Balancing


Balancing

Balancing of V-Engines

A V-engine is a two cylinder engine, which has a common crank and the axis of cylinder makes a "V" shape. Since V-engines have a common crank and the crank revolves in one plane, there is no primary or secondary couple acting on the engine.

Balancing of V-Engines
8 min read
Concept of Direct and Reverse Crank for V-engines & Radial engines

The method of direct and reverse cranks is applicable on reciprocating engines i.e V engines, radial engines, etc in which the piston performs reciprocating motion.

Concept of Direct and Reverse Crank for V-engines & Radial engines
5 min read
Static and Dynamic Balancing

The method of direct and reverse cranks is applicable on reciprocating engines i.e V engines, radial engines, etc in which the piston performs reciprocating motion.

Static and Dynamic Balancing
2 min read
Multi Cylinder Inline Engine (with firing order) | Numerical

Basic knowledge about Firing Order - The firing order is a sequence of giving spark/firing to the cylinders of multi-cylinder inline engines. Firing order is provided in multi-cylinder inline engines in order to avoid vibrations

Numerical
Multi Cylinder Inline Engine (with firing order) | Numerical
5 min read

Vibration


Vibration

Critically Damped System (ξ = 1)

Critically damped system(ξ=1): If the damping factor `ξ` is equal to one, or the damping coefficient `c` is equal to critical damping coefficient, then the system is said to be a critically damped system

Derivation
Critically Damped System (ξ = 1)
2 min read
Damped free Vibration - Numerical 1

A mass of 85 kg is supported on a spring which deflects 18 mm under the weight of the mass. The vibrations of the mass are constrained to be linear and vertical. A dashpot is provided which reduces the amplitude to one-quarter of its initial value in two complete oscillations. Calculate magnitude of the damping force at unit velocity and periodic time of damped vibration.

Numerical
Damped free Vibration - Numerical 1
3 min read
Damped free Vibration - Numerical 4

Numerical: A door along with door-closing system shown is shown in the figure below. It has a moment of inertia of $25 kg sdot m^2$ about the hinge axis. If the stiffness of torsional spring is $20 N m/rad$, find the most suitable value of the damping coefficient.

Numerical
Damped free Vibration - Numerical 4
2 min read
Logarithmic Decrement (​δ)

Logarithmic decrement is defined as the natural logarithm of the ratio of successive amplitude on the same side of mean position. The rate of decay in the amplitudes of under-damped system is measured by the parameter known as logarithmic decrement.

Derivation
Logarithmic Decrement (​δ)
4 min read
Over-Damped System (​ξ>1)

We know that the characteristic equation of the damped free vibration system is, mS^2 + cS + K = 0. This is a quadratic equation having two roots S1 and S2

Derivation
Over-Damped System (​ξ>1)
7 min read
Under-Damped System (​ξ < 1)

Under damped system (ξ < 1) If the damping factor ξ is less than one or the damping coefficient c is less than critical damping coefficient, then the system is said to be an under-damped system.

Derivation
Under-Damped System (​ξ < 1)
3 min read