This circuit can either be used as a subsystem or appropriate boundary/terminal conditions can be applied to get the displacement/forces on the components. Mass can be assigned between ports 1 and 2, and the spring and damper can be located between ports 2 and 3 (see the image below). For example, if a mass, spring, and damper are connected in parallel, the circuit will be comprised of three ports (1, 2, and 3). To model a mechanical circuit in the COMSOL® software, the first step is to create the circuit and label all of its ports. Implementing a Lumped Mechanical Circuit in COMSOL Multiphysics® The equivalent systems are shown in the figure below. This analogy with an electrical system is popularly known as the mobility analogy, in which the velocity computed from the mechanical system (by the application of force) is equivalent to the current obtained from the electrical system (by the application of voltage). The mass is an inertial element and equivalent to an inductance. The damper acts as a dissipative element and is equivalent to a resistor. Consider a mass-spring-damper system, where the spring acts as a storage element and is equivalent to a capacitor in an electrical circuit. Let’s discuss the electrical analogy in little more detail. These kinds of analogies are very helpful when defining electromechanical systems, since such systems have a connection between electrical and mechanical parts. The impedance analogy makes the force and voltage analogous, whereas mobility makes velocity and current analogous. Numerous analogies are theoretically possible, but two analogies are widely used: impedance and mobility.įor a mechanical system, impedance is the ratio of force and velocity, whereas mobility is the ratio of velocity and force (=1/impedance). These analogies are developed to find a relationship between identical mathematical variables used in mechanical and electrical physics.
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