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首页> 外文期刊>International journal of structural stability and dynamics >Analysis of Laminated Plates and Shells Using B-Spline Wavelet on Interval Finite Element
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Analysis of Laminated Plates and Shells Using B-Spline Wavelet on Interval Finite Element

机译：在间隔有限元上使用B样曲线小波的层压板和壳体的分析

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摘要

Composite materials, with characteristics of light weight and high strength, are useful in manufacturing. Therefore, precise design and analysis is the first key procedure in composite applications, improper analysis or use of composite materials may cause serious failures. In this paper, wavelet finite element method (WFEM) based on B-spline wavelet on the interval (BSWI) is constructed for precise analysis of laminated plates and shells, which gives a guidance in design and application of composite structures. First, FEM formulations are derived from the generalized potential energy function based on the generalized variational principle and virtual work principle. Then, BSWI scaling functions are used as interpolation function to discretize the solving displacement field variables. At the same time, transformation matrix is constructed and used to translate the meaningless wavelet coefficients into physical space. At last, the static analysis results can be obtained by solving the FEM formulations. Due to the excellent features of BSWI, such as multiresolution, multiscale, localization and excellent numerical approximation characteristics etc., BSWI-based FEM can achieve accurate and efficient analysis by comparing with traditional methods. In the end, the effectiveness of the constructed BSWI WFEM is verified through several numerical examples.
机译：复合材料，具有轻质和高强度的特性，可用于制造。因此，精确的设计和分析是复合应用中的第一个关键程序，复合材料的分析不当或使用可能导致严重失败。在本文中，构建基于间隔（BSWI）上的B样条小波的小波有限元方法（WFEM）以精确地分析层压板和壳体，这在复合结构的设计和应用中提供了指导。首先，基于广义变分原理和虚拟工作原理，FEM制剂源自广义势能函数。然后，BSWI缩放功能用作插值函数，以便离散化求解位移场变量。同时，构造转换矩阵并用于将无意义的小波系数转换为物理空间。最后，通过求解FEM制剂，可以获得静态分析结果。由于BSWI的优秀特征，例如多分辨率，多尺度，定位和优异的数值近似特性等，基于BSWI的FEM可以通过与传统方法进行比较来实现准确和有效的分析。最后，通过若干数值示例验证构建的BSWI WFEM的有效性。

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