中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120201-120201.doi: 10.1088/1674-1056/19/12/120201
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黄俊杰1, 阿拉坦仓1, 王华2
Huang Jun-Jie(黄俊杰)a),Alatancang(阿拉坦仓)a), and Wang Hua(王华)a)b)†
摘要: This paper deals with off-diagonal operator matrices and their applications in elasticity theory. Two kinds of completeness of the system of eigenvectors are proven, in terms of those of the compositions of two block operators in the off-diagonal operator matrices. Using these results, the double eigenfunction expansion method for solving upper triangular matrix differential systems is proposed. Moreover, we apply the method to the two-dimensional elasticity problem and the problem of bending of rectangular thin plates on elastic foundation.
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