Research Article
Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum
Table 4
Relative error (RE) comparison for
of nonlinear pendulum (see Table
3).
| | (55) | R.E. HPM (50) | R.E. LPHPM | R.E. NDHPM (29) |
| 1.00000000 | 1.5708262330620782 | | | | 10.00000000 | 1.5737921309247680 | | | | 50.00000000 | 1.6489952184785310 | | 0.0007012 | | 100.00000000 | 1.9355810960047220 | | 0.01151 | 0.0005187 | 120.00000000 | 2.1565156474996432 | | 0.02289 | 0.006003 | 130.00000000 | 2.3087867981671961 | | 0.03019 | 0.01645 | 140.00000000 | 2.5045500790016340 | | 0.03811 | 0.03964 | 150.00000000 | 2.7680631453687676 | | 0.0459 | 0.08404 | 160.00000000 | 3.1533852518878388 | | 0.05221 | — | 170.00000000 | 3.8317419997841462 | 0.00633 | 0.05401 | — | 175.00000000 | 4.5202232749476581 | 0.002732 | 0.05038 | — | 177.00000000 | 5.0298609371127860 | | | — | 179.00000000 | 6.127778824526868 | 0.244151 | | — | 179.90000000 | 8.430255141254121 | — | | — | 179.99999000 | 17.64055690983073 | — | | — | 179.99999999 | 24.548351581120853 | — | 0.01222747 | — |
|
|