Dynamic analysis of balance rope under multiple constraints with friction

2021 ◽  
pp. 095440622098659
Author(s):  
Ning Zhang ◽  
Guohua Cao ◽  
Fang Yang
Keyword(s):  
Dynamic Analysis ◽  
Absolute Nodal Coordinate Formulation ◽  
Vertical Motion ◽  
Differential Algebraic Equations ◽  
Multiple Constraints ◽  
Lateral Vibration ◽  
Algebraic Equations ◽  
Absolute Nodal Coordinate ◽  
Constraint Equations ◽  
Forced Responses

Dynamic model of balance rope under multiple constraints with friction is established via using non-equal-length element division method (NEL-EDM) based on absolute nodal coordinate formulation. Then, the natural frequency of balance rope under multiple constraints is derived by the proposed method. The KDP generalized-alpha scheme is expanded to differential algebraic equations (DAEs) with friction constraint equations and used to solve the DAEs proposed by this paper. Compared with the frequencies, lateral vibration displacements at four observation points, the analysis of the NEL-EDM is carried out by MATLAB, ANSYS, and RECURDYN software, and the feasibility of NEL-EDM is verified. The frequencies of balance rope with installed bushing constraints will occur frequency veering phenomenon when the balance rope moves up and down with the conveyance. Last, free responses of the balance rope under multiple constraints due to the effects of conveyance vertical motion, and those of in-plane excitation on forced responses of balance rope under multiple constraints with friction are investigated.

A Multibody Dynamical Model for Full Hole Drillstring Dynamics

2013 ◽  
Vol 378 ◽  
pp. 91-96 ◽  
Author(s):  
Zai Bin Cheng ◽  
Wei Jiang ◽  
Ge Xue Ren ◽  
Jian Liang Zhou ◽  
Shi Quan Jiang ◽  
...  
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Beam Element ◽  
Differential Algebraic Equations ◽  
Friction Model ◽  
Dynamical Model ◽  
Contact Friction ◽  
Algebraic Equations ◽  
Absolute Nodal Coordinate ◽  
Multibody Dynamic ◽  
The Absolute

The research on drillstring dynamics is necessary for improving drilling efficiency and safety. In this investigation, a multibody dynamical model for 3D full hole drillstring system is presented based on the Absolute Nodal Coordinate Formulation (ANCF). The drillstring is modeled with the ANCF beam element. The absolute nodal coordinate formulation of the beam element as well as the boundary conditions at the top-drive and drill-bit, and the contact/friction model between drillstring and wellbore are also investigated. The dynamic governing equation for full hole drillstring system is given and solved by the backward differentiation formulation (BDF) for differential algebraic equations (DAEs). The developed multibody dynamic solver is capable of analyzing full coupled vibration for the full hole drillstring system. It can play a certain role in drillstring dynamics researches and engineering applications.

A GPU Parallelization of the Absolute Nodal Coordinate Formulation for Applications in Flexible Multibody Dynamics

2012 ◽  
Author(s):  
Daniel Melanz ◽  
Naresh Khude ◽  
Paramsothy Jayakumar ◽  
Mike Leatherwood ◽  
Dan Negrut
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Solution Process ◽  
Flexible Multibody Dynamics ◽  
Differential Algebraic Equations ◽  
Implicit Time ◽  
Processing Unit ◽  
Algebraic Equations ◽  
Large Rotation ◽  
Absolute Nodal Coordinate ◽  
The Absolute

The Absolute Nodal Coordinate Formulation (ANCF) has been widely used to carry out the dynamics analysis of flexible bodies that undergo large rotation and large deformation. This formulation is consistent with the nonlinear theory of continuum mechanics and is computationally more efficient compared to other nonlinear finite element formulations. Kinematic constraints that represent mechanical joints and specified motion trajectories can be introduced to make complex flexible mechanisms. As the complexity of a mechanism increases, the system of differential algebraic equations becomes very large and results in a computational bottleneck. This contribution helps alleviate this bottleneck using three tools: (1) an implicit time-stepping algorithm, (2) fine-grained parallel processing on the Graphics Processing Unit (GPU), and (3) enabling parallelism through a novel Constraint-Based Mesh (CBM) approach. The combination of these tools results in a fast solution process that scales linearly for large numbers of elements, allowing meaningful engineering problems to be solved.

Comparison of Three-Dimensional Flexible Beam Elements for Dynamic Analysis: Classical Finite Element Formulation and Absolute Nodal Coordinate Formulation

2009 ◽  
Vol 5 (1) ◽  
Author(s):  
A. L. Schwab ◽  
J. P. Meijaard
Keyword(s):  
Dynamic Analysis ◽  
Absolute Nodal Coordinate Formulation ◽  
Three Dimensional ◽  
Flexible Beam ◽  
Element Formulation ◽  
Shear Locking ◽  
Elastic Line ◽  
Absolute Nodal Coordinate ◽  
Beam Elements ◽  
Bending Mode

Three formulations for a flexible spatial beam element for dynamic analysis are compared: a Timoshenko beam with large displacements and rotations, a fully parametrized element according to the absolute nodal coordinate formulation (ANCF), and an ANCF element based on an elastic line approach. In the last formulation, the shear locking of the antisymmetric bending mode is avoided by the application of either the two-field Hellinger–Reissner or the three-field Hu–Washizu variational principle. The comparison is made by means of linear static deflection and eigenfrequency analyses on stylized problems. It is shown that the ANCF fully parametrized element yields too large torsional and flexural rigidities, and shear locking effectively suppresses the antisymmetric bending mode. The presented ANCF formulation with the elastic line approach resolves most of these problems.

scholarly journals Dynamic analysis of rotating shafts using the absolute nodal coordinate formulation

2019 ◽  
Vol 453 ◽  
pp. 214-236 ◽  
Author(s):  
Babak Bozorgmehri ◽  
Vesa-Ville Hurskainen ◽  
Marko K. Matikainen ◽  
Aki Mikkola
Keyword(s):  
Dynamic Analysis ◽  
Absolute Nodal Coordinate Formulation ◽  
Absolute Nodal Coordinate ◽  
Rotating Shafts ◽  
The Absolute

Non-smooth dynamical analysis and experimental validation of the cable-suspended parallel manipulator

2012 ◽  
Vol 226 (10) ◽  
pp. 2456-2466 ◽  
Author(s):  
Xing-Guo Shao ◽  
Zhen-Cai Zhu ◽  
Qing-Guo Wang ◽  
Peter CY Chen ◽  
Bin Zi ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Parallel Manipulator ◽  
Inequality Constraints ◽  
Parallel Robot ◽  
Differential Algebraic Equations ◽  
Dynamical Analysis ◽  
Algebraic Equations ◽  
Dynamics Model ◽  
Midpoint Method ◽  
Smooth Dynamics

The cable-suspended parallel manipulator replaces the rigid links of traditional parallel robot. The unilateral property of the cable complicates the dynamic analysis of such manipulator and further induces difficulty in control problem. The set-valued tension law is proposed to model the unilateral constraint of the cable, and the dynamics of cable-suspended parallel manipulator is analyzed in the framework of non-smooth dynamics. The resulting non-smooth dynamics model consists of a set of differential–algebraic equations with inequality constraints. Its solution is found by the Moreau midpoint method. An experimental setup was established to verify and validate the effectiveness and accuracy of non-smooth dynamics. And the simulation results generally agree with the experimental results, which demonstrate that the non-smooth dynamics is effective and reasonable for the dynamic analysis of the cable-suspended parallel manipulator. The results of this article deeply reveal the dynamics of the cable-suspended parallel manipulator, and may be used to design more accurate controller for its trajectory control.

Dynamic Analysis of an Elevator Traveling Cable Using a Singularity-Free Beam Formulation

2017 ◽  
Vol 84 (4) ◽  
Author(s):  
W. Fan ◽  
W. D. Zhu
Keyword(s):  
Dynamic Analysis ◽  
Multibody Dynamics ◽  
Natural Frequencies ◽  
Vertical Motion ◽  
Dynamic Responses ◽  
Mode Shapes ◽  
Out Of Plane ◽  
Forced Responses ◽  
Free Beam ◽  
Good Agreement

A round elevator traveling cable is modeled using a singularity-free beam formulation. Equilibria of the traveling cable with different elevator car positions are studied. Natural frequencies and the corresponding mode shapes of the traveling cable are calculated and they are in excellent agreement with those calculated by abaqus. In-plane natural frequencies of the traveling cable do not change much with the car position compared with its out-of-plane ones. Dynamic responses of the traveling cable are calculated and they are in good agreement with those from commercial multibody dynamics software recurdyn. Effects of vertical motion of the car on free responses of the traveling cable and those of in-plane and out-of-plane building sways on forced responses are investigated.

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