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The deflection curves under the three contact cases in the initial configuration are obtained.
Finally, three different contact cases versus the input coupling are analyzed, and an optimal design method is developed.
Therefore, there exist three contact cases between the tubular string and the wellbore: no contact, point contact, and wrap contact.
Then the relations between the curvature derivatives of mating surfaces undergoing generalized relative motion are obtained directly, including both line contact and point contact cases.
The results show that the tubular string weight and wellbore curvature affect the critical transition conditions between different contact cases a lot.
Gao et al. (2012) studied the critical sinusoidal buckling load for a initially straight tubular string in no contact, point contact, and wrap contact cases.
The model can be used in both single and multiple contact cases as long as the loading assumption for each contact is valid and harmonic balance can be applied.
Huang's studies indicate that the effect of connectors on the tubular string buckling behavior is significant and reaches a maximum value under the critical condition from no contact to point contact cases.
Huang et al. (2015c) pointed out that there are 9 deflection states and 12 transition conditions by the combination of three contact cases and three buckling states shown in Fig. 4.
In this study, the frictionless contact problem for an elastic layer resting on an elastic half plane is solved by the theory of elasticity and integral transformation technique, and different parameters are researched for various dimensionless quantities for both continuous and discontinuous contact cases.
