Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum

Table 2

Terminal slope 𝜃(0) and coordinates [𝜉(0),𝜁(0)] of cantilever beam under normal follower forces (𝛼=𝜋/2).

Method	D.M. [55]	NDHPM (29)	HPM [50]	D.M. [55]	NDHPM (29)	HPM [50]	D.M. [55]	NDHPM (29)	HPM [50]
𝜆	𝜃(0)^∘	𝜃(0)^∘	𝜃(0)^∘	𝜉(0)	𝜉(0)	𝜉(0)	𝜁(0)	𝜁(0)	𝜁(0)
2.00	55.48	55.44	55.48	0.7674	0.7677	0.7673	0.5738	0.5735	0.5739
4.00	101.78	101.84	101.84	0.3428	0.3419	0.3420	0.7862	0.7866	0.7864
8.00	157.94	158.20	158.06	−0.0739	−0.0765	−0.0749	0.6336	0.6323	0.6330
13.75	180.00	178.75	179.81	0.0000	0.0104	0.0019	0.4570	0.4577	0.4566
16.00	177.56	176.27	177.22	0.0910	0.1009	0.0938	0.4212	0.4215	0.4206
24.00	140.04	141.94	141.16	0.4348	0.4310	0.4320	0.1588	0.1732	0.1664
36.00	55.64	54.20	54.51	0.2855	0.2726	0.2740	−0.4546	−0.4619	−0.4608