio. The analytical solutions obtained herein were compared with the finite element results of ABAQUS analysis and it is found they are in good agreement with the latter, thereby demonstrating the correctness of the theoretical approach. The theoretical approach proposed avoids the solving of the coupling relationship between the ribs and the composite laminate which must be considered in solving equilibrium equations. More importantly, this approach can be effectively applied to evaluate the free vibration characteristics of laminates reinforced by ribs made of different materials with different cross-section geometry and unequal spacing placement. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.

引用

页码：190 / 196

页数：6

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