tablice_dynamika.pdf

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tablice funkcji dynamika.xls
Tablice funkcji występujących we wzorach transformacyjnych drgań harmonicznych belek
λ (λ) β(λ) υ(λ) δ(λ) γ(λ) ε(λ) α'(λ) υ'(λ) δ'(λ)
0,0
4,000
2,000
6,000
6,000 12,000 12,000 3,000
3,000
3,000
0,1
4,000
2,000
6,000
6,000
12,000
12,000
3,000
3,000
3,000
0,2
4,000
2,000
6,000
6,000
11,999
12,000
3,000
3,000
3,000
0,3
4,000
2,000
6,000
6,000
11,997
12,001
3,000
2,999
3,000
0,4
4,000
2,000
5,999
6,001
11,990
12,003
3,000
2,998
3,001
0,5
3,999
2,000
5,997
6,002 11,977 12,008 2,999
2,995
3,002
0,6
3,999
2,001
5,993
6,004
11,952
12,017
2,998
2,989
3,005
0,7
3,998
2,002
5,987
6,007
11,911
12,031
2,995
2,979
3,009
0,8
3,996
2,003
5,979
6,013
11,848
12,053
2,992
2,965
3,016
0,9
3,994
2,005
5,966
6,020
11,756
12,084
2,987
2,944
3,026
1,0
3,990
2,007
5,948
6,031 11,628 12,129 2,981
2,914
3,039
1,1
3,986
2,010
5,923
6,045
11,455
12,189
2,972
2,874
3,058
1,2
3,980
2,015
5,891
6,064
11,228
12,268
2,960
2,821
3,082
1,3
3,973
2,021
5,850
6,089
10,936
12,370
2,945
2,753
3,114
1,4
3,963
2,028
5,798
6,120
10,568
12,499
2,926
2,666
3,154
1,5
3,951
2,037
5,733
6,159 10,110 12,659 2,902
2,559
3,204
1,5708
3,941
2,044
5,678
6,191
9,725
12,795
2,881
2,467
3,246
1,6
3,937
2,047
5,653
6,206
9,550
12,857
2,872
2,426
3,266
1,7
3,919
2,061
5,557
6,264
8,872
13,097
2,836
2,264
3,342
1,8
3,898
2,077
5,442
6,333
8,060
13,387
2,792
2,068
3,434
1,8751
1,9
3,873
2,096
5,304
6,416
7,096
13,733
2,739
1,832
3,546
2,0
3,843
2,118
5,142
6,514
5,961 14,144 2,676
1,551
3,680
2,1
3,808
2,145
4,951
6,630
4,633
14,630
2,600
1,217
3,842
2,2
3,768
2,176
4,729
6,767
3,089
15,202
2,510
0,820
4,035
2,3
3,720
2,213
4,471
6,926
1,304
15,872
2,404
0,351
4,267
2,3650
0,000
0,000
2,4
3,665
2,256
4,172
7,112
-0,752
16,655
2,277
-0,205
4,545
2,5
3,601
2,305
3,827
7,329 -3,110 17,569 2,126 -0,864 4,879
2,6
3,527
2,363
3,431
7,581
-5,808
18,636
1,945
-1,647
5,283
2,7
3,443
2,429
2,975
7,874
-8,886
19,879
1,728
-2,581
5,774
2,8
3,345
2,507
2,452
8,214
-12,392
21,329
1,466
-3,705
6,377
2,9
3,232
2,597
1,851
8,611
-16,381
23,025
1,145
-5,069
7,124
3,0
3,102
2,702
1,160
9,074 -20,919 25,011 0,748 -6,745 8,064
3,1
2,951
2,824
0,365
9,617
-26,083
27,346
0,248
-8,839
9,267
3,1416
2,881
2,881
0,000
9,870
-28,437
28,437
0,000
-9,870
9,870
3,2
2,776
2,968
-0,552
10,255
-31,969
30,105
-0,398
-11,516
10,845
3,3
2,572
3,138
-1,614
11,009
-38,694
33,381
-1,255
-15,044
12,978
3,4
2,333
3,339
-2,852
11,907
-46,405
37,299
-2,445
-19,892
15,988
3,5
2,050
3,579 -4,303 12,984 -55,294 42,024 -4,197 -26,967 20,495
3,6
1,714
3,870
-6,019
14,290
-65,614
47,783
-7,024
-38,286
27,881
3,7
1,308
4,225
-8,072
15,892
-77,708
54,890
-12,344
-59,420
41,972
3,8
0,811
4,667
-10,562
17,890
-92,059
63,799
-26,052
-113,535
78,682
3,9
0,191
5,226
-13,638
20,429
-109,374
75,182
-142,666
-572,064
393,229
3,9266 0,000
4,0 -0,600 5,952 -17,531 23,734 -130,734 90,087 58,403 217,768 -150,060
4,1 -1,644 6,923 -22,613 28,176 -157,892 110,228 27,510 96,045 -67,051
4,2 -3,080 8,280 -29,539 34,406 -193,907 138,624 19,180 62,953 -45,005
4,3 -5,180 10,294 -39,571 43,678 -244,657 181,107 15,278 47,230 -34,962
4,4 -8,543 13,563 -55,494 58,774 -323,105 250,594 12,992 37,822 -29,334
4,5 -14,808 19,727 -84,932 87,313 -464,705 382,487 11,471 31,381 -25,829
4,6
-30,662
35,469
-158,953
160,356
-813,859
721,127
10,368
26,543
-23,519
4,694
4,7 -151,791 156,477 -722,247 722,584 -3437,178 3333,066 9,516 22,644 -21,958
4,7124 -262,308 266,978 -1235,895 1236,095 -5824,960 5719,374 9,423 22,207 -21,804
4,73 21,599 -21,598
4,8 73,219 -68,666 323,034 -323,855 1414,578 -1531,009 8,824 19,320 -20,910
4,9 33,375 -28,966 137,432 -139,513 545,647 -675,414 8,236 16,349 -20,237
5,0 22,994 -18,743 88,720 -92,175 312,417 -456,623 7,717 13,587 -19,858
5,1 18,178 -14,099 65,827 -70,780 198,682 -358,527 7,243 10,930 -19,723
5,2 15,367 -11,477 52,214 -58,800 127,540 -304,336 6,796 8,300 -19,805
5,3 13,500 -9,816 42,942 -51,313 76,004 -271,188 6,362 5,630 -20,089
5,4 12,147 -8,691 36,015 -46,340 34,756 -249,910 5,930 2,861 -20,573
5,5 11,104 -7,897 30,467 -42,934 -0,738 -236,133 5,488 -0,066 -21,266
5,6
10,256
-7,324
25,770
-40,590
-32,984
-227,542
5,026
-3,216
-22,187
5,7
9,537
-6,909
21,607
-39,019
-63,521
-222,828
4,531
-6,661
-23,365
5,8
8,904
-6,613
17,771
-38,045
-93,378
-221,225
3,992
-10,487
-24,846
5,9
8,327
-6,412
14,115
-37,563
-123,314
-222,294
3,390
-14,808
-26,694
6,0
7,786 -6,290 10,530 -37,509 -153,935 -225,812 2,705 -19,770 -29,002
6,1
7,263
-6,237
6,925
-37,849
-185,775
-231,709
1,907
-25,578
-31,902
6,2
6,744
-6,249
3,218
-38,574
-219,348
-240,050
0,954
-32,523
-35,593
6,2832
6,307
-6,307
0,000
-39,478
-248,978
-248,978
0,000
-39,478
-39,478
696178882.001.png 696178882.002.png
Tablice funkcji występujących we wzorach transformacyjnych drgań harmonicznych belek
λ γ'(λ) ε'(λ) χ'(λ) α''(λ) υ''(λ) γ''(λ) γ'''(λ) ε'''(λ)
0,0
3,000
3,000
3,000
0,000
0,000
0,000
0,000
0,000
0,1
3,000
3,000
3,000
0,000
0,000
0,000
0,000
0,000
0,2
2,999
3,000
3,000
-0,001
-0,001
-0,002
-0,001
0,000
0,3
2,996
3,001
2,998
-0,003
-0,004
-0,008
-0,003
0,001
0,4
2,988
3,004
2,994
-0,009
-0,013
-0,026
-0,009
0,004
0,5
2,970
3,009
2,985 -0,021 -0,031 -0,063 -0,021 0,010
0,6
2,937
3,018
2,969
-0,044
-0,065
-0,130
-0,043
0,022
0,7
2,883
3,033
2,943
-0,082
-0,122
-0,243
-0,080
0,040
0,8
2,801
3,057
2,903
-0,141
-0,211
-0,418
-0,137
0,069
0,9
2,681
3,092
2,845
-0,231
-0,344
-0,679
-0,220
0,110
1,0
2,513
3,140
2,764 -0,362 -0,539 -1,054 -0,335 0,169
1,1
2,286
3,206
2,654
-0,552
-0,820
-1,586
-0,493
0,248
1,2
1,988
3,292
2,509
-0,826
-1,223
-2,332
-0,700
0,355
1,3
1,603
3,404
2,322
-1,230
-1,811
-3,386
-0,970
0,493
1,4
1,117
3,546
2,086
-1,841
-2,693
-4,910
-1,313
0,672
1,5
0,512
3,724
1,793 -2,824 -4,097 -7,225 -1,745 0,899
1,5708
0,000
3,876
1,545
-3,941
-5,678
-9,725
-2,113
1,096
1,6
-0,233
3,945
1,432
-4,578
-6,574
-11,104
-2,282
1,187
1,7
-1,138
4,216
0,993
-8,414
-11,929
-19,045
-2,945
1,549
1,8
-2,229
4,546
0,464
-22,622
-31,579
-46,774
-3,760
2,003
1,8751
0,000
1,9
-3,533
4,947
-0,168
77,704
106,413
142,364
-4,758
2,575
2,0
-5,081 5,429 -0,918 17,433 23,322 27,038 -5,980 3,296
2,1
-6,910
6,010
-1,804
10,782
14,017
13,117
-7,480
4,213
2,2
-9,064
6,709
-2,846
8,231
10,331
6,750
-9,332
5,391
2,3
-11,591
7,548
-4,069
6,878
8,266
2,411
-11,643
6,926
2,3650
0,001
2,4
-14,554
8,559
-5,501
6,031
6,866
-1,237
-14,572
8,968
2,5 -18,026 9,780 -7,178 5,442
5,784 -4,700 -18,377 11,763
2,6
-22,100
11,263
-9,145
4,997
4,860
-8,228
-23,493
15,735
2,7
-26,894
13,075
-11,457
4,639
4,008
-11,973
-30,749
21,699
2,8
-32,566
15,308
-14,189
4,332
3,175
-16,050
-41,930
31,425
2,9
-39,325
18,094
-17,441
4,055
2,322
-20,555
-61,758
49,624
3,0 -47,468 21,617 -21,353 3,793
1,419 -25,585 -108,273 94,316
3,1
-57,425
26,156
-26,128
3,535
0,438
-31,242
-372,878
356,887
3,1416 -62,245 28,437 -28,437 3,425 0,000 -33,807
3,2 -69,852 32,143 -32,079 3,269 -0,650 -37,644 263,755 -282,010
3,3 -85,816 40,291 -39,707 2,987 -1,875 -44,932 94,464 -115,235
3,4 -107,175 51,855 -49,892 2,678 -3,275 -53,280 54,654 -78,217
3,5 -137,510 69,272 -64,325 2,333 -4,896 -62,911 35,753 -62,409
3,6
-184,761
97,972
-86,755
1,936
-6,800
-74,123
23,911
-53,992
3,7
-270,839
152,982
-127,529
1,470
-9,071
-87,324
15,182
-49,054
3,8
-486,792
296,835
-229,635
0,908
-11,828
-103,092
8,004
-46,069
3,9
-2292,246 1532,449 -1082,232
0,214
-15,249
-122,288
1,622
-44,326
3,9266 0,000 0,000
4,0 807,612 -602,990 381,184 -0,672 -19,611 -146,251 -4,383 -43,456
4,1 325,041 -277,346 153,152 -1,845 -25,379 -177,209 -10,272 -43,256
4,2 190,401 -191,329 89,378 -3,481 -33,388 -219,171 -16,223 -43,614
4,3 123,629 -152,551 57,630 -5,932 -45,318 -280,186 -22,377 -44,470
4,4 81,258 -131,202 37,383 -10,026 -65,130 -379,208 -28,849 -45,804
4,5 50,102 -118,284 22,411 -18,297 -104,942 -574,192 -35,749 -47,622
4,6
24,766
-110,164
10,164
-44,054
-228,376 -1169,312
-43,185
-49,956
4,694 0,009
4,7 2,605 -105,110 -0,610 800,192 3807,445 18119,664 -51,277 -52,860
4,7124 0,000 -104,646 -1,880 262,308 1235,895 5824,960 -52,332 -53,263
4,73 -53,852 -53,854
4,8 -17,859 -102,202 -10,609 50,035 220,749 966,670 -60,160 -56,419
4,9 -37,543 -100,925 -20,270 28,439 117,108 464,954 -69,998 -60,751
5,0 -57,072 -100,983 -29,892 20,909 80,673 284,081 -80,994 -66,019
5,1 -76,914 -102,214 -39,698 17,042 61,713 186,264 -93,409 -72,449
5,2 -97,456 -104,542 -49,875 14,660 49,812 121,672 -107,592 -80,354
5,3 -119,043 -107,961 -60,594 13,022 41,423 73,315 -124,026 -90,184
5,4 -142,019 -112,522 -72,020 11,806 35,004 33,781 -143,400 -102,595
5,5 -166,746 -118,329 -84,335 10,850 29,772 -0,721 -166,747 -118,586
5,6 -193,632 -125,549 -97,739 10,062 25,283 -32,361 -195,690 -139,748
5,7 -223,163 -134,423 -112,476 9,385 21,264 -62,510 -232,954 -168,767
5,8 -255,944 -145,291 -128,847 8,783 17,530 -92,110 -283,497 -210,568
5,9 -292,751 -158,623 -147,240 8,230 13,950 -121,866 -357,434 -275,224
6,0 -334,626 -175,083 -168,177 7,706 10,422 -152,353 -479,127 -387,057
6,1
-383,009
-195,622
-192,378
7,197
6,862
-184,088
-726,085
-623,527
6,2
-439,975
-221,644
-220,884
6,690
3,192
-217,569 -1548,372 -1434,650
6,2832
-496,104
-248,978
-248,978
6,260
0,000
-247,126
696178882.003.png
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