Instantaneous Centre method of Velocity Analysis - Four bar mechanism | Four bar IC method | KTU MOM
Mohith Dadu・2 minutes read
The text explains the incendiary center method of velocity analysis in mechanisms, detailing the process for determining instantaneous centers for different types of motion in a mechanism. It also demonstrates how to calculate angular velocities for specific links based on the velocity of points and instantaneous centers.
Insights
- The incendiary center method of velocity analysis breaks down motion in a mechanism into pure rotation, pure translation, and general plane motion, each requiring specific methods to determine the instantaneous center.
- The number of instantaneous centers in a mechanism with 'n' links can be calculated as 'n * (n-1) / 2', with distinct centers named and located between specific links, enabling the analysis of angular velocities within the mechanism.
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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 is the instantaneous center determined for pure rotation?
The instantaneous center for pure rotation is marked as 'i' and located at the point of rotation.
How is the instantaneous center located for pure translation?
Pure translation involves an infinite radius of curvature, placing the instantaneous center at infinity.
How many instantaneous centers are there in a mechanism with 'n' links?
The number of instantaneous centers in a mechanism with 'n' links is 'n * (n-1) / 2'.
How is the angular velocity of link BC determined?
The angular velocity of link BC is determined by analyzing the motion of links 2 and 4, with velocities marked as 'vb' and 'vc' respectively.
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Summary
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"Instantaneous Centers in Velocity Analysis of Mechanisms"
- 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.
- The 6 instantaneous centers are named and located between specific links, such as i12, i23, i34, i14, i13, and i24.
- The angular velocity of link BC is determined by analyzing the motion of links 2 and 4, with velocities marked as 'vb' and 'vc' respectively.
- The velocity of point B with respect to A is calculated as 3.14 m/s, leading to the evaluation of the angular velocity of link BC as 6.28 radians per second.
- To find the angular velocity of link CD, the velocity of point C is considered with respect to the instantaneous center i13, leading to the calculation of omega CD using the same method as for link BC.
