What is the transfer function for a mass spring/damper system?

What is the transfer function for a mass spring/damper system?

G ( s ) = 1 M s 2 + B s + K.

How does a mass spring/damper system work?

When the spring’s energy is released, the spring will move about its equilibrium position until it reaches rest state. The damper in this system is used to dissipate some of the energy released by the spring such that the number and amplitude of the oscillations brought by the spring are reduced.

How do you find the transfer function of a circuit?

Concept of Transfer Function Hence the voltage and current of the circuit can be considered as input and output of the system respectively. From the circuit, we get, Now applying Laplace Transform, we get, The transfer function of the system, G(s) = I(s)/V(s), the ratio of output to input.

How do you use the equation of motion to transfer a function?

To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions). Recall that differentiation in the time domain is equivalent to multiplication by “s” in the Laplace domain. The transfer function is then the ratio of output to input and is often called H(s).

What is damper formula?

Damping coefficient is measure of effectiveness of damper, it reflects ability of damper to which it can resist the motion. Damping force is given by. F=−cdtdx.

What is B in mass spring/damper system?

The spring force is proportional to the displacement of the mass, x (k is the spring constant), and the viscous damping force is proportional to the velocity of the mass, v = ˙ x (b is the damping coefficient).

What is damper function?

A damper is a valve or plate that stops or regulates the flow of air inside a duct, chimney, VAV box, air handler, or other air-handling equipment. A damper may be used to cut off central air conditioning (heating or cooling) to an unused room, or to regulate it for room-by-room temperature and climate control.

Where are mass spring/damper systems used?

Spring-mass-damper systems can be found in many mechanical systems. One common example is the suspension of a car. The car itself is the mass; it is suspended by an elastic spring. A damper (the actual shock absorber) prevents oscillations.

What is a transfer function in control system?

In engineering, a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function which theoretically models the system’s output for each possible input. They are widely used in electronics and control systems.