Research Article
Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum
Table 3
Numerical comparison for
of nonlinear pendulum. Considering
.
| | (55) | HPM (50) | LPHPM | NDHPM (29) |
| | 1.00000000 | 1.5708262330620782 | 1.5708262330620789 | 1.5708262328912635 | 1.5708262330620782 | | 10.00000000 | 1.5737921309247680 | 1.5737921309137186 | 1.5737904171285648 | 1.5737921309298985 | | 50.00000000 | 1.6489952184785310 | 1.6489951818036827 | 1.6478388934763048 | 1.6489966814551095 | | 100.00000000 | 1.9355810960047220 | 1.9356331885927838 | 1.9133053425965654 | 1.9345771658441948 | | 120.00000000 | 2.1565156474996432 | 2.1562170331637955 | 2.1071446302159819 | 2.1435695247049310 | | 130.00000000 | 2.3087867981671961 | 2.3080949709723178 | 2.2390737258149828 | 2.2708015298391809 | | 140.00000000 | 2.5045500790016340 | 2.5047278166695662 | 2.4091002654586270 | 2.4052794658306813 | | 150.00000000 | 2.7680631453687676 | 2.7723737183655317 | 2.6410091037967786 | 2.5354467979775911 | | 160.00000000 | 3.1533852518878388 | 3.1570008973230000 | 2.9887412725547848 | — | | 170.00000000 | 3.8317419997841462 | 3.8074862454595039 | 3.6247866486947020 | — | | 175.00000000 | 4.5202232749476581 | 4.5078737329373597 | 4.2924790748606028 | — | | 177.00000000 | 5.0298609371127860 | 5.0733536048198848 | 4.79490944850198683 | — | | 179.00000000 | 6.127778824526868 | 4.631673755961933 | 5.88740406465829867 | — | | 179.90000000 | 8.430255141254121 | — | 8.18871358260360318 | — | | 179.99999000 | 17.64055690983073 | — | 17.3989702100090882 | — | | 179.99999999 | 24.548351581120853 | — | 24.2491870075566718 | — |
|
|
