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Sturm-Liouville extensions: Applicat...

Rosen, Oren.

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Sturm-Liouville extensions: Applications in plate vibration.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Sturm-Liouville extensions: Applications in plate vibration./
作者:	Rosen, Oren.
面頁冊數:	116 p.
附註:	Source: Dissertation Abstracts International, Volume: 67-05, Section: B, page: 2595.
Contained By:	Dissertation Abstracts International67-05B.
標題:	Mathematics. -
電子資源:	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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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.
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