Free vibration analysis of orthogonal-woven fabric composites |
| |
| Affiliation: | 1. College of Mathematical Science, Tianjin Normal University, Tianjin City 300071, PR China;2. Department of Mathematics, Taiyuan University of Technology, Taiyuan Shanxi 030024, PR China;1. Department of Physics and Mathematics, South Ural State Humanitarian-Pedagogical University, Chelyabinsk 454080, Russia;2. Department of Mathematics, Chelyabinsk State University, Chelyabinsk 454080, Russia;3. School of Electrical Engineering and Computer Science, South Ural State University (national research university), Chelyabinsk 454080, Russia;4. Institute of Natural Sciences, South Ural State University (national research university), Chelyabinsk 454080, Russia |
| |
| Abstract: | This paper presents a study on the free vibration analysis of orthogonal-woven fabric composites. The fabrics are composed of two sets of mutually orthogonal yarns of either the same material (nonhybrid fabrics) or different materials (hybrid fabrics). We focus on the repeating unit of the woven structure, known as a `unit cell'. Based upon the one-dimensional (1D) elasto-dynamic analysis developed by the authors for such a woven fabric composite, the free vibration problem is formulated and solved for four basic boundary conditions. Natural frequency equations and natural modes are obtained analytically. For the special case of two bonded isotropic layers, closed-form solutions of natural frequencies and natural modes are given. It has been shown that numerical solutions can readily be carried out for woven fabric composites with arbitrary combinations of material and geometrical parameters. As an example, the first ten natural frequencies for plain weave composites based upon graphite/epoxy and glass/polyester are presented and discussed. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
