Dynamic modeling of a three-dimensional braided composite thin plate considering braiding directions

• Published in: Applied mathematics and mechanics Vol. 46; no. 1; pp. 123 - 138
• Main Authors: Gao, Chentong, Sun, Huiyu, Gu, Jianping, Huang, W. M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2025; Springer Nature B.V
• Edition: English ed.
• Subjects: Applications of Mathematics; Axis movements; Braided composites; Braiding; Classical Mechanics; Composite structures; Constitutive equations; Constitutive relationships; Deformation effects; Dynamic models; Fluid- and Aerodynamics; Isotropic material; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Thin plates; Three dimensional composites; Translational motion; composite thin plate; large overall motion; 74E30; three-dimensional (3D) braided composite; O313.7; braiding direction; dynamic model
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-025-3205-8

Currently, there are a limited number of dynamic models available for braided composite plates with large overall motions, despite the incorporation of three-dimensional (3D) braided composites into rotating blade components. In this paper, a dynamic model of 3D 4-directional braided composite thin plates considering braiding directions is established. Based on Kirchhoff’s plate assumptions, the displacement variables of the plate are expressed. By incorporating the braiding directions into the constitutive equation of the braided composites, the dynamic model of the plate considering braiding directions is obtained. The effects of the speeds, braiding directions, and braided angles on the responses of the plate with fixed-axis rotation and translational motion, respectively, are investigated. This paper presents a dynamic theory for calculating the deformation of 3D braided composite structures undergoing both translational and rotational motions. It also provides a simulation method for investigating the dynamic behavior of non-isotropic material plates in various applications.