2020
DOI: 10.1155/2020/8834011
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Mathematical Modelling and Dynamic Analysis of an Offshore Drilling Riser

Abstract: In this paper, a dynamic model of an offshore drilling riser is developed based on the Hamilton principle. The developed dynamic model is transformed into a finite element model by introducing an approximate solution which chooses the Hermite cubic interpolation function of bending beam element as the shape function. Thereafter, the standard Newmark integration is applied to numerically simulate the dynamic responses of offshore drilling risers with varied system parameters, including the length of riser, top … Show more

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Cited by 10 publications
(3 citation statements)
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References 18 publications
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“…In recent years more and more mathematical interest is attracted by control problems arising in modelling of offshore drilling structures ( [12], [9]) and different kinds of robotic manipulators ( [15], [24]).…”
Section: Related Workmentioning
confidence: 99%
“…In recent years more and more mathematical interest is attracted by control problems arising in modelling of offshore drilling structures ( [12], [9]) and different kinds of robotic manipulators ( [15], [24]).…”
Section: Related Workmentioning
confidence: 99%
“…Burke established the earliest static model of risers by describing the force state of riser elements using the fourth-order differential equation of the Euler-Bernoulli beam [1]. Based on Burke's work, scholars simplified models of risers and utilized computer simulations to replicate actual conditions and to identify the key parameters influencing riser behavior [2][3][4]. With the advancement and maturity of the small-strain theory and finite element methods, they have gradually been incorporated into the static analysis of risers, demonstrating their growing significance and practical application in the field.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, there are supporting attachments for these offshore installations that are used for a variety of functions and in a variety of water depths and environments globally. These components included drilling/production marine risers [17][18][19][20][21][22][23], composite risers [24][25][26][27][28][29][30], mooring lines [31][32][33][34][35][36][37][38][39], and marine hoses [40][41][42][43][44][45][46][47][48][49]. Figure 1 depicts some offshore platform installations.…”
Section: Introductionmentioning
confidence: 99%