𝔖 Bobbio Scriptorium
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COMMENTS ON “VIBRATION OF NON-UNIFORM RODS AND BEAMS”

✍ Scribed by S. Naguleswaran

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
331 KB
Volume
195
Category
Article
ISSN
0022-460X

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📜 SIMILAR VOLUMES

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
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
✍ 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