Tapered beam on elastic foundation model for compliance rate change of TDCB specimen

2003 ◽  
Vol 70 (2) ◽  
pp. 339-353 ◽  
Author(s):  
Pizhong Qiao ◽  
Jialai Wang ◽  
Julio F Davalos
Keyword(s):  
Elastic Foundation ◽  
Compliance Rate ◽  
Rate Change ◽  
Tapered Beam ◽  
Beam On Elastic Foundation ◽  
Foundation Model

The Simulation of the Interaction between SCR and Seabed

2013 ◽  
Vol 378 ◽  
pp. 102-108
Author(s):  
Chao Fan Yang ◽  
Wei Ping Huang ◽  
Xing Lan Bai ◽  
Qing Fei Meng
Keyword(s):  
Elastic Foundation ◽  
Curve Beam ◽  
Memory Requirement ◽  
Damping Force ◽  
Friction Forces ◽  
Beam On Elastic Foundation ◽  
Foundation Model ◽  
Spring System ◽  
Analytical Result

The simulation of the interaction between steel caternary risers (SCRs) and seabed was studied based on beam on elastic foundation theory and the node-spring system foundation mehod for comparison, with the SCR modeled by extensible flexibility cable curve beam. Not only the bottom support and the friction forces were taken into account, but also the damping force of seabed was included in the model of the interaction between SCR and seabed. The results show that compared with using the node-spring system foundation, the effect of the element length of the model on analytical result is insignificant and a longer element could be used for the model, when the beam on elastic foundation model is used. So, the analysis is not time-consuming and the memory requirement is not so large by using the beam on elastic foundation model.

Mechanical Response of a Metallic Aortic Stent—Part II: A Beam-on-Elastic Foundation Model

2004 ◽  
Vol 71 (5) ◽  
pp. 706-712 ◽  
Author(s):  
R. Wang ◽  
K. Ravi-Chandar
Keyword(s):  
Blood Vessel ◽  
Elastic Foundation ◽  
Mechanical Response ◽  
Beam Model ◽  
Metallic Stent ◽  
Coupled Problem ◽  
Beam On Elastic Foundation ◽  
Foundation Model ◽  
Bending Stresses ◽  
Bending Response

The main objective of the paper is to develop the mathematical analysis of the response of a metallic stent subject to axisymmetric loads over its length and to different boundary conditions. These situations introduce bending stresses in the stent and cannot be captured by a model of the stent that can be used to characterize the pressure-diameter relationship under axially uniform loading. The analysis presented here is based on an analogy between a thin-walled pressure vessel and a beam on elastic foundation; in the present application, we derive an equivalent beam model for the bending response of a stent. Using this model, we evaluate the shape of the stent exiting the catheter as well as the variation of the diameter along the length of the stent constrained by stiff end supports. This approach can be used to evaluate the coupled response of the stent and the blood vessel, if the mechanical properties of the blood vessel are known. The coupled problem and its implications in the design of stents are discussed.

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