Applied Mathematics and Mechanics >
Dynamic modeling of a three-dimensional braided compositethin plate considering braiding directions
Received date: 2024-08-07
Revised date: 2024-11-15
Online published: 2025-01-06
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 12372071 and 12372070), the Aeronautical Science Fund of China (No. 2022Z055052001), and the Foundation of China Scholarship Council (No. 202306830079)
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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.
Chentong GAO, Huiyu SUN, Jianping GU, W. M. HUANG . Dynamic modeling of a three-dimensional braided compositethin plate considering braiding directions[J]. Applied Mathematics and Mechanics, 2025 , 46(1) : 123 -138 . DOI: 10.1007/s10483-025-3205-8
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