Static and free vibration analysis of composite shells by radial basis functions

A.J.M. Ferreira; C.M.C. Roque; R.M.N. Jorge

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Static and free vibration analysis of composite shells by radial basis functions

机译：基于径向基函数的复合材料壳体静，自由振动分析

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The higher-order shear deformation theory of laminated orthotropic elastic shells of Reddy accounts for parabolic distribution of the transverse shear strains through the thickness of the shell. The Reddy shell theory allows the fulfillment of homogeneous conditions (zero values) at the top and bottom surfaces of the shell. This paper deals with a meshless solution of the Reddy higher order shell theory in static and free vibration analysis. The meshless technique is based on the asymmetric global multiquadric radial basis function method proposed by Kansa. This paper demonstrates that this truly meshless method is very successful in the static and free vibration analysis of laminated composite shells.

机译：雷迪叠层正交各向异性弹性壳的高阶剪切变形理论解释了贯穿壳厚度的横向剪切应变的抛物线分布。雷迪壳理论允许在壳的顶面和底面满足均质条件（零值）。本文在静态和自由振动分析中处理了Reddy高阶壳理论的无网格解决方案。无网格技术是基于Kansa提出的非对称全局多二次径向基函数方法。本文证明了这种真正的无网格方法在层压复合材料壳的静，自由振动分析中非常成功。

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来源
《Engineering analysis with boundary elements》 |2006年第9期|p.719-733|共15页
作者
A.J.M. Ferreira; C.M.C. Roque; R.M.N. Jorge;
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作者单位

Departamento de Engenharia Mecanica e Gestao Industrial, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类工程数学;
关键词
radial basis functions; composite materials; shells; collocation methods; free vibrations;

机译：径向基函数;复合材料;壳体;配置方法;自由振动;

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专利

1. Mesh-free radial basis function method for static, free vibration and buckling analysis of shear deformable composite laminates [J] . L. Liu, L.P. Chua, D.N. Ghista Composite Structures . 2007,第1期

机译：用于剪切变形复合材料层合板静，自由振动和屈曲分析的无网格径向基函数方法
2. Thin plate spline radial basis function for the free vibration analysis of laminated composite shells [J] . Song Xiang, Ze-yang Bi, Shao-xi Jiang, Composite Structures . 2011,第2期

机译：薄板花键径向基函数用于层合复合材料壳体的自由振动分析
3. A partition-of-unity based 'FE-Meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysis [J] . Yongtao Yang, Dongdong Xu, Hong Zheng Engineering analysis with boundary elements . 2016,第Apra期

机译：基于单元划分的具有径向多项式函数的基于“ FE-Meshfree”的三角单元，用于静态和自由振动分析
4. Static and Free Vibration Analysis of Functionally Graded Shells Using a Cell-Based Smoothed Discrete Shear Gap Method and Triangular Elements [C] . D. Le-Xuan, H. Pham-Quoc, V. Tran-The, International Conference on Advances in Computational Mechanics . 2018

机译：使用基于细胞的平滑离散剪切隙法和三角形元素的功能梯度壳的静态和自由振动分析
5. Static and free vibration analyses of composite shells based on different shell theories [D] . Asadi, Ebrahim. 2011

机译：基于不同壳理论的复合壳静态和自由振动分析
6. Wave Based Method for Free Vibration Analysis of Cross-Ply Composite Laminated Shallow Shells with General Boundary Conditions [O] . Dongyan Shi, Dongze He, Qingshan Wang, 2019

机译：基于波的边界条件下复合材料层合薄壳自由振动分析
7. Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations [O] . Neves A.M.A., Ferreira A.J.M., Carrera Erasmo, 2013

机译：基于高阶剪切变形理论和径向基函数搭配的功能梯度壳体自由振动分析，考虑了整个厚度的变形

Static and free vibration analysis of composite shells by radial basis functions

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