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A Fourier series method for polygona...

Kang, Long-Chyuan.

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A Fourier series method for polygonal domains; large element computation for plates.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A Fourier series method for polygonal domains; large element computation for plates./
Author:	Kang, Long-Chyuan.
Description:	159 p.
Notes:	Source: Dissertation Abstracts International, Volume: 53-03, Section: B, page: 1453.
Contained By:	Dissertation Abstracts International53-03B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9221632

A Fourier series method for polygonal domains; large element computation for plates.
Kang, Long-Chyuan.

A Fourier series method for polygonal domains; large element computation for plates. - 159 p.

Source: Dissertation Abstracts International, Volume: 53-03, Section: B, page: 1453.

Thesis (Ph.D.)--Stanford University, 1992.

In this study, we develop an efficient approach using the Fourier series for boundary value problems on polygonal domains. The method is applied to: (a) a reduced wave equation and the potential problems, (b) the classical plate bending problems and (c) the bending problems of elastic plates considering transverse shear.Subjects--Topical Terms:

1018410
Applied Mechanics.

A Fourier series method for polygonal domains; large element computation for plates.
LDR:02069nmm 2200301 4500 001 1857715
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008 130614s1992 eng d
035 $a (UnM)AAI9221632
035 $a AAI9221632
040 $a UnM $c UnM
100 1 $a Kang, Long-Chyuan. $3 1945428
245 1 0 $a A Fourier series method for polygonal domains; large element computation for plates.
300 $a 159 p.
500 $a Source: Dissertation Abstracts International, Volume: 53-03, Section: B, page: 1453.
500 $a Adviser: Charles R. Steele.
502 $a Thesis (Ph.D.)--Stanford University, 1992.
520 $a In this study, we develop an efficient approach using the Fourier series for boundary value problems on polygonal domains. The method is applied to: (a) a reduced wave equation and the potential problems, (b) the classical plate bending problems and (c) the bending problems of elastic plates considering transverse shear.
520 $a For a problem with convex domain, which is treated as a large element, the Levy-type solution for an infinite strip can be obtained first. Then the problem can be solved by superimposing the solution functions and matching the Fourier harmonics of the prescribed boundary conditions. For a non-convex domain, we can cut it into a few convex elements and use the continuity condition to connect the elements together. Since the number of elements is much smaller than that of most existing methods, time is saved in both setting up the input data and solving the problem.
520 $a To demonstrate its accuracy and effectiveness, several examples are presented and compared with the available results. These include a heat conduction problem, a mode III crack problem, a plate bending problem and the bending problem of a stiffened plate.
590 $a School code: 0212.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Engineering, Aerospace. $3 1018395
690 $a 0346
690 $a 0548
690 $a 0538
710 2 0 $a Stanford University. $3 754827
773 0 $t Dissertation Abstracts International $g 53-03B.
790 1 0 $a Steele, Charles R., $e advisor
790 $a 0212
791 $a Ph.D.
792 $a 1992
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9221632