BALANCING MULTICYLINDER MACHINES

Reference …Theory of machines by Sadhu singh (eq. 10.12)

Where, = Primary shaking force

= Secondary shaking force

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.30)

Where = Inertial force associated with each piston

= Reciprocating mass for ith cylinder

= crank radius of ith cylinder

= connecting rod length for ith cylinder

= crank angular velocity

= position of piston axis for cylinder 1 relative to x axis

= angle at which each cylinder axis is oriented relative to the axis of cylinder 1

TO BALANCE THE PRIMARY AND SECONDRY SHAKING FORCES

TO BALANCE THE PRIMARY AND SECONDARY MOMENTS

= angle from crank 1 to crank i

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.33)

Where = x component of the inertia force

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.37)

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.34)

Where = y component of inertia force

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.39 to 15.42)

The above 4 equation balnced the primary shaking forces

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.43 to 15.46)

The above 4 eq. balanced the secondary shaking forces.

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.47)

Where = X component of shaking moment

= distance from the plane of cylinder 1 to the plane of cylinder i

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.48)

Where, = y component of shaking moment

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.49 to 15.52)

The above 4 eq. balance the primary shaking moment.

Reference……kinematics dynamics and design of machinery by Keneth J Waldron & Gary L Kinzel

(eq 15.53 to 15.56)

The above four equation is to balance secondary shaking moment.

REFERENCES

1. KINEMATICS DYNAMICS & DESIGN OF MACHINERY BY KENNETH J. WALDSON & GARY L. KINZEL (2003)

2. THEORY OF MACHINES BY SADHU SINGH (2002)

3. KINEMATICS AND DYNAMICS OF MACHINERY BY CHARLES E. WILSON & J PETER SADTER (2003)

ANUDEEP SRIVASTAVA

2011 H106127P