- An analytical method based on the Reference (Huang Yuying, 1986) is presented for finding the elastic deflection of pipelines laid with an articulated stinger. The suspended segment and the segment supported by the stinger are treated separately hnt simultaneously with the singular perturbation technique and by use of the continuous conditions at the joint between the two segments, an approximate solution of the second order to the deflection of the whole pipeline is obtained. - An analytical method based on the Reference (Huang Yuying, 1986) is presented for finding the elastic deflection of pipelines laid with an articulated stinger. The suspended segment and the segment supported by the stinger are treated separately hnt simultaneously with the singular perturbation technique and by use of the continuous conditions at the joint between the two segments, an approximate solution of the second order to the deflection of the whole pipeline is obtained.