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Nonlinear vibrations of cantilever b...

Malatkar, Pramod.

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Nonlinear vibrations of cantilever beams and plates.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear vibrations of cantilever beams and plates./
Author:	Malatkar, Pramod.
Description:	132 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1790.
Contained By:	Dissertation Abstracts International64-04B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3089085
ISBN:	0496368230

Nonlinear vibrations of cantilever beams and plates.
Malatkar, Pramod.

Nonlinear vibrations of cantilever beams and plates. - 132 p.

Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1790.

Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2003.

A study of the nonlinear vibrations of metallic cantilever beams and plates subjected to transverse harmonic excitations is presented. Both experimental and theoretical results are presented. The primary focus is however on the transfer of energy between widely spaced modes via modulation. This phenomenon is studied both in the presence and absence of a one-to-one internal resonance. Reduced-order models using Galerkin discretization are also developed to predict experimentally observed motions. A good qualitative agreement is obtained between the experimental and numerical results.

ISBN: 0496368230Subjects--Topical Terms:

1018410
Applied Mechanics.

Nonlinear vibrations of cantilever beams and plates.
LDR:03085nmm 2200301 4500 001 1836511
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008 130614s2003 eng d
020 $a 0496368230
035 $a (UnM)AAI3089085
035 $a AAI3089085
040 $a UnM $c UnM
100 1 $a Malatkar, Pramod. $3 1924989
245 1 0 $a Nonlinear vibrations of cantilever beams and plates.
300 $a 132 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1790.
500 $a Chair: Ali H. Nayfeh.
502 $a Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2003.
520 $a A study of the nonlinear vibrations of metallic cantilever beams and plates subjected to transverse harmonic excitations is presented. Both experimental and theoretical results are presented. The primary focus is however on the transfer of energy between widely spaced modes via modulation. This phenomenon is studied both in the presence and absence of a one-to-one internal resonance. Reduced-order models using Galerkin discretization are also developed to predict experimentally observed motions. A good qualitative agreement is obtained between the experimental and numerical results.
520 $a Experimentally the energy transfer between widely spaced modes is found to be a function of the closeness of the modulation frequency to the natural frequency of the first mode. The modulation frequency, which depends on various parameters like the amplitude and frequency of excitation, damping factors, etc., has to be near the natural frequency of the low-frequency mode for significant transfer of energy from the directly excited high-frequency mode to the low-frequency mode.
520 $a An experimental parametric identification technique is developed for estimating the linear and nonlinear damping coefficients and effective nonlinearity of a metallic cantilever beam. This method is applicable to any single-degree-of-freedom nonlinear system with weak cubic geometric and inertia nonlinearities. In addition, two methods, based on the elimination theory of polynomials, are proposed for determining both the critical forcing amplitude as well as the jump frequencies in the case of single-degree-of-freedom nonlinear systems.
520 $a An experimental study of the response of a rectangular, aluminum cantilever plate to transverse harmonic excitations is also conducted. Various nonlinear dynamic phenomena, like two-to-one and three-to-one internal resonances, external combination resonance, energy transfer between widely spaced modes via modulation, period-doubled motions, and chaos, are demonstrated using a single plate. It is again shown that the closeness of the modulation frequency to the natural frequency of the first mode dictates the energy transfer between widely spaced modes.
590 $a School code: 0247.
650 4 $a Applied Mechanics. $3 1018410
690 $a 0346
710 2 0 $a Virginia Polytechnic Institute and State University. $3 1017496
773 0 $t Dissertation Abstracts International $g 64-04B.
790 1 0 $a Nayfeh, Ali H., $e advisor
790 $a 0247
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3089085