scholarly journals Four - bar linkage mechanisms with continuous friction model in joint clearance

2021 ◽  
Author(s):  
Mahdi Bamdad ◽  
Amirhosein Javanfar
Keyword(s):  
Tangential Velocity ◽  
Friction Model ◽  
Contact Forces ◽  
System Response ◽  
Linkage Mechanism ◽  
Clearance Joints ◽  
Clearance Joint ◽  
Friction Models ◽  
Four Bar Linkage ◽  
The Impact

Abstract Clearance joint widely occurs in the components of mechanical systems as evidence of manufacturing errors. Since a proper set of parameters in the contact and friction model could lead to a higher precision of clearance analysis, the effect of friction models when surfaces collide with a non-zero tangential velocity is examined. Unlike the crank mechanism, a double rocker four - bar linkage mechanism as a challenging problem in the impact mode is analyzed. An investigation on the dynamic modeling and analysis of double rocker four - bar linkage mechanisms with frictional revolute clearance joints is presented. In the presence of clearance joints, asserting friction force, a novel formulation of the contact model is proposed after exploring the perfect continuous friction models with easy parameterization and analyzing the applicable compliant contact force models. The perfect continuous friction models including stribeck effect, static, dynamic, and viscous friction terms are studied, and four friction models (Ambrosio, Threlfall, Anderson and Brown) are thoroughly compared. Using an appropriate model, nonlinear dynamic behaviour is examined and to profit by Poincare portrait; it is proven that either strange chaos exists in the system response. FFT analysis expresses the friction and restitution coefficient influence the nonlinear dynamics of the mechanism significantly. The main consideration here is to present a friction model for improving continuity and computational cost. This paper comes to efficiency of the brown friction model which is used in the clearance joint for first time. The results clearly reveal that the angular accelerations of the links and the contact forces in the continuous friction models are smoother and bounded.

Dynamic analysis of a planar multibody system with multiple revolute clearance joints

2018 ◽  
Vol 233 (10) ◽  
pp. 3429-3443 ◽  
Author(s):  
Xupeng Wang ◽  
Wenzhou Lin ◽  
Xiaomin Ji ◽  
Zhu Gao ◽  
Xiaobo Bai ◽  
...  
Keyword(s):  
Multibody System ◽  
Dynamic Responses ◽  
Force Model ◽  
Nonlinear Phenomenon ◽  
Linkage Mechanism ◽  
Clearance Joints ◽  
Clearance Joint ◽  
Four Bar Linkage ◽  
The Impact ◽  
The Ideal

This paper focuses on the dynamic responses of a planar mechanism with multiple clearance joints. The effect of the impact between the journal and the bearing in the clearance joint is described using an improved impact force model, and a typical four-bar linkage mechanism with multiple clearance joints is presented as an example. Two conditions are considered in this research, one is the single clearance joint with different position, and the other is multiple clearance joints. From a large number of numerical results, some important conclusions are obtained as follows: (1) with the influence of the clearance joint, the dynamic output of system has obvious vibration in comparison to the ideal value. (2) The position of the clearance joint has a clear effect on the response of system; the larger the distance of the clearance joint from the drive motor, the smaller its influence on the output of the system. (3) With the increase in the clearance joint number, the dynamic stability of the multibody system is decreased gradually, and the dynamic characteristic of the system also appears as obvious nonlinear phenomenon. (4) The coupling phenomenon appears when multiple clearance joints in the multibody system are considered, which should be examined seriously during the process of design and numerical analysis.

Effect of novel continuous friction model on nonlinear dynamics of the mechanisms with clearance joint

2021 ◽  
pp. 095440622110634
Author(s):  
Amirhosein Javanfar ◽  
Mahdi Bamdad
Keyword(s):  
Dynamic Response ◽  
High Speed ◽  
Tangential Velocity ◽  
Dynamic Modelling ◽  
Friction Model ◽  
Joint Clearance ◽  
The Novel ◽  
Linkage Mechanism ◽  
Four Bar Linkage ◽  
The Impact

A general methodology for the dynamic modelling and analysis of planar multi-body systems with a continuous friction model in joint clearance is presented. Joint clearance is the critical factor that influences the dynamic response and the performance of mechanisms for high-speed application. In light of recent developments in the joint clearance studies, the number of contact force models has been introduced with ignoring friction continuity. The selection of an appropriate continuous friction model is still challenging and essential, which requires further development. Therefore, a perfect continuous friction model, including the Stribeck effect, static, dynamic and viscous friction terms, is proposed and validated. Investigating the dynamic modelling and analysis of double rocker four-bar linkage mechanisms with frictional revolute clearance joints is presented to investigate friction models' effect when surfaces collide with a non-zero tangential velocity. Unlike the smooth crank input mechanism, a double rocker four-bar linkage mechanism is analysed as a challenging problem in the impact mode. Resolving this concern, the novel friction model avoids discontinuity at zero velocity considering the accurate static friction zone. The results reveal that the novel friction model, compared with the piecewise friction model, is more effective in reflecting the mechanical systems' dynamic behaviour. In order to grasp the nonlinear characteristics of the high-speed four-bar linkage mechanism with our model in joint clearance, the Poincaré portrait, and Fast Fourier transformation plot are employed. It is proved that chaos exists in the dynamic response with the influence of the restitution coefficients and kinetic coefficient of friction.

scholarly journals Dynamics of Multibody Systems With Spherical Clearance Joints

2005 ◽  
Author(s):  
P. Flores ◽  
J. Ambro´sio ◽  
J. C. P. Claro ◽  
H. M. Lankarani
Keyword(s):  
Contact Force ◽  
Multibody Systems ◽  
Contact Forces ◽  
Force Model ◽  
Clearance Joints ◽  
Continuous Contact ◽  
Clearance Joint ◽  
Contact Force Model ◽  
Dynamics Of Multibody Systems ◽  
The Impact

This work deals with a methodology to assess the influence of the spherical clearance joints in spatial multibody systems. The methodology is based on the Cartesian coordinates, being the dynamics of the joint elements modeled as impacting bodies and controlled by contact forces. The impacts and contacts are described by a continuous contact force model that accounts for geometric and mechanical characteristics of the contacting surfaces. The contact force is evaluated as function of the elastic pseudo-penetration between the impacting bodies, coupled with a nonlinear viscous-elastic factor representing the energy dissipation during the impact process. A spatial four bar mechanism is used as an illustrative example and some numerical results are presented, being the efficiency of the developed methodology discussed in the process of their presentation. The results obtained show that the inclusion of clearance joints in the modelization of spatial multibody systems significantly influences the prediction of components’ position and drastically increases the peaks in acceleration and reaction moments at the joints. Moreover, the system’s response clearly tends to be nonperiodic when a clearance joint is included in the simulation.

scholarly journals Dynamics of Multibody Systems With Spherical Clearance Joints

2006 ◽  
Vol 1 (3) ◽  
pp. 240-247 ◽  
Author(s):  
P. Flores ◽  
J. Ambrósio ◽  
J. C. P. Claro ◽  
H. M. Lankarani
Keyword(s):  
Contact Force ◽  
Multibody Systems ◽  
Contact Forces ◽  
Force Model ◽  
Clearance Joints ◽  
Continuous Contact ◽  
Clearance Joint ◽  
Contact Force Model ◽  
Dynamics Of Multibody Systems ◽  
The Impact

This work deals with a methodology to assess the influence of the spherical clearance joints in spatial multibody systems. The methodology is based on the Cartesian coordinates, with the dynamics of the joint elements modeled as impacting bodies and controlled by contact forces. The impacts and contacts are described by a continuous contact force model that accounts for geometric and mechanical characteristics of the contacting surfaces. The contact force is evaluated as function of the elastic pseudo-penetration between the impacting bodies, coupled with a nonlinear viscous-elastic factor representing the energy dissipation during the impact process. A spatial four-bar mechanism is used as an illustrative example and some numerical results are presented, with the efficiency of the developed methodology discussed in the process of their presentation. The results obtained show that the inclusion of clearance joints in the modelization of spatial multibody systems significantly influences the prediction of components’ position and drastically increases the peaks in acceleration and reaction moments at the joints. Moreover, the system’s response clearly tends to be nonperiodic when a clearance joint is included in the simulation.

scholarly journals Dynamic Responses of Planar Multilink Mechanism considering Mixed Clearances

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Xiulong Chen ◽  
Shuai Jiang ◽  
Yu Deng
Keyword(s):  
Great Influence ◽  
Friction Model ◽  
Contact Forces ◽  
Dynamic Responses ◽  
Prototype Model ◽  
Planar Mechanisms ◽  
Coulomb’S Friction ◽  
Revolute Joints ◽  
Friction Models ◽  
Coulomb Friction Model

Translational and revolute joints are the main kinds of joints in planar multilink mechanisms. Translational and revolute clearance joints have great influence on dynamical responses of planar mechanisms. Most research studies mainly focused upon revolute clearance of planar mechanisms based upon the modified Coulomb friction model, some studies investigated clearance of the pin-slot joint, and few studies researched mixed clearances (considering both translational clearance and revolute clearance) based on the LuGre friction model. Dynamic response of the 2-DOF nine-bar mechanism considering mixed clearances based on the LuGre model is investigated in this work. The dynamic model with mixed clearances is built by the Lagrange multipliers. Dynamic responses including motion output of the slider, driving torques, contact forces, shaft center trajectories at revolute clearance pairs, and slider trajectory inside the guide are analyzed, respectively. Influences of different friction models on dynamic responses are studied, such as LuGre and modified Coulomb’s friction models. Effects of different clearance values and different driving speeds on dynamic responses with mixed clearances are both analyzed. Virtual prototype model considering mixed clearances is carried out through ADAMS to verify correctness.

scholarly journals A new impact dynamics model of a clearance joint considering the adhesive effects in space environment

2020 ◽  
Vol 306 ◽  
pp. 01005
Author(s):  
Ruiting Tong ◽  
Zefen Quan ◽  
Qi Wan ◽  
Xiaojun Fu ◽  
Geng Liu
Keyword(s):  
Hybrid Model ◽  
Contact Process ◽  
Contact Forces ◽  
Space Environment ◽  
Impact Dynamics ◽  
Force Model ◽  
Dynamics Model ◽  
Clearance Joint ◽  
The Impact ◽  
Adhesive Forces

In space environment, there is severe adhesive effect, and the impact contact process shows different phenomenon due to the adhesive forces. In this paper, a new impact dynamics model of a clearance joint is developed considering the adhesive effects. The Hertz contact model, L-J potential and Dugdale model are combined, and an adhesive force term is included in the original hybrid contact force model. Taking a clearance joint as an example, the theory of adhesive forces during the impact contact process is given, and the influence of the adhesive forces is investigated. Negative forces are discovered at the beginning of the contact, and the contact forces of the modified model are higher than the hybrid model. Besides, the indentation depth is also higher than the hybrid model. The energy conservation principle is employed to explain the phenomena, and the contact forces will be underestimated if the adhesive effects are ignored. This work could be contributed to estimating the contact forces and friction forces more reasonablely in the space environment.

Dynamic characteristics of planar linear array deployable structure based on scissor-like element with differently located revolute clearance joints

2017 ◽  
Vol 232 (10) ◽  
pp. 1759-1777 ◽  
Author(s):  
Bo Li ◽  
San-Min Wang ◽  
Viliam Makis ◽  
Xiang-Zhen Xue
Keyword(s):  
Mechanical System ◽  
Dynamic Characteristics ◽  
Equations Of Motion ◽  
Nonlinear Behavior ◽  
Friction Model ◽  
Dynamic Responses ◽  
Force Model ◽  
Clearance Joints ◽  
Deployable Structure ◽  
Clearance Joint

This paper comprehensively investigates the parametric effects of differently located revolute clearance joints on the dynamic behavior of planar deployable structure based on scissor-like element. Considering the real physical mechanical joints, the normal and the tangential forces in the revolute clearance joints are respectively modeled using Flores contact-force model and LuGre friction model. The resulting forces and moments are embedded in the equations of motion of the scissor deployable structure for accurately describing the effect of joint clearance and governing the dynamic response of this structure. The effects of the main parameters such as the location of the clearance joint, the clearance size and the number of clearance joints on the dynamic characteristics of a multibody mechanical system have been numerically evaluated, and the results indicate that joints at different locations in a mechanical system have different sensitivities to the clearance size, and the more sensitive joint should be controlled to reduce the nonlinear behavior of this structure. Also, it can be concluded that the motion in one revolute clearance joint will affect the motion in the other clearance joints and the dynamic interaction of clearance joints is the important source of structural behavior change. Therefore, in order to accurately predict the dynamic responses of the mechanical system, the clearance effect of each joint on the multibody system should be investigated and understood.

scholarly journals Impact Behavior of a Rotating Rigid Body with Impact and Viscous Friction

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Dorian Cojocaru ◽  
Dan B. Marghitu
Keyword(s):  
Viscous Friction ◽  
Friction Model ◽  
Contact Forces ◽  
Hertzian Contact ◽  
Impact Behavior ◽  
Element Analysis ◽  
Friction Parameters ◽  
Friction Function ◽  
Coulomb Dry Friction ◽  
The Impact

The impact between a rotating link and a solid flat surface is considered. For the impact, we consider three distinct periods: elastic period, elastoplastic period, and restitution period. A Hertzian contact force is considered for the elastic period. Nonlinear contact forces developed from finite element analysis are used for the remaining two phases. The tangential effect is taken into account considering a friction force that combines the Coulomb dry friction model and a viscous friction function of velocity. Simulations results are obtained for different friction parameters. An experimental setup was designed to measure the contact time during impact. The experimental and simulation results are compared for different lengths of the link.

Wave Analysis of Planar Deployable Structures with Revolute Clearance Joints Based on Spectral Element Method

2018 ◽  
Vol 10 (08) ◽  
pp. 1850090 ◽  
Author(s):  
Xiao-Fei Ma ◽  
Tuan-Jie Li
Keyword(s):  
Spectral Element Method ◽  
Impact Load ◽  
Spectral Element ◽  
Wave Analysis ◽  
Clearance Joints ◽  
Revolute Clearance Joint ◽  
Planar Structures ◽  
Clearance Joint ◽  
The Impact ◽  
Element Method

Clearance is inevitable in the deployable mechanisms due primarily to the kinematic function requirements. This phenomenon affects the dynamic performances of deployed structures negatively. In this paper, the wave analysis of dynamic characteristics of planar structures with revolute clearance joints is developed by spectral element method. First, the spectral element model of revolute clearance joints is established. The radial and tangential springs and damping coefficients of revolute clearance joints are evaluated based on the contact model of elastic foundation. Then, the wave equations of two beams connected by a revolute clearance joint are derived, and extended to the case of multiple beams connected by revolute clearance joints. Finally, the dynamic response is analyzed for planar structures with single revolute clearance joint and multiple revolute clearance joints under the impact load. The wave propagation rules in planar structures with revolute clearance joints are revealed.

scholarly journals A Study on Clearance Effects on Dynamic Responses of Robot Manipulator

Mechanika ◽  
2021 ◽  
Vol 27 (2) ◽  
pp. 130-138
Author(s):  
Zhengfeng Bai ◽  
Tianxi LIU
Keyword(s):  
Contact Force ◽  
Robot Manipulator ◽  
Dynamic Responses ◽  
Joint Clearance ◽  
Force Model ◽  
Clearance Joints ◽  
Clearance Joint ◽  
Dynamic Performances ◽  
Simulation Results ◽  
The Impact

Clearances caused by assemblage, manufacturing errors and wear, affect inevitably the dynamic responses of mechanisms such as robot manipulator. In this study, the effects of clearance on a robot manipulator system are investigated numerically. The contact behavior along normal and tangential direction of clearance joint is described by a nonlinear contact force model and a modified Coulomb friction model respectively. Then, the dynamics equations of the robot manipulator system are established considering joint clearance. In order to investigate the effects of clearance on dynamic performances of practical mechanism, a planar robot manipulator system on a spacecraft system with a revolute clearance joint is used as the apply example. Four case studies for various clearance sizes are implemented to investigate and discuss the effects of joint clearance. The simulation results indicate that clearance joints have severe effects on the dynamic performances of mechanism system and the impact in clearance joints represented by contact force models must be considered in dynamics analysis and design of mechanism system. The simulation results in this work can predict the effects of clearance on robot manipulator system preferably and it is the basis of precision analysis, robust control system design of robot manipulator system.

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