Vibration characteristics of pipes conveying fluid in the super-critical range are investigated by using Timoshenko beam theory for the first time. Generalized Hamiltonian principle is applied to derive the nonlinear transverse vibration governing equation. The non-trivial static equilibrium configuration and critical flow velocity of the pipe are analytically deduced. These analytical results are verified by using the finite difference method. Compared with Euler-Bernoulli flow pipeline, it is found that the equilibrium configuration of Timoshenko pipe is larger. In the supercritical regime, natural frequencies of the Timoshenko flow pipe are produced by the Galerkin truncation method. Numerical examples illustrate that vibration characteristics of the pipe are highly sensitive to length, thickness, shear modulus and velocity. The relative difference between the two pipe models is influenced by the velocity of the flow and is likely to exceed 100%. In general, this work found that the flow velocity makes the Timoshenko beam theory even more needed for researching vibration properties of pipes conveying fluid, especially at a high velocity.
Journal of Sound and Vibration – Elsevier
Published: Aug 18, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera