✦ LIBER ✦

Free longitudinal vibrations of non-uniform rods

✍ Scribed by ShuQi Guo; ShaoPu Yang

Book ID: 107357106
Publisher: SP Science China Press
Year: 2011
Tongue: English
Weight: 651 KB
Volume: 54
Category: Article
ISSN: 1006-9321
DOI: 10.1007/s11431-011-4534-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

EXACT SOLUTIONS FOR FREE LONGITUDINAL VI

EXACT SOLUTIONS FOR FREE LONGITUDINAL VIBRATIONS OF NON-UNIFORM RODS

✍ Q.S. LI 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 194 KB

An exact approach for free longitudinal vibrations of one-step non-uniform rods with classical and non-classical boundary conditions is presented. In this paper, the expression for describing the distribution of mass is arbitrary, and the distribution of longitudinal sti!ness is expressed as a funct

EXACT SOLUTIONS FOR THE LONGITUDINAL VIB

EXACT SOLUTIONS FOR THE LONGITUDINAL VIBRATION OF NON-UNIFORM RODS

✍ B.M. Kumar; R.I. Sujith 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 151 KB

The objective of this paper is to present exact analytical solutions for the longitudinal vibration of rods with non-uniform cross-section. Using appropriate transformations, the equation of motion of axial vibration of a rod with varying cross-section is reduced to analytically solvable standard di

COMMENTS ON VIBRATIONS OF NON-UNIFORM BE

COMMENTS ON VIBRATIONS OF NON-UNIFORM BEAMS AND RODS

✍ H.P.W. Gottlieb 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 217 KB

Abrate [1] has recently produced a neat extension of the transformation trick which yielded a non-uniform rod with uniform rod vibration spectrum for fixed ends, to a case of a non-uniform clamped beam with uniform beam spectrum. The latter, with quartic dependence on spatial co-ordinate for both it

Vibration of non-uniform rods and beams

✍ Serge Abrate 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 401 KB

We show that for some non-uniform rods and beams the equation of motion can be transformed into the equation of motion for a uniform rod or beam. Then, when the ends are completely fixed, the eigenvalues of the non-uniform continuum are the same as those of uniform rods or beams. For other end suppo

Exact solutions for the longitudinal vib

Exact solutions for the longitudinal vibration of non-uniform rods: Author's reply

✍ R.I. Sujith 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 81 KB

Longitudinal vibrations of component rod

Longitudinal vibrations of component rods

✍ V. N. Yakovkin 📂 Article 📅 1981 🏛 Springer 🌐 English ⚖ 447 KB