𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Application of the generalized-α method to the time integration of the cable dynamics equations

✍ Scribed by J.I. Gobat; M.A. Grosenbaugh

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
240 KB
Volume
190
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

The box method is a popular ®nite dierence scheme for solving the cable dynamics equations in ocean engineering applications. In this paper, we analyze the shortcomings of the temporal integration de®ned by the box method and propose a new procedure that retains the box method's spatial discretization, but employs the generalized-a method for temporal discretization. The stability and accuracy of the generalized-a method, as applied to the cable dynamics equations, are developed. This analysis procedure demonstrates the formulation of the semi-discrete governing equations using spatial ®nite dierences and the applicability of ampli®cation matrix stability analysis to ®nite dierence problems. An example is presented that demonstrates the robustness of the new approach.

📜 SIMILAR VOLUMES

An application of the time-domain bounda
An application of the time-domain boundary integral equation method to dynamic crack propagation
✍ Sambi R. Mettu; Kyung S. Kim 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 606 KB

An application of the time-domain boundary integral equation method (TBIEM) to the case of rapidly moving cracks in a continuum is presented. The major objective of this paper is to explore the potential of the TBIEM in solving problems in dynamic fracture where inertia effects cannot be ignored. In

An application of the boundary integral
An application of the boundary integral equation method to dynamic fracture mechanics
✍ T.Y. Fan; H.G. Hahn 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 414 KB

In this paper the direct boundary integral equation method is applied to dynamic fracture mechanics, and the computational results are compared with experimental values. The comparison shows that the authors' computation is successful.