𝔖 Bobbio Scriptorium
✦   LIBER   ✦

NORMAL MODES OF A NON-LINEAR CLAMPED–CLAMPED BEAM

✍ Scribed by W.C. XIE; H.P. LEE; S.P. LIM


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
156 KB
Volume
250
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis


Non-linear modal analysis approach based on invariant manifold method proposed earlier by Shaw and Pierre (Journal of Sound and <ibration 164, 85}124) is utilized here to obtain the non-linear normal modes of a clamped}clamped beam for large amplitude displacements. The results obtained for the fundamental normal mode are compared with the corresponding reported experimental and theoretical studies. The e!ects of modal coupling are examined in greater detail. The limitation of the present method for analyzing non-linear behavior is highlighted.

2002 Academic Press


📜 SIMILAR VOLUMES


AN EXPERIMENTALLY VERIFIED NON-LINEAR DA
✍ M. Ghanbari; J.F. Dunne 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 485 KB

An empirical non-linear damping model, for use with single-degree-of-freedom clamped-clamped beam vibrations driven by band-limited white noise, is calibrated by using large amplitude experimental measurements. To verify the model, two parameter estimation methods are initially tested on simulated d

Clamped-clamped Natural Frequencies Of A
✍ J.R. Banerjee; F.W. Williams 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 190 KB

An elegant and accurate method for determining the number of clamped-clamped natural frequencies of a bending-torsion coupled beam which lie below a specified frequency is presented. The method facilitates an easy and straightforward application of the WittrickWilliams algorithm when finding natural

NORMAL MULTI-MODES OF NON-LINEAR EULER B
✍ A.Y.T. Leung; T. Ge 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 468 KB

For a strongly non-linear multi-degree-of-freedom system, in general, one cannot consider one mode at a time as in linear modal analysis. In the absence of external excitation, the natural vibration often involves more than one mode at a time resulting in quasi-periodic or multi-periodic (toroidal)

NON-LINEAR VIBRATION CHARACTERISTICS OF
✍ A. ABE; Y. KOBAYASHI; G. YAMADA 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 259 KB

This paper examines non-linear free vibration characteristics of "rst and second vibration modes of laminated shallow shells with rigidly clamped edges. Non-linear equations of motion for the shells based on the "rst order shear deformation and classical shell theories are derived by means of Hamilt

IMPROVEMENT OF THE SEMI-ANALYTICAL METHO
✍ M. EL KADIRI; R. BENAMAR; R.G. WHITE 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 497 KB

In a previous series of papers (Benamar 1990 Ph.D. ¹hesis, ;niversity of Southampton; Benamar et al. 1991 Journal of Sound and <ibration 149, 179}195; 164, 399}424 [1}3]) a general model based on Hamilton's principle and spectral analysis has been developed for non-linear free vibrations occurring a