1700986327
1700986328
将ω2(1)=k/m代入(7.52)式,可得
1700986329
1700986330
1700986331
1700986332
1700986333
解得
1700986334
1700986335
1700986336
1700986337
1700986338
(7.50)式中系数b21,b22,b23的求解:
1700986339
1700986340
将ω2(2)=(2m+M)k/mM代入类(7.52)式(即以b21,b22,b23分别替换b11,b12,b13),可得
1700986341
1700986342
1700986343
1700986344
1700986345
解得
1700986346
1700986347
b21, b22=-2b21, b23=b21.
1700986348
1700986349
(7.50)式中系数b31,b32,b33的求解:
1700986350
1700986351
将ω2(3)=0代入类(7.52)式(即以b31,b32,b33分别替换b11,b12,b13),可得
1700986352
1700986353
1700986354
1700986355
1700986356
解得
1700986357
1700986358
1700986359
1700986360
1700986361
(7.50)式中系数x1,x2,x3的求解:
1700986362
1700986363
将上述解得的系数b11,b12,…,b32,b33代入(7.50)式,可得
1700986364
1700986365
1700986366
1700986367
1700986368
解得
1700986369
1700986370
1700986371
1700986372
1700986373
由(7.51)式给出的ξ1,ξ2,ξ3通解为
1700986374
1700986375
1700986376
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