Δυναμική Ανάλυση των Κατασκευών κατσικαβελης
8
....................................................................................................................................X : 1 …………………………………………..………………………...……….............. 1 ……..… 1 1.1 ………………………………………………………………….……………….. 1 1.2 ……………………………………………………….…………....... 4 1.3 ……………………………………………...…… 7 1.4 …………………………………………………………………………….…… 11 1.5 I H H D’ ALEMBERT ………………………….. 16 1.6 ………………….….. 44 1.7 HAMILTON ……………………………… 49 1.8 LAGRANGE …………………………………………………………………. 64 1.8.1 LAGRANGE …………………………………….……………………………. ……. 64 1.8.2 LAGRANGE ………………………………..………………………………. 72 1.8.3 …………………………………………………………….….….. 76 1.8.4 RAYLEIGH ……………………………………………... 81 1.9 ……………………………………....... 85 1.10 …………………………………………………………………………………. 87 2 ………………………………………………………………...……..……...…… 97 ………...……..…………. 97 2.1 …………………………………………………………...……….......………… 97 2.2 ……………...……….......………… 97 2.3 ……………...………...…..…………. 102 2.3.1 ……………...………...………………………...………...…………. 102 2.3.2 ……………...………...………………….……...………...…… 104
description
Περιεχόμενα
Transcript of Δυναμική Ανάλυση των Κατασκευών κατσικαβελης
....................................................................................................................................X
:
1 …………………………………………..………………………...……….............. 1……..… 1
1.1 ………………………………………………………………….……………….. 1 1.2 ……………………………………………………….…………....... 4 1.3 ……………………………………………...…… 7 1.4 …………………………………………………………………………….…… 11 1.5 I H H D’ ALEMBERT ………………………….. 16 1.6 ………………….….. 44 1.7 HAMILTON ……………………………… 49 1.8 LAGRANGE …………………………………………………………………. 64
1.8.1 LAGRANGE …………………………………….……………………………. ……. 641.8.2 LAGRANGE ………………………………..………………………………. 721.8.3 …………………………………………………………….….….. 761.8.4 RAYLEIGH ……………………………………………... 81
1.9 ……………………………………....... 85 1.10 …………………………………………………………………………………. 87
2 ………………………………………………………………...……..……...…… 97………...……..…………. 97
2.1 …………………………………………………………...……….......………… 97 2.2 ……………...……….......………… 97 2.3 ……………...………...…..…………. 102
2.3.1 ……………...………...………………………...………...…………. 102
2.3.2 ……………...………...………………….……...………...…… 104
VI
2.3.3 ……………...………...………………………...………...…… 106
2.4 E 108 2.5 110
3 …..…………………………………………………………............................... 115…….......…….... 115
3.1 …………………………………………………............................ 1153.1.1 ……………………………............................. 1153.1.2 ……………………………................................. 118
3.2 – DUHAMEL…………………........................ 1223.2.1 ………………….....................………..…………......... 1223.2.2 …………………................................................................. 124
3.3 DUHAMEL ………………….....................…………………......................................... 127
3.3.1 ………………….....................…………………............................... 1273.3.2 ………………….......................................................... 1283.3.3 “ ” ………………….....................…………………............................. 1313.3.4 ………………….....................…………………............................. 1333.3.5 …………………........................ 1343.3.6 ………………….................................. 136
3.4 DUHAMEL…….……. 1453.5 ………………….......................................................... 155
3.5.1 DIRAC…………………………………………………..………. 1553.5.2 ………………………………………………. 1593.5.3 …………………………………………..…………… 1623.5.4 ……………………………..…………….. 162
3.6 ………………………………………………………………………………… 164
4 ……………………………………………………………….……….………... 169.………………………... 169
4.1 ……………………………………………………………………................. 169 4.2 (M ) …………………......………… 170 4.3 ( )………………………………… 176 4.4 ( ) ………………………..…….. 184 4.5 ………………………………. 194
4.5.1 …………………………………………… 194
4.5.2 …………………………………………………………………… 194 4.5.3 …………………………..…………………… 198 4.5.4 ………………………………….. 201 4.5.5 ………………………………… 202
4.6 .................................................... 210
VII
4.7 ........................................................................................................................... 216
5 ………………………………………………………….…................................ 219.............................. 219
5.1 ………………………………………………………………………………. 2195.2 ……… 2205.3 …………………………………………………………………… 2325.4 ……………………………………………………………………………….. 247
6…………………………………………………………………………………... 253...................................………………………………......................... 253
6.1 ……………………………………………………………………………….. 2536.2 . ……………………………………. 2536.3 . ………………………………………. 2726.4 ……………………………………………………………. 279
6.4.1 …………………………………………………………. 2796.4.2 ……………………………………………………………... 280
6.5 ……………………………………………………………………………….. 284
7……………………………………………………………………………….…...289.................................................................................................................................. 289
7.1 ......................................................................................................................... 2897.2 .............................................................. 2907.3 ................................................................................ 2937.4 .............................................................................................. 2937.5 COULOMB .................................................................................................. 296
7.5.1 COULOMB ....................................................... 2967.5.2 COULOMB ............................................ 300
7.6 ....................................................................................... 3027.6.1 ................................................................... 3027.6.2 ............................................................................................... 3037.6.3 ................................................................................ 305
7.7 ............................................................................................................................ 307
8………………...........................................................................................…... 309 ................................................................ 309
8.1 ............................................................................................................................ 3098.2 E .......................................................... 314
VIII
8.3 .......................................................................................................................... 325
9……....................................................................................................................... 327............................................................................ 327
9.1 .......................................................................................................................... 3279.2 FOURIER ............................................................................................................... 3299.3. ........................................................................... 3369.4 FOURIER .................................................................. 3409.5 TIKH . - H .................................... 3429.6 FOURIER ............ 3439.7 ....................................................................... 3479.8 FOURIER .............................................................. 3509.9 FOURIER ................................................................................................... 3549.10 FOURIER .................................................................... 354
9.10.1 SANDE-TUKEY ....................................................................................... 3569.11 .......................................................................................................................... 359
:
10 ……………………………………………………………...…...................... 365. .. 365
10.1 ………………………………………………………………………………… 365 10.2 - …….. 367 10.3 - … 369 10.4 …. 371
10.4.1 ……………………………………………….. 376 10.4.1.1 ……………………………………………………………… 379 10.4.1.2 …………………………………………………………… 380 10.4.1.3 …………………………………………………………… 382
10.5 .38410.5 1 H ……………………………….. 385
10.6 ……………………………………………………………………. 390 10.7 ………………………………………….. 395 10.8 ………………………………………………………………………………… 399
11 …………………..……………………………….…………………...…..........405…………………………………………. 405
11.1 ……………………………………………………………………………….. 405 11.2 TO 406
IX
11.2.1 …………………………………… 406 11.2.2 …….. 419 11.2.3 …………………………………………. 423 11.2.4 …….. 427 11.2.5 ………..… 428
11.3 TO … 444 11.3.1 ……………………………………..…. 444 11.3.2 464
11.4 . GUYAN ………………………………….… 478 11.5 ……………………………… 484 11.6 …………… 499 11.7 …………………………………… 502 11.8 514
11.8.1 ………………………………………………… 514 11.8.2 524
11.9 … 537 11.9.1 ………………………………………… 537 11.9.2 543
11.10 554 11.10.1 …………………………………… 554 11.10.2 ………………………………………………………………………….. 558
11.11 ……………………………….. 563 11.11.1 .……………………………………….………….. 563 11.11.2 , , ………………..……………………………………………. 570
11.12 .………..……………………………………………………………………… 576
12 ……………………………………………………………...…....................... 583.……………………..… 583
12.1 ………………………………………………………………………………… 583 12.2 ……………………………....…… 584 12.3 ………………………………… 593 12.4 ……………………………………………………………………….. 595 12.5 ………………………………………..….. 603 12.5.1 …………………………………………………..…….. 603 12.5.2 ………………………………….… 605 12.5.3 ………………………………………………..… 615 12.6 RAYLEIGH ………………………………………………………………… 621 12.7 …………………………………………...……..… 626
X
12.8 ……………………………………………………………………………… 627 12.9 …………………………………… 629 12.10 ……………………………………… 635
12.10.1 ’ 2 ………………………. 635 12.10.2 …………………………… 640 12.10.3 ……………………………………..…… 646
12.11 …………………………. 650 12.11.1 RAYLEIGH.……………………………………………………………….… 650 12.11.2 …………………………………………… 653 12.11.3 ……………………….. 656
12.12. 666
13 ……………………………………………………………...……….............. 669.. 669
13.1 ……………………….……………………….……………….……………… 669 13.2 HOUSEHOLDER……………………….……..…………..……………….. 671 13.3 ……………………….………………………...…………….. 680
13.3.1 …………………………………….. 680 13.3.2 ……………………….………………………. 686
13.4 ………………..……………… 687 13.4.1 ……………………. 688 13.4.2 ……….. 690
13.5 ……………………………… 693 13.5.1 ……………………….…………………. 693 13.5.2 ……………………… 694
13.6 ……………………….…………. 697 13.7 …………………………………… 699 13.8 E ……………………….. 705 13.9 ……………………….……………………….……………………………… 711
14 …………………………………..………………………………...…............ 713……………… 713
14.1 ………………………………………………………………………………... 713 14.2 …………………………………… 714 14.3 ………………… 726
14.3.1 ……………………………………………………………. 726 14.3.2 ………………………………………………. 741 14.3.3 ……………………………………… 747 14.3.4 ………………………………… 748
14.4 …………………………………. 750
XI
14.4.1 ………………………………………….…………………… 750 14.4.2 …………………………………………………………... 751
14.5 RAYLEIGH-RITZ……………………………………………………………752 14.5.1 RITZ…………………………………………………………… 752 14.5.2 RITZ…………………………………………………... 755
14.6 RITZ………………………………………………. 757 14.6.1 …………………………………………………. 757 14.6.2 RITZ……………………………………………. 761
14.7 …………………………………………………………… 767 14.7.1 …………………………………… 767 14.7.1 …………………………………………………… 769
14.8 ………………………………………. 773 16.9 RAYLEIGH-RITZ ;…….. 778 14.10 . ……………………………………………………………… 780
14.10.1 ( ).– …………………… 781 14.10.2 ( ).– …………………… 785 14.10.3 (MAE).-- ……………. 790
14.11 . …………………………………………………………… 801
14.11.1 ( ). – ……………… 801 14.11.2 (MAE).– …………. 807
15 …………………………………………………..………………...….............. 817............................................................................................................... 817
15.1 ……………………………………………………………………………….. 817 15.2 ………………………………………………………………. 819 15.3 ……………………………………………………………… 831 15.4 845
15.4.1 ……………………………………………………. 845 15.4.2 ……………………………………………………… 846
15.5 ………………………………………………………………………………… 853
16……………………………………………………………….…...................... 855................................................................................................................... 855
16.1 ……………………………………………………………………………….. 855 16.2 …………………………………… 857
16.2.1 ……………………………… 857 16.2.2 ………………………………. 865
16.3 ……………………………………… 872 16.3.1 ……………………… 872 16.3.2 …………………………………… 876
XII
16.3.3 ………………………..…………… 877 16.3.4 …………………………………. 878
A……………………………………………………………….….................. 887.................................................................... 887
A.1 D’ALEMBERT ……………………………………… 887 .2 ………………………….. 889 .3 …………..… 898 .4 ………………………….…… 900 .5 ………………………………………………………………..…. 902
A.1 ……………………………………………………. 902 A.2 P…………………………………………….………… 904
B…………………………………………………………………….…............. 907……................................................................. 907
.1 ......................................... 907
C……………………………………………………………………..…........... 871....................................... 871
C.1 ............................................................................. 911 C.1.1 ............................................................................................. 911
C.1.1. ........................................................................................ 914 C.1.1.2 . ...................................................... 917
C.1.2 ............................................................................................... 919 C.2. ............................................................................ 922
C.2.1 ....................................................................... 922 C.2.2 ........................................................................ 924
......................................................................................................................... 927
.................................................................................................................................. 931
![Η Δυναμική του Ελάχιστου - Μπιτσάκης [Τόμος Β'].pdf](https://static.fdocument.org/doc/165x107/5695d0201a28ab9b029112b6/-5695d0201a28ab9b029112b6.jpg)
