𝔖 Bobbio Scriptorium
✦   LIBER   ✦

VIBRATIONS OF AN AXIALLY MOVING BEAM WITH TIME-DEPENDENT VELOCITY

✍ Scribed by H.R. ÖZ; M. PAKDEMİRLİ

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
347 KB
Volume
227
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The dynamic response of an axially accelerating, elastic, tensioned beam is investigated. The time-dependent velocity is assumed to vary harmonically about a constant mean velocity. These systems experience a coriolis acceleration component which renders such systems gyroscopic. The equation of motion is solved by using perturbation analysis. Principal parametric resonances and combination resonances are investigated in detail. Stability boundaries are determined analytically. It is found that instabilities occur when the frequency of velocity #uctuations is close to two times the natural frequency of the constant velocity system or when the frequency is close to the sum of any two natural frequencies. When the velocity variation frequency is close to zero or to the di!erence of two natural frequencies, however, no instabilities are detected up to the "rst order of perturbation. Numerical results are presented for di!erent #exural sti!ness values and for the "rst two modes.

📜 SIMILAR VOLUMES

VIBRATIONS OF AN AXIALLY ACCELERATING BE
VIBRATIONS OF AN AXIALLY ACCELERATING BEAM WITH SMALL FLEXURAL STIFFNESS
✍ E. ÖZKAYA; M. PAKDEMİRLİ 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 163 KB

Transverse vibrations of an axially moving beam are considered. The axial velocity is harmonically varying about a mean velocity. The equation of motion is expressed in terms of dimensionless quantities. The beam e!ects are assumed to be small. Since, in this case, the fourth order spatial derivativ

TRANSVERSE VIBRATIONS OF TENSIONED PIPES
TRANSVERSE VIBRATIONS OF TENSIONED PIPES CONVEYING FLUID WITH TIME-DEPENDENT VELOCITY
✍ HALIL RIDVAN ÖZ; HAKAN BOYACI 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 344 KB

In this study, the transverse vibrations of highly tensioned pipes with vanishing #exural sti!ness and conveying #uid with time-dependent velocity are investigated. Two di!erent cases, the pipes with "xed}"xed end and "xed}sliding end conditions are considered. The time-dependent velocity is assumed

ACTIVE AND PASSIVE VIBRATION CONTROL OF
ACTIVE AND PASSIVE VIBRATION CONTROL OF AN AXIALLY MOVING BEAM BY SMART HYBRID BEARINGS
✍ Y.K. Wang; C.D. Mote; Jr 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 234 KB

A model is proposed that describes the response of a smart hybrid bearing pair coupled to a flexible axially moving beam. Exact, explicit, closed form determination of the bearing force generated is derived. The maximum axial velocity of the beam for stable response of the coupled system, and the da

INSTABILITY OF VIBRATIONS OF A MASS MOVI
INSTABILITY OF VIBRATIONS OF A MASS MOVING UNIFORMLY ALONG AN AXIALLY COMPRESSED BEAM ON A VISCOELASTIC FOUNDATION
✍ A.V. Metrikine; H.A. Dieterman 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 191 KB

The uniform motion of a mass along an axially compressed Euler-Bernoulli beam on a viscoelastic foundation is investigated. It is assumed that the mass is subjected to a constant vertical load and that the beam and mass are in continuous contact. The velocity of the mass after which the vibrations o

NON-LINEARLY DYNAMIC MODELLING OF AN AXI
NON-LINEARLY DYNAMIC MODELLING OF AN AXIALLY MOVING BEAM WITH A TIP MASS
✍ R.-F. Fung; P.-Y. Lu; C.-C. Tseng 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 222 KB

In this paper, the equations of motion for a deploying beam with a tip mass are derived by using Hamilton's principle. In the dynamic formulations, the beam is divided into two parts. One part of the beam is outside the rigid support and is free to vibrate, while the remaining part is inside the sup