Nonlinear phenomena of contact in multibody systems dynamics: a review

Corral, Eduardo; Moreno, Raúl Gismeros; Gómez, María José; Castejón, Cristina

doi:10.1007/s11071-021-06344-z

Cited by 67 publications

(42 citation statements)

References 180 publications

(281 reference statements)

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“…The first kind of system is marked by defining unilateral constraints when formulating the dynamic equations to obtain the values of the normal forces and this occurs under the premise of avoiding penetration from happening. Only a small value of indentation can occur in order to detect the initial time of contact, which is not subsequently used to obtain the value of the impulse [45]. Nevertheless, these kinds of modelling often causes problems when dealing, for example, with friction phenomena or, in some specific cases for instance, when characterizing permanent or intermittent contacts [6,46,47].…”

Section: Non-smooth Methodsmentioning

confidence: 99%

“…Nevertheless, these kinds of modelling often causes problems when dealing, for example, with friction phenomena or, in some specific cases for instance, when characterizing permanent or intermittent contacts [6,46,47]. On the other hand, methods based on the DVI stand out for working reasonably well with multiple simultaneous contacts/impacts models [45]. However, their main handicap resides in the remarkable complexity of their algorithmic procedures [43,48].…”

Section: Non-smooth Methodsmentioning

confidence: 99%

“…Compared to non-smooth approaches, contact-force-based models are proposed and they are also known as penalty [49], compliant [50] or regularized [51] models. Penalty methods are marked by their simplicity, computational efficiency and ease of implementation [45,52]. In these models, contact forces are defined as continuous functions of the relative indentation of the contacting bodies (which are assumed to be deformable bodies) and its time derivatives [49,53].…”

Section: Penalty Methodsmentioning

confidence: 99%

“…Most of the expressions that define these models are comprise of two components, one related to the elastic component (spring) and another associated to energy dissipation (damper). These equations depend on the material properties of the bodies, the surface geometry, the relative velocity between them, the value of the relative indentation and the coefficient of restitution, which quantifies the energy dissipation of the process [45]. These forces are responsible for preventing penetra-tion between the bodies from occurring, rendering the definition of unilateral constraints unnecessary.…”

Section: Penalty Methodsmentioning

confidence: 99%

“…The contact evaluation at each instant of the dynamic analysis involves the calculation of three elements [54]: the position of the potential points of contact in each body, their Euclidean distance (vector → d) and the relative normal velocity. These three quantities are used by almost all existing contact force models [45]. Positive values of this distance represent a separation state, while negative values reflect penetration occurring between the bodies.…”

Section: Contact Formulation In Penalty Modelsmentioning

confidence: 99%

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Spatial Algorithms for Geometric Contact Detection in Multibody System Dynamics

et al. 2021

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In the present work, different algorithms for contact detection in multibody systems based on smooth contact modelling approaches are presented. Beginning with the simplest ones, some difficult interactions are subsequently introduced. In addition, a brief overview on the different kinds of contact/impact modelling is provided and an underlining of the advantages and the drawbacks of each of them is determined. Finally, some practical examples of each interaction are presented and analyzed and an outline of the issues arisen during the design process and how they have been solved in order to obtain stable and accurate results is given. The main goal of this paper is to provide a resource for the early-stage researchers in the field that serves as an introduction to the modelling of simple contact/impact events in the context of multibody system dynamics.

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Section: Non-smooth Methodsmentioning

confidence: 99%

Section: Non-smooth Methodsmentioning

confidence: 99%

Section: Penalty Methodsmentioning

confidence: 99%

Section: Penalty Methodsmentioning

confidence: 99%

Section: Contact Formulation In Penalty Modelsmentioning

confidence: 99%

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Spatial Algorithms for Geometric Contact Detection in Multibody System Dynamics

et al. 2021

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Nonlinear wave in granular systems based on elastoplastic dashpot model

Wang

Liu

2021

Int Journal of Mech Sys Dyn

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The dynamic dashpot models are widely used in EDEM commercial software.However, most dashpot models suffer from a serious numerical issue in calculating the granular chain because the denominator of damping force includes the initial impact velocity. Moreover, the existing dynamic dashpot models extended from the original Hertz contact law overestimated the contact stiffness in the elastoplastic contact phase. These two reasons above result in most dynamic dashpot models confronting some issues in calculating the multiple collision of the granular chain. Therefore, this investigation aims to propose a new composite dynamic dashpot model for the dynamic simulation of granular matters. First, the entire contact process is divided into three different phases: elastic, elastoplastic, and full plastic phases. The Hertz contact stiffness is still used in the elastic contact phase when the contact comes into the elastoplastic or full plastic phase. Hertz contact stiffness in the dynamic dashpot model is replaced by linearizing the contact stiffness from the Ma-Liu (ML) model in each time step. Second, the whole contact behavior is treated as a linear mass-spring-damper model, and the damping factor is obtained by solving the single-degree-freedom underdamped vibration equation. The new dynamic dashpot model is proposed by combining the contact stiffnesses in different contact phases and corresponding damping factors, which not only removes the initial impact velocity from the denominator of damping force but also updates the contact stiffness based on the constitutive relation of the contact body when the contact comes into the elastoplastic or full plastic phase. Finally, a granular chain is treated as numerical examples to check the reasonability and effectiveness of the new dynamic dashpot model by comparing it to the experimental data. The simulation shows that the solitary waves obtained using the new dashpot model are more accurate than the dashpot model used in EDEM software.

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Numerical and experimental study on dynamics of the planar mechanical system considering two revolute clearance joints

Bai

Zhao

2021

Int Journal of Mech Sys Dyn

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Due to assembly, wear and manufacturing errors and clearance in the joints are inevitable. When the clearance is introduced into a mechanical system, the impact force in the clearance joint will cause undesirable vibration of the system. In this paper, the dynamic responses of the mechanical system with two revolute clearance joints are studied using computational and experimental methodology. The clearance joint is considered as force constraint. The normal contact force and tangential friction force between the journal and bearing in a clearance joint are modeled using a nonlinear contact force model considering energy loss and a modified Coulomb friction model considering a dynamic friction coefficient, respectively. A planar slider-crank mechanism with two revolute clearance joints is used to implement the study. The dynamic responses obtained from numerical simulation are compared with the experimental test. Numerical simulations and experimental tests for different clearance sizes and crank speeds are presented and discussed, respectively.The simulation results agree quite well with those of the experiment for different cases, which proves the accuracy and efficiency of the computational method for dynamics analysis of the mechanical system with two revolute clearance joints in this study. The investigation indicates that the clearances in revolute joints significantly affect the dynamic characteristics of mechanical systems, which must be considered in the precision analysis, design, and control of multibody systems, especially for high-speed machinery.

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Nonlinear phenomena of contact in multibody systems dynamics: a review

Cited by 67 publications

References 180 publications

Spatial Algorithms for Geometric Contact Detection in Multibody System Dynamics

Spatial Algorithms for Geometric Contact Detection in Multibody System Dynamics

Nonlinear wave in granular systems based on elastoplastic dashpot model

Numerical and experimental study on dynamics of the planar mechanical system considering two revolute clearance joints

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