Analysis of warping deformation modes using higher order ANCF beam element

Orzechowski, Grzegorz; Shabana, Ahmed A.

doi:10.1016/j.jsv.2015.10.013

Cited by 56 publications

(26 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Only models with BE42 converge to the reference solution with acceptable error, and the model with 40 BE42 elements predicts the solution correctly. However, the convergence rate of this element to the steady response is the slowest, which may be caused by the shear locking [28]. Element BE30T converges to wrong over-stiff solution with noticeable error, despite that this element includes a trapezoidal displacement mode.…”

Section: Static Simulation Of the Clamped Beammentioning

confidence: 99%

“…Therefore, one can define the lower-order basis using tilde notation as: (27) and the Eq. (25) may be written in the new space as [8,17]: (28) where:…”

Section: Projection Operatormentioning

confidence: 99%

“…Moreover, the clamped condition is also imposed at those coordinates. For a more detailed discussion on the continuity condition, see, e.g., [15,28]. The main purpose of this example is to compare the results of different ANCF beam elements and locking elimination techniques presented in this paper.…”

Section: Static Simulation Of the Clamped Beammentioning

confidence: 99%

“…This element is referred in the following as beam element 30 with trapezoidal mode (BE30T). The last element is higher-order beam element with forty-two nodal coordinates that include full quadratic approximation in transversal direction introduced in [36] where it is denoted as B2 and further investigated in [28]. This element is denoted in the following as beam element 42 (BE42).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Orzechowski

Frączek

2015

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

Many modern applications of the flexible multibody systems require formulations that can effectively solve problems that include large displacements and deformations having the ability to model nonlinear materials. One method that allows dealing with such systems is continuum-based absolute nodal coordinate formulation (ANCF). The objective of this study is to formulate an efficient method of modeling nonlinear nearly incompressible materials with polynomial Mooney-Rivlin models and volumetric energy penalty function in the framework of the ANCF. The main part of this paper is dedicated to the examination of several ANCF fully parameterized beam elements under incompressible regime. Moreover, two volumetric suppression methods, originating in the finite element analysis, are proposed: a well-known selective reduced integration and F-bar projection. It is also presented that the use of these methods is crucial for performing reliable analysis of models with bending-dominated loads when lower-order elements are employed. The results of the simulations carried on with considered elements and proposed methods are compared with the results obtained from commercial finite element package and existing ANCF implementation. The results

show abstract

Section: Static Simulation Of the Clamped Beammentioning

confidence: 99%

“…Therefore, one can define the lower-order basis using tilde notation as: (27) and the Eq. (25) may be written in the new space as [8,17]: (28) where:…”

Section: Projection Operatormentioning

confidence: 99%

Section: Static Simulation Of the Clamped Beammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Orzechowski

Frączek

2015

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

show abstract

“…[39,40] fits well absolute coordinates approach adopted here); however, to keep the model as easy as possible, much simpler approach is proposed here.…”

Section: Simplified Model Of a Flexible Linkmentioning

confidence: 97%

Modeling of static friction in closed-loop kinematic chains—Uniqueness and parametric sensitivity problems

Wojtyra

2016

Multibody Syst Dyn

View full text Add to dashboard Cite

Problems with uniqueness and high parametric sensitivity of the solution of equations of motion, encountered in the static friction regime, are addressed. Friction in joints of a multibody system with closed-loop kinematic chains is discussed. Three different models of friction are studied: the discontinuous Coulomb model with stiction regime represented in terms of additional constraints; the approximate Coulomb model, smoothed in the vicinity of zero relative velocity; and the LuGre model with presliding displacements represented in terms of auxiliary state variables. Firstly, a rigid body model is investigated. It is shown that in the case of constraint addition approach, problems with uniqueness of solution emerge in the static friction regime. In the case of continuous models of friction, the solution in the stiction regime and its vicinity is highly sensitive to some hardly measurable or arbitrarily chosen parameters of the model of friction. Origins of nonuniqueness and high sensitivity are investigated, and the questionable credibility of the stiction regime simulation results is discussed. Secondly, a simplified model of body and joint elasticity is introduced to investigate the impact of flexibility on the mechanism frictional behavior. It is shown that taking the flexibility into consideration may eliminate the uniqueness and sensitivity problems. Moreover, the quantities that represent flexibility may be regarded as the key factors influencing the results of stiction regime simulation. Five examples are provided to illustrate the presented considerations.

show abstract

Symplectic Methods for a Finite-Dimensional System

Xiao

Deng

2023

Geometric Mechanics and Its Applications

View full text Add to dashboard Cite

Analysis of warping deformation modes using higher order ANCF beam element

Cited by 56 publications

References 23 publications

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Modeling of static friction in closed-loop kinematic chains—Uniqueness and parametric sensitivity problems

Symplectic Methods for a Finite-Dimensional System

Contact Info

Product

Resources

About