Convergence of Boobnov-Galerkin method exemplified

被引：6
作者：
Elishakoff, I
Zingales, M
机构：
[1] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA
[2] Univ Palermo, Dipartimento Ingn Strutturale & Geotecn, I-90128 Palermo, Italy
来源：
AIAA JOURNAL | 2004年 / 42卷 / 09期
关键词：
D O I：
10.2514/1.898
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
The use of Boobnov-Galerkin methods in the fields of mechanical sciences as an approximate method to solve boundary value problems were discussed. The interrelation of boobnov-Galerkin method and the exact solution in the beam deflection problems was also discussed. It was observed that for the conservative systems, the Boobnov-Galerkin's method and Rayleigh-Ritz method coincided. The results show that the preceeding derivation also proved coincidence of the Rayleigh-Ritz and the closed-form solutions.
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页码：1931 / 1933
页数：3
相关论文
共 14 条
[1]  
[Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury
[2]  
[Anonymous], 1956, ANAL STRUCTURES
[3]  
DUNCAN WJ, 1937, 1798 AER RES COUNC
[4]  
DUNCAN WJ, 1938, 1894 AER RES COUNC
[5]  
ELISHAKOFF I, 1986, J SOUND VIBRATION, V119, P174
[6]  
Filonenko-Borodich M., 1946, Prikl. Mat. Mekh, V10, P193
[7]  
ISHLINSKI AJ, 1975, ADV MECH DEFORMABLE
[8]  
Kantorovich L, 1958, Approximate method of higher analysis
[9]  
Leipholz H.H.E., 1976, SHOCK VIB DIG, V8, P3, DOI [10.1177/058310247600800203, DOI 10.1177/058310247600800203]
[10]  
Mikhlin S. G., 1964, Integral equations
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