What is free and forced response?

What is free and forced response?

The free response of a system is the solution of the describing differential equation of the system, when the input is zero. In our case the input into the system is the force F [N].

How do you get a forced response?

The forced response can be obtained as vf(t) = Vs. The total solution is obtained as: (1.34) The unknown coefficients K1 and K2 in cases 1 and 2 and K and θ in cases 3 and 4 can be calculated using the initial values on the current in the inductor and the voltage across the capacitor.

What is meant by natural response?

Natural response is the system’s response to initial conditions with all external forces set to zero.

What is unforced response?

The natural response is also known as the unforced response or characteristic response. The model differential equation for such a system is homogeneous, in that there is no forcing term. This is a statement about the solution of differential equations.

What is a forced system?

With forced systems the steady state appears to stay alive and active due to the external force. The transient solution in presence of damping decays axponentially and if the force is periodic the steady state borrows its period from the force.

What is meant by zero state response?

In electrical circuit theory, the zero state response (ZSR), is the behaviour or response of a circuit with initial state of zero. The ZIR results only from the initial state of the circuit and not from any external drive.

What is natural and force response?

The forced response is what the circuit does with the sources turned on, but with the initial conditions set to zero. The natural response is what the circuit does including the initial conditions, but with the input suppressed. The total response is the sum of the forced response plus the natural response.

What is meant by transient response?

In electrical engineering and mechanical engineering, a transient response is the response of a system to a change from an equilibrium or a steady state. The impulse response and step response are transient responses to a specific input (an impulse and a step, respectively).

What is homogeneous response?

– Homogeneous solution is also called the “natural response” It is the response to zero input. – The particular solution often takes on the form of the input. It is therefore referred to as the “forced response”

What is force in engineering?

Force – Any action applied to an object which would cause the object to move, change the way it is currently moving, or change its shape. A force can also be thought of as a push (compressive force) or pull (tensile force) acting on an object.

Is the complete response of a circuit a forced response?

For a constant driving source, it results in a constant forced response. the complete response of a circuit is the sum of a natural response and a forced response. Note: Such solutions can also be obtained using the Laplace transformation method (which we meet later) when initial conditions are given.

Which is the best definition of a forced response?

The forced response is defined to be a particular response corresponding to the steady-state response. I prefer this method because it generalizes to other forcing inputs. By the method of superposition where we split to the circuit based on the sources of energy, input energy and internal stored energy.

How is the forced response defined in Mathy?

By the mathy method of undetermined coefficients where we find and transient response and add it to the steady-state response. The transient response is a scaled version of the conventional natural response. The forced response is defined to be a particular response corresponding to the steady-state response.

Which is a scaled version of the natural response?

The transient response is a scaled version of the conventional natural response. The forced response is defined to be a particular response corresponding to the steady-state response. I prefer this method because it generalizes to other forcing inputs.