Control systems mechanical analogies

  • What is analogy in control system?

    The electrical equivalent systems of mechanical systems are called as Analogous Systems.
    It is possible to draw an electrical system which will behave exactly similar to the given mechanical system.
    It is called as the Electrical Analogous of the given mechanical system..

  • What is the analogy between mechanical systems and electrical systems?

    To apply this analogy, every loop in the electrical circuit becomes a point in the mechanical system.
    Resistors become friction elements, capacitors become springs and inductors become masses.
    Sources must also be transformed.
    A current source becomes an input velocity, and a voltage source becomes a force generator..

  • What is the analogy to current in the mechanical system?

    Current and Flow: Electrical current is the flow of electrons through a circuit, similar to how fluid flows through a pipe.
    Resistance and Friction: Electrical resistance is the opposition to the flow of current in a circuit, similar to how friction resists the movement of a mechanical system..

  • What is the analogy to current in the mechanical system?

    The mechanical analogy of electrical resistance is the loss of energy of a moving system through such processes as friction.
    A mechanical component analogous to a resistor is a shock absorber and the property analogous to resistance is damping..

  • What is the analogy to resistance in the mechanical system?

    Series RLC circuit A series RLC electrical circuit is exactly analogous to a mechanical mass-spring-dashpot system..

  • What is the analogy to resistance in the mechanical system?

    The method is simple and straightforward.
    First, the dynamic equations of the mechanical system are derived into matrix form.
    These equations are then translated to the electrical domain by means of the electromechanical analogy and, finally, the electrical circuit is obtained by direct inspection of the matrices..

  • Series RLC circuit A series RLC electrical circuit is exactly analogous to a mechanical mass-spring-dashpot system.
Electrical systems and mechanical systems are two physically different systems. There are two types of electrical analogies of translational mechanical systems.

Applications

Mechanical–electrical analogies are used to represent the function of a mechanical system as an equivalent electrical system by drawing a…

Forming an analogy

Electrical systems are commonly described by means of a circuit diagram. These are network diagrams that describe the topology of the electrical sy…

Classes of analogy

There are two principle classes of analogy in use. The impedance analogy (also called the Maxwell analogy) preserves the analogy between mechanic…

Transducers

A transducer is a device that takes energy from one domain as input and converts it to another energy domain as output. They are often reversib…

History

James Clerk Maxwell developed very detailed mechanical analogies of electrical phenomena. He was the first to associate force with voltage (1…

How can analogy electrical system be used as simulation model?

1-The analogies electrical system can be easily used as simulation model to the mechanical system

This can be done with taking the mass, dampers and springs in the damper mass spring system to the corresponding capacitance, resistors and inductive elements in the analogy electrical ( RLC) circuit

What are mechanical to electrical analogies?

In fact the mechanical to electrical analogies can be defined as the representation of the mechanical systems using electrical networks

Such analogies were firstly utilized in reverse engineering to understand different electrical phenomena in familiar mechanical terms

What is an analogy system?

This approach was implemented for different engineering system such as hydraulic or pneumatic systems depending on analyzing their electrical analog model

In other words the analogy system provides an alternative method to deal with the system experimentally instead of building and studying the specified mechanical system

Control systems mechanical analogies
Control systems mechanical analogies

Device in the study of mechanical networks in control theory

In the study of mechanical networks in control theory, an inerter is a two-terminal device in which the forces applied at the terminals are equal, opposite, and proportional to relative acceleration between the nodes.
Under the name of J-damper the concept has been used in Formula 1 racing car suspension systems.

Analogy representing a mechanical system by an electrical one


The mobility analogy, also called admittance analogy or Firestone analogy, is a method of representing a mechanical system by an analogous electrical system.
The advantage of doing this is that there is a large body of theory and analysis techniques concerning complex electrical systems, especially in the field of filters.
By converting to an electrical representation, these tools in the electrical domain can be directly applied to a mechanical system without modification.
A further advantage occurs in electromechanical systems: Converting the mechanical part of such a system into the electrical domain allows the entire system to be analysed as a unified whole.

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