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Sturm-Liouville extensions: Applicat...

Rosen, Oren.

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Sturm-Liouville extensions: Applications in plate vibration.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sturm-Liouville extensions: Applications in plate vibration./
Author:	Rosen, Oren.
Description:	116 p.
Notes:	Source: Dissertation Abstracts International, Volume: 67-05, Section: B, page: 2595.
Contained By:	Dissertation Abstracts International67-05B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3219650
ISBN:	9780542706042

Sturm-Liouville extensions: Applications in plate vibration.
Rosen, Oren.

Sturm-Liouville extensions: Applications in plate vibration. - 116 p.

Source: Dissertation Abstracts International, Volume: 67-05, Section: B, page: 2595.

Thesis (Ph.D.)--University of California, Santa Cruz, 2006.

In this thesis a differential equation model is developed for impact excitation of an annular plate. The dynamic response of the plate is linearly coupled with a lumped model for the excitation device. It is shown that the frequency response of the plate during contact is significantly richer than the corresponding initial value problem. The derivation requires establishing orthogonality of eigenfunctions of the Bi-Laplacian operator. This is accomplished by extending the classical theory of Regular Sturm-Liouville equations. An algebraic test on the boundary condition coefficients is derived that guarantees that the generalized operator commutes within the inner product on its domain.

ISBN: 9780542706042Subjects--Topical Terms:

515831
Mathematics.

Sturm-Liouville extensions: Applications in plate vibration.
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100 1 $a Rosen, Oren. $3 1919455
245 1 0 $a Sturm-Liouville extensions: Applications in plate vibration.
300 $a 116 p.
500 $a Source: Dissertation Abstracts International, Volume: 67-05, Section: B, page: 2595.
500 $a Adviser: Maria Schonbek.
502 $a Thesis (Ph.D.)--University of California, Santa Cruz, 2006.
520 $a In this thesis a differential equation model is developed for impact excitation of an annular plate. The dynamic response of the plate is linearly coupled with a lumped model for the excitation device. It is shown that the frequency response of the plate during contact is significantly richer than the corresponding initial value problem. The derivation requires establishing orthogonality of eigenfunctions of the Bi-Laplacian operator. This is accomplished by extending the classical theory of Regular Sturm-Liouville equations. An algebraic test on the boundary condition coefficients is derived that guarantees that the generalized operator commutes within the inner product on its domain.
590 $a School code: 0036.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Acoustics. $3 1019086
690 $a 0405
690 $a 0986
710 2 0 $a University of California, Santa Cruz. $3 1018764
773 0 $t Dissertation Abstracts International $g 67-05B.
790 1 0 $a Schonbek, Maria, $e advisor
790 $a 0036
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3219650