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.
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页码：94 / 100
页数：7
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