Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method

A.J.M. Ferreira; G.E. Fasshauer

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Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method

机译：用RBF-伪谱法计算剪切变形梁和板的固有频率

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摘要

A study of free vibration of Timoshenko beams and Mindlin plates is presented. The analysis is based on a new numerical scheme, where collocation by radial basis functions and pseudospectral methods are combined to produce highly accurate results. Numerical results are presented and discussed for various thickness-to-length ratios.

机译：提出了对Timoshenko梁和Mindlin板的自由振动的研究。该分析基于一种新的数值方案，其中通过径向基函数和伪光谱方法进行的组合可以产生高度准确的结果。给出并讨论了各种厚度/长度比的数值结果。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2006年第3期|p.134-146|共13页
作者
A.J.M. Ferreira; G.E. Fasshauer;
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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
中图分类自动化基础理论;工程基础科学;
关键词
free vibrations; plates; beams; radial basis functions; pseudospectrals; meshless methods;

机译：自由振动;板;梁;径向基函数;伪谱;无网格方法;

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2. Coupling of finite element and meshf ree methods for locking-free analysis of shear-deformable beams and plates [J] . Emre Erkmen, M.A. Bradford Engineering Computations . 2011,第7a8期

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3. Coupled analysis on the thickness-shear vibrations of a quartz plate resonator covered with micro-beams immersed in inviscid liquid and computation of the induced frequency-shift by the surface loadings [J] . Xie Xuan, Kong Lingcheng, Zhang Jun, Mechanics of Advanced Materials and Structures . 2016,第7a12期

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4. Stability and Natural Frequencies of Axial-Loaded Shear-Deformable Beams Using an Improved Two-Node Finite Element [C] . J.B. Kosmatka AIAA/ASME/ASCE/AHS/ASC, structures, structural dynamics, and materials conference . 1994

机译：使用改进的双节点有限元元件的轴向剪切可变形梁的稳定性和自然频率
5. Shear capacity of steel-plate reinforced concrete coupling beams. [D] . Cheng, Pak Cheung. 2004

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6. X-ray beam-shaping via deformable mirrors: surface profile and point spread function computation for Gaussian beams using physical optics [O] . D. Spiga -1

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7. Meshless methods for shear-deformable beams and plates based on mixed weak forms [O] . Hale Jack Samuel Brand 2013

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Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method

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