Balancing of Inline Engines Numericals - Balancing in Dynamics of Machinery - Dynamics of Machinery | Summary and Q&A

TL;DR

This video discusses how to balance a four-cylinder oil engine by calculating the reciprocating mass of cylinder 2 and the angular positions of the crank.

Key Insights

• 🚒 The stroke of an engine is equal to twice the radius of the crank.
• 💆 Balancing an inline engine requires finding the reciprocating mass of cylinder 2 and the angular positions of the crank.
• 🧘 Assuming a reference plane and relative angular positions simplifies the solving process.
• 🚥 Balancing both horizontal and vertical components is necessary for static balancing.
• 🧑‍🤝‍🧑 The primary forces and couples need to be balanced in a statically balanced system.
• 🧘 The values of theta 1 and theta 4 can have multiple solutions due to the relative positions.
• 🪜 Squaring and adding equations can help find the values of unknowns.

Transcript

hello everyone in this video we'll discuss a numerical of balancing of inline engines so the question says that it is a four cylinder oil engine so cylinder one two three and four the planes are given right and the arrangement of the reciprocating masses so that is given the planes are given basically one two three four and the stroke of piston is ... Read More

Questions & Answers

Q: How is the stroke of an engine defined?

The stroke of an engine refers to the distance moved by the piston from one extreme end to another extreme end. In this case, the stroke is equal to twice the radius of the crank.

Q: Why are the relative angular positions important in solving the problem?

The relative angular positions are important because they allow us to assume one angle as 0 degrees and find all the other angles relative to that. This simplifies the calculations and allows for easier solving of the unknowns.

Q: How are the equations for balancing the horizontal and vertical components derived?

The equations are derived by considering the couple equation and using the given masses, distances, and angular positions. The primary goal is to balance the primary forces and couples, ensuring that the vertical and horizontal components are also balanced.

Q: How are the values of theta 1 and theta 4 determined?

The values of theta 1 and theta 4 are determined by squaring and adding the equations for balancing horizontal and vertical components. The resulting values can be plugged back into the equations to find the specific angles.

Summary & Key Takeaways

• The video focuses on balancing a four-cylinder oil engine by finding the reciprocating mass of cylinder 2 and determining the angular positions of the crank.

• The stroke of the piston is equal to twice the radius of the crank, and the relative angular positions are used to solve the problem.

• The equations for balancing horizontal and vertical components are derived, and the values for theta 1 and theta 4 are found to solve for the unknowns.