# There are two basic principles that a system can be approached by the continuous matter or modular

600 WordsApr 23, 20193 Pages
There are two basic principles that a system can be approached by; the continuous matter or modular approach and the discrete matter or lumped mass approach (Holroyd, 2007). Generally, when a mass can be defined as a rigid body or, in other words, when a system have a finite number of degrees of freedom, it is more efficient to be modeled as a discrete (lumped parameter system). On the other hand, when a mass is non-uniform or, in other words, when a system have an infinite number of degrees of freedom (e.g. because it includes continuous elastic members), it is best to be modeled as a continuous (distributed parameter system). Furthermore, there are hybrid models which combine lumped and distributed parameters and provide more realistic…show more content…
However, the behaviour and interaction of individual components of an electromechanical system is not possible to be examined with lumped parameter models. Finally, lumped parameter models require modifications in their whole lumped model when changes in any system component occur. As already mentioned, distributed (modularized) models are solved by a set of partial differential equations due to all the dependent variables consist of more than one independent variable. However, these equations can be homogeneous or non-homogenous (inhomogeneous) equations. In practice, the solution of a homogeneous equation with the appropriate boundary conditions illustrates the behavior of the system after it has been properly set in motion and then subject to no further force. In addition to this, the solution depicts the trend of the system to vibrate at a number of natural frequencies. On the contrary, the solution of a non-homogeneous equation depicts the behavior of the system to specific forces (Holroyd, 2007). The forced-damped method can be used for solving the non-homogeneous equation of motion. According to this method, the steady-state response to exciting forces is calculated by transfer matrices. Moreover, this method uses fewer elements than the lumped mass approach in order to create a realistic model. This method contains terms which are dependent on frequency, thus it requires the