Instantaneous Centre method of Velocity Analysis - Four bar mechanism | Four bar IC method | KTU MOM

Mohith Dadu2 minutes read

The text discusses the incendiary center method of velocity analysis, explaining how to determine instantaneous centers for different types of motion in a mechanism and calculate angular velocities for various links using Kennedy's theorem and scale measurements. The angular velocity of link BC is found to be 6.28 radians per second, showcasing the application of the method in velocity analysis for a 4-bar mechanism.

Insights

  • The incendiary center method of velocity analysis involves identifying different types of motion in a mechanism: pure rotation, pure translation, and general plane motion, each requiring the determination of instantaneous centers for precise analysis.
  • Kennedy's theorem plays a crucial role in aligning instantaneous centers and understanding the intricate relationships between them, facilitating the calculation of angular velocities for various links within a mechanism, exemplified by the 4-bar mechanism with 6 instantaneous centers.

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Recent questions

  • What is the incendiary center method of velocity analysis?

    It involves considering pure rotation, pure translation, and general plane motion in a mechanism.

  • How many instantaneous centers are there in a mechanism with 'n' links?

    'n * (n-1) / 2', resulting in 6 centers for a 4-bar mechanism.

  • How is the angular velocity of a link calculated using the instantaneous center method?

    By considering the velocities of points B and C and their distances from the instantaneous center.

  • What is Kennedy's theorem used for in the incendiary center method?

    For straight-line alignment of the instantaneous centers.

  • How is the angular velocity of link BC calculated in a 4-bar mechanism?

    By using the configuration diagram and scale measurements to determine the angular velocity as 6.28 radians per second.

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Summary

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Instantaneous Center Method in Velocity Analysis

  • The incendiary center method of velocity analysis involves considering different types of motion in a mechanism: pure rotation, pure translation, and general plane motion.
  • For pure rotation, the instantaneous center is marked as 'i' and located at the point of rotation, such as point 'a' for link 2.
  • Pure translation involves a linear path equivalent to circular motion with an infinite radius of curvature, placing the instantaneous center at infinity.
  • General plane motion, like in link AB, requires locating the instantaneous center by drawing perpendiculars to the velocity vectors of points A and B.
  • The number of instantaneous centers in a mechanism with 'n' links is given by 'n * (n-1) / 2', resulting in 6 centers for a 4-bar mechanism.
  • Naming and locating the 6 instantaneous centers involves understanding their relationships and using Kennedy's theorem for straight-line alignment.
  • To find the angular velocity of link BC, the velocities of points B and C are crucial, determined by their perpendicular velocity vectors and distances from the instantaneous center.
  • Using the configuration diagram and scale measurements, the angular velocity of link BC is calculated as 6.28 radians per second.
  • The velocity of point C can also be used to find the angular velocity of link CD, showcasing the application of the instantaneous center method in velocity analysis for a 4-bar mechanism.
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