Absolute Nodal Coordinate Formulation-Based Decoupled-Stranded Model for Flexible Cables With Large Deformation

2021 ◽  
Vol 16 (3) ◽  
Author(s):  
Yue Zhang ◽  
Jiawen Guo ◽  
Yuqiang Liu ◽  
Cheng Wei
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Axial Strain ◽  
Bending Stiffness ◽  
Axial Stiffness ◽  
Traditional Model ◽  
Detailed Model ◽  
Absolute Nodal Coordinate ◽  
Flexible Cable ◽  
Constitutive Properties ◽  
Strain Coupling

Abstract The existing flexible cable dynamics model, established using the absolute nodal coordinate formulation (ANCF), suffers from the issue of strain coupling. It also does not consider the nonlinear mechanical properties inside the flexible cable and consequently provides an inaccurate description of the strain and the constitutive properties. In this study, the axial strain of the flexible cable was redescribed by constructing an equivalent rod element in order to decouple the axial strain and bending strain. Subsequently, a strain-decoupled ANCF cable element was derived. Then, by analyzing the geometry of the stranded flexible cable as well as the relative sliding and friction between the wires in the cable, the axial stiffness and bending stiffness calculation formulae were obtained and the decoupled-stranded model was established. This study, therefore, achieved an improvement upon the traditional model in describing the strain and constitutive properties. The simulation results show that the decoupled model eliminates the strain coupling effect compared with the traditional model and has the advantages of fast convergence and high accuracy. The stiffness characteristics analysis shows that the bending stiffness of the cable changes during the bending process due to the relative motion and friction between the wires. Finally, the comparative analysis shows that the accuracy of the decoupled-stranded model is very close to that of the detailed model and performs much better than the other ANCF models, and the complexity of the decoupled-stranded model is far lower than that of the detailed model.

Modeling and Analysis of Wire Rope in the Drilling Device Using ANCF Method

2014 ◽  
Vol 1006-1007 ◽  
pp. 30-33 ◽  
Author(s):  
Yue Zhang ◽  
Cheng Wei ◽  
Jiang Zhang ◽  
Yang Zhao
Keyword(s):  
Computational Efficiency ◽  
Absolute Nodal Coordinate Formulation ◽  
Three Dimensional ◽  
Wire Rope ◽  
Large Rotation ◽  
Modeling And Analysis ◽  
Absolute Nodal Coordinate ◽  
Flexible Cable ◽  
Deformation Problem ◽  
The Wire

The wire rope of drilling device is modeled by using absolute nodal coordinate formulation (ANCF) which is presented for the analysis of three dimensional flexible cable in this paper. This formulation is suited for the analysis of large rotation and deformation problem. Only axial and bending deformations are taken into account in this paper, which increases the computational efficiency without affecting the precision. Vibrations of the drilling mechanism and the wire rope under different preloads are simulated. It can be seen from the emulational results that resonance will occur when the preload increases to a certain value and the amplitude is the largest in this case.

Improvement on Evaluating Axial Elastic Force in Bernoulli-Euler Beam Based on the Absolute Nodal Coordinate Formulation by Accurate Mean Axial Strain Measure

2011 ◽  
Author(s):  
Tsubasa Wago ◽  
Nobuyuki Kobayashi ◽  
Yoshiki Sugawara
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Axial Strain ◽  
Computing Time ◽  
Beam Element ◽  
Elastic Force ◽  
Flexible Beam ◽  
Euler Beam ◽  
Absolute Nodal Coordinate ◽  
The Mean ◽  
The Absolute

This paper presents an improved formulation of axial elastic force in three-dimensional Bernoulli-Euler beam element based on the absolute nodal coordinate formulation. An accurate measure of mean axial strain for evaluating the axial elastic forces characterizes the presented formulation. The presented formulation evaluates the mean axial strain accurately by calculating the length of deformed beam element along its neutral axis. A comparison of the conventional formulations of the axial elastic force and the presented formulation is performed in some numerical examples which contain large bending deformation of flexible beam. As a result, it is verified that the presented formulation can express large deformation accurately with smaller number of elements than the conventional formulation which calculates the mean axial strain with straight-line distance between both element nodes. Moreover, it is also verified that the presented formulation can avoid excessive increase in computing time to simulate the dynamic behavior of flexible beam.

Analysis of Higher and Lower Order Elements for the Absolute Nodal Coordinate Formulation

2005 ◽  
Author(s):  
Johannes Gerstmayr ◽  
Ahmed A. Shabana
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Bending Stiffness ◽  
Torsional Stiffness ◽  
Reduced Order ◽  
Absolute Nodal Coordinate ◽  
The Absolute ◽  
Low Tension ◽  
Thin Beams ◽  
Sliding Joints ◽  
Order Element

A higher order and a reduced order element for the analysis of thin beams using the absolute nodal coordinate formulation are investigated. Additional shape functions are introduced for the existing spatial absolute nodal coordinate beam element in order to increase its accuracy. For thin structures where bending stiffness might be still desired, a cable element is introduced and compared with existing formulations using several examples. Cables that experience low tension or catenary systems, where bending stiffness has an effect on the wave propagation, are examples in which the low order element can be used. The cable element, which does not include torsional stiffness, can be very effective in numerous applications and problems such as the formulation of sliding joints in applications such as the spatial pantograph-catenary system.

In-Place FE Modeling of Unbonded Flexible Pipelines Capturing Pressure Stiffening and Decoupled Axial/Nonlinear Bending Stiffness

2010 ◽  
Author(s):  
Edvin Hanken ◽  
Evelyn R. Hollingsworth ◽  
Lars S. Fagerland
Keyword(s):  
Water Injection ◽  
Bending Stiffness ◽  
Axial Stiffness ◽  
Fe Model ◽  
Nonlinear Bending ◽  
Upheaval Buckling ◽  
History Effects ◽  
System Integrity ◽  
Non Linear ◽  
Bending Behaviour

For fast track pipeline projects the need for costly installation vessels and sophisticated materials for rigid pipeline water injection systems, have made flexible pipelines a competitive alternative. They can be installed with less costly construction vessels, provide a competitive lead time and a corrosion resistant compliant material. Flexible pipelines have relative high axial stiffness and low non-linear bending stiffness which is a challenge to model correctly with FE for in-place analyses of pipelines. Whilst some FE programs can model the non-linear bending behaviour of a flexible pipeline at a given pressure, current FE tools do not include the effect of increased bending resistance as the system is pressurized. Therefore, a 3D FE model in ANSYS was developed to simulate the decoupled axial and nonlinear bending behaviour of a flexible, including the bend stiffening effect for increasing pressure. A description of the model is given in this paper. It will be demonstrated how the FE model can be used to simulate the 3D nonlinear catenary behaviour of an high pressure flexible pipeline tied into a manifold during pressurization. Due to high manifold hub loads during pressurization it is essential that such a model is capable of capturing all effects during pressurization to achieve an acceptable confidence level of the system integrity. It is also described how the FE model is used for upheaval buckling design, capturing non-linearities and load history effects that can reduce the conservatism in the design.

Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody Problems

1999 ◽  
Vol 122 (4) ◽  
pp. 498-507 ◽  
Author(s):  
Marcello Campanelli ◽  
Marcello Berzeri ◽  
Ahmed A. Shabana
Keyword(s):  
Finite Element ◽  
Multibody Systems ◽  
Absolute Nodal Coordinate Formulation ◽  
Flexible Multibody Systems ◽  
Large Displacement ◽  
Body Motion ◽  
Absolute Nodal Coordinate ◽  
Flexible Multibody ◽  
The Absolute ◽  
Finite Element Formulations

Many flexible multibody applications are characterized by high inertia forces and motion discontinuities. Because of these characteristics, problems can be encountered when large displacement finite element formulations are used in the simulation of flexible multibody systems. In this investigation, the performance of two different large displacement finite element formulations in the analysis of flexible multibody systems is investigated. These are the incremental corotational procedure proposed in an earlier article (Rankin, C. C., and Brogan, F. A., 1986, ASME J. Pressure Vessel Technol., 108, pp. 165–174) and the non-incremental absolute nodal coordinate formulation recently proposed (Shabana, A. A., 1998, Dynamics of Multibody Systems, 2nd ed., Cambridge University Press, Cambridge). It is demonstrated in this investigation that the limitation resulting from the use of the infinitesmal nodal rotations in the incremental corotational procedure can lead to simulation problems even when simple flexible multibody applications are considered. The absolute nodal coordinate formulation, on the other hand, does not employ infinitesimal or finite rotation coordinates and leads to a constant mass matrix. Despite the fact that the absolute nodal coordinate formulation leads to a non-linear expression for the elastic forces, the results presented in this study, surprisingly, demonstrate that such a formulation is efficient in static problems as compared to the incremental corotational procedure. The excellent performance of the absolute nodal coordinate formulation in static and dynamic problems can be attributed to the fact that such a formulation does not employ rotations and leads to exact representation of the rigid body motion of the finite element. [S1050-0472(00)00604-8]

Nonlinear Analysis of L-shaped Pipe Conveying Fluid with the Aid of Absolute Nodal Coordinate Formulation

2021 ◽  
Author(s):  
K. Zhou ◽  
H.R. Yi ◽  
Huliang Dai ◽  
H Yan ◽  
Z.L. Guo ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Flow Velocity ◽  
Absolute Nodal Coordinate Formulation ◽  
Strong Relationship ◽  
Excitation Amplitude ◽  
Pipe Conveying Fluid ◽  
Base Excitation ◽  
Absolute Nodal Coordinate ◽  
Nonlinear Behaviors ◽  
Conveying Fluid

Abstract By adopting the absolute nodal coordinate formulation, a novel and general nonlinear theoretical model, which can be applied to solve the dynamics of combined straight-curved fluid-conveying pipes with arbitrary initially configurations and any boundary conditions, is developed in the current study. Based on this established model, the nonlinear behaviors of the cantilevered L-shaped pipe conveying fluid with and without base excitations are systematically investigated. Before starting the research, the developed theoretical model is verified by performing three validation examples. Then, with the aid of this model, the static deformations, linear stability, and nonlinear self-excited vibrations of the L-shaped pipe without the base excitation are determined. It is found that the cantilevered L-shaped pipe suffers from the static deformations when the flow velocity is subcritical, and will undergo the limit-cycle motions as the flow velocity exceeds the critical value. Subsequently, the nonlinear forced vibrations of the pipe with a base excitation are explored. It is indicated that the period-n, quasi-periodic and chaotic responses can be detected for the L-shaped pipe, which has a strong relationship with the flow velocity, excitation amplitude and frequency.

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