Flexible actuator finite element applied to spatial mechanisms by a finite deformation dynamic formulation

Siqueira, Tiago Morkis; Coda, Humberto Breves

doi:10.1007/s00466-019-01732-0

Cited by 5 publications

(2 citation statements)

References 35 publications

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“…( 13). Details regarding this development can be obtained for the employed plane frame element particular kinematics in Siqueira and Coda (2017) and for a general framework of positional finite elements in Siqueira and Coda (2019), for instance. Following these studies, the equilibrium can be written in a compact form as…”

Section: Unconstrained Equations Of Motionmentioning

confidence: 99%

Improved friction model applied to plane sliding connections by a large deformation FEM formulation

Siqueira

Coda

2023

Lat. Am. j. solids struct.

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Friction is an important source of dissipation in dynamical systems. Properly considering it in the numerical model is fundamental to obtain stable and representative responses in structures and mechanisms. This is especially significant for the well-known Coulomb model due to discontinuity in force when stick-slip transition occurs. In this work an improved friction force model is proposed to smooth the force transition at null velocity, with an additional parameter obtained from the own system state. The improved model is employed in sliding connections of plane frames finite elements. A total Lagrangian Finite Element Method (FEM) formulation based on a positional description of the motion is employed. Using a variational principle, frictional dissipation is added to the total mechanical energy to develop the equations of motion. The resulting nonlinear equations are solved by the Newton-Raphson method accounting for the friction force update in the iterative process. Examples are presented to show the formulation effectiveness and possibilities in simulating dynamical systems that present the stick-slip effect.

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Section: Unconstrained Equations Of Motionmentioning

confidence: 99%

Improved friction model applied to plane sliding connections by a large deformation FEM formulation

Siqueira

Coda

2023

Lat. Am. j. solids struct.

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“…In this technique, positions, instead of displacements, are used as the main variables to discretize solids and structures. It has been successfully used in several works with good results for unconstrained dynamic analyses (Coda et al, 2020;Siqueira and Coda, 2019;Coda and Paccola, 2014;Coda and Paccola, 2011;Coda et al, 2013). As far as the authors knowledge goes, for constrained cases the positional FEM has been used only for bilateral sliding connections of plane frames using the Newmark-β time integrator (Siqueira and Coda, 2016;Siqueira and Coda, 2017).…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of sliding connections with mesh independent roughness by a total Lagrangian FEM

Siqueira

Rodríguez²,

Coda

2022

Lat. Am. j. solids struct.

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Sliding connections are present in several applications on the mechanics, civil and aerospace industries. A framework consisting on an accurate and stable formulation to describe the dynamics of flexible systems with sliding connections is developed. The total Lagrangian positional approach of the Finite Element Method is employed using 2D solid and frame elements to discretize bodies and connections. This allows a wide range of applications, particularly the local modelling of joints. The proposed formulation includes roughness along sliding paths independent from the finite element geometry discretization. Following variational principles, Lagrange multipliers are used to impose sliding constraints on the equations of motion. A direct time integration is performed by the generalized-α method and its stability in the present finite deformation context is evaluated. The resulting nonlinear equations are solved by the Newton-Raphson method. Examples are presented where the proposed framework is evaluated regarding its dynamical behavior and to solve practical scenarios for which sliding modelling is a necessity.

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Alternative finite strain viscoelastic models: constant and strain rate-dependent viscosity

Hayashi,

Coda

2024

Acta Mech

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Flexible actuator finite element applied to spatial mechanisms by a finite deformation dynamic formulation

Cited by 5 publications

References 35 publications

Improved friction model applied to plane sliding connections by a large deformation FEM formulation

Improved friction model applied to plane sliding connections by a large deformation FEM formulation

Dynamical analysis of sliding connections with mesh independent roughness by a total Lagrangian FEM

Alternative finite strain viscoelastic models: constant and strain rate-dependent viscosity

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