Size dependent stability analysis of cantilever micro-pipes conveying fluid based on modified strain gradient theory

详细信息    查看全文

• 作者：Mohammad Hosseini ; ^{hosseini@sirjantech.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; ^{moh_hosseini@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Reza Bahaadini
• 关键词：Micro-pipes ; Modified strain gradient theory ; Cantilever ; Flutter instability
• 刊名：International Journal of Engineering Science
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：101
• 期：Complete
• 页码：1-13
• 全文大小：2176 K

文摘

In this paper, size dependent stability analysis of cantilever micro-pipes conveying fluid is investigated. The mathematical derivations are expanded in terms of three length scale parameters using the modified strain gradient theory (MSGT) in conjunction with the Euler–Bernoulli beam model. The MSGT encompasses modified couple stress theory (MCST) and classical theory (CT) when two of three length scale parameters or all of them are taken to be zero, respectively. The size dependent governing equation and associated boundary conditions are derived by applying extended Hamilton's principle and are discretized through the extended Galerkin method. An eigen analysis is performed and a parametric study is then carried out to examine the effect of length scale parameter, outside diameter and aspect ratio on the natural frequencies and the flutter critical speeds. Results affirm that MSGT predicts greater natural frequencies and more flutter critical speeds than that predicted by MCST and CT.