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Related Concept Videos

Method of Joints: Problem Solving II01:30

Method of Joints: Problem Solving II

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Consider a truss structure with frictionless joints fixed to a wall and roller support. If a force of 150 N is applied to joint A, the forces in each member of the truss can be determined using the method of joints.
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In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the...
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Understanding the calculations and concepts related to double-collar bearings is essential for engineers and designers to optimize the performance of these components in various applications. By analyzing the bearing under different conditions, one can ensure that it can withstand the forces and moments experienced during operation. This knowledge enables better decision-making when designing and selecting bearings for specific purposes and configurations. Consider a double-collar bearing with...
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The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint. Consider a truss structure with two forces of 20 N and 10 N acting at joints C and D, respectively. The method of joints can be used to determine the forces FCB, FDC,...
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The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
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Error estimation and compensation in 4R and P3R closed-chain mechanisms due to joint clearance: a comparative study.

Ankur Jaiswal1, Darren Alton Dsouza2, H P Jawale3

  • 1Department of Mechatronics, Manipal Institute of Technology, Manipal Academy of Higher Education (MAHE), Manipal, 576104, Karnataka, India. ankur.jaiswal@manipal.edu.

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|October 15, 2025
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Summary

Joint clearance in planar mechanisms causes non-uniform errors. Four-revolute (4R) mechanisms are more robust than prismatic-revolute (P3R) designs, suggesting revolute joints are better for reducing robotic manipulator inaccuracies.

Keywords:
CAD modelJoint clearanceKinematic formulationMathematical approachR-type and P-type mechanismsTrajectory generationValidation

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Area of Science:

  • Mechanical Engineering
  • Robotics
  • Mechanism Design

Background:

  • Four-bar linkages are fundamental in planar mechanisms.
  • Joint clearance is a key source of performance deviations.
  • Understanding clearance effects is crucial for accurate mechanism operation.

Purpose of the Study:

  • To assess the performance of 4R and P3R planar mechanisms with joint clearance.
  • To compare the impact of clearance on trajectory generation for different joint types.
  • To develop a methodology for mechanical error analysis and compensation.

Main Methods:

  • Detailed mechanical error analysis and compensation methodology.
  • Comparative performance evaluation of 4R and P3R configurations.
  • Trajectory generation tasks under identical conditions.

Main Results:

  • Joint clearance induces non-uniform positional errors, challenging existing assumptions.
  • The 4R mechanism demonstrates superior robustness and lower sensitivity to clearance errors compared to P3R.
  • Positional inaccuracies are significantly influenced by the type of joint actuation.

Conclusions:

  • Revolute joint-based actuation is preferable to prismatic actuation for minimizing positional inaccuracy in robotic manipulators.
  • The study provides a generalized framework for assessing and mitigating mechanical inaccuracies in mechanisms.
  • Findings offer insights for designing more precise and reliable robotic systems.