Novel differential quadrature element method for vibration analysis of hybrid nonlocal Euler-Bernoulli beams

被引：35

作者：

Wang, Xinwei ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 77卷

关键词：

Differential quadrature element method; Multiple boundary conditions; Hybrid nonlocal Euler-Bernoulli beam; Free vibration; ELASTIC MATRIX;

D O I：

10.1016/j.aml.2017.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A novel differential quadrature element method is presented for free vibration analysis of hybrid nonlocal Euler-Bernoulli beams with any combination of boundary conditions. Explicit formulas of computing the weighting coefficients of various derivatives are derived. Sixth-order differential equations are successfully solved by using the proposed method. Accurate frequencies are obtained and presented. The proposed method can be also used for accurate solutions of various sixth-order differential equations and beam structures with minimum computational effort. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：94 / 100

页数：7

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