Page 171 - 《振动工程学报》2026年第2期

第 2 期 高汝鑫，等：层合圆柱壳强迫振动分析的辛空间波方法 487

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附 录：
矩阵 H A 和 H B 的详细表达式如下：

κ 2 ∂ κ 4 ∂
 
 κ 2 
 0 0 
 
 
 Rκ 1 ∂θ Rκ 1 ∂θ 
 Rκ 1 
 
 1 ∂ 
 
 

 − 0 0 0 0  
 
 R ∂θ 
 
 
    （A1）
H A =  0 0 0 −1 0 
 
 
 
 κ 3 ∂ 
 κ 3 κ 5 ∂ 
 
 0 0 
 
 Rκ 1 ∂θ 
 Rκ 1 ∂θ 
 Rκ 1 
 
 1 ∂ 
 
 
0 0 0 − 0
 
R ∂θ
 
D 11 B 11
 
 0 0 − 0 
 
 
 
 κ 1 κ 1 
 
 
 D 66 B 66 
 
 0 − 0 0 
 
 
 
 κ 6 κ 6 
 
 
 −1 
   
H B =   0 0 0 0   （A2）
 
 
 k c A 55 
 
 
 B 11 A 11 
 
 0 0 0 
 − 
 
 
 κ 1 κ 1 
 
 
 
 B 66 A 66 
 
 0 0 0 − 
κ 6 κ 6
矩阵 H C 中的非零元素为：
H C,11 = I 0 ω 2 （A3）
H C,14 = H C,41 = I 1 ω 2 （A4）
A 22 κ 1 + A 12 κ 2 + B 12 κ 3 ∂ 2
k c A 44
2
H C,22 = −I 0 ω + − （A5）
R 2 R κ 1 ∂θ 2
2
(A 22 +k c A 44 )κ 1 + A 12 κ 2 + B 12 κ 3 ∂
H C,23 = H C,32 = − （A6）
2
R κ 1 ∂θ