On the stability of a flexibly mounted rotating cylinder partially filled with liquid

M. Kuipers

doi:10.1007/BF00382040

On the stability of a flexibly mounted rotating cylinder partially filled with liquid

M. Kuipers

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

28 Citations (Scopus)

Abstract

An investigation is made into the unstable behaviour of a rotor which is flexibly mounted with some damping and which is forced to rotate around its axis of symmetry with a constant angular velocity. The rotor is assumed to be partially filled with an ideal liquid. Assuming relative liquid motion in two dimensions a perturbation theory leads to an algebraic equation of the fourth degree from which information can be derived about unstable regions and the effect of the combined action of dissipative and gyroscopic forces.

Original language	English
Pages (from-to)	121-137
Number of pages	17
Journal	Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/BF00382040
Publication status	Published - 1964

Access to Document

10.1007/BF00382040

Fingerprint Dive into the research topics of 'On the stability of a flexibly mounted rotating cylinder partially filled with liquid'. Together they form a unique fingerprint.

Cite this

@article{ca422c8590e34533af62ec41c4454098,

title = "On the stability of a flexibly mounted rotating cylinder partially filled with liquid",

abstract = "An investigation is made into the unstable behaviour of a rotor which is flexibly mounted with some damping and which is forced to rotate around its axis of symmetry with a constant angular velocity. The rotor is assumed to be partially filled with an ideal liquid. Assuming relative liquid motion in two dimensions a perturbation theory leads to an algebraic equation of the fourth degree from which information can be derived about unstable regions and the effect of the combined action of dissipative and gyroscopic forces.",

author = "M. Kuipers",

year = "1964",

doi = "10.1007/BF00382040",

language = "English",

volume = "13",

pages = "121--137",

journal = "Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods",

issn = "0365-7132",

number = "1",

}

TY - JOUR

T1 - On the stability of a flexibly mounted rotating cylinder partially filled with liquid

AU - Kuipers, M.

PY - 1964

Y1 - 1964

N2 - An investigation is made into the unstable behaviour of a rotor which is flexibly mounted with some damping and which is forced to rotate around its axis of symmetry with a constant angular velocity. The rotor is assumed to be partially filled with an ideal liquid. Assuming relative liquid motion in two dimensions a perturbation theory leads to an algebraic equation of the fourth degree from which information can be derived about unstable regions and the effect of the combined action of dissipative and gyroscopic forces.

AB - An investigation is made into the unstable behaviour of a rotor which is flexibly mounted with some damping and which is forced to rotate around its axis of symmetry with a constant angular velocity. The rotor is assumed to be partially filled with an ideal liquid. Assuming relative liquid motion in two dimensions a perturbation theory leads to an algebraic equation of the fourth degree from which information can be derived about unstable regions and the effect of the combined action of dissipative and gyroscopic forces.

U2 - 10.1007/BF00382040

DO - 10.1007/BF00382040

M3 - Article

VL - 13

SP - 121

EP - 137

JO - Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods

JF - Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods

SN - 0365-7132

IS - 1

ER -