Vibroacoustic Simulation

9 Deterministic Applications

In technical acoustics deterministic systems are usually treated by numeric methods like the finite element method or the boundary element method. Those methods require complex and powerful solvers as far as pre and post-processors to handle large and detailed models. Even though such models are extremely useful for the simulation of vibroacoustic systems, it is hard to develop a deep understanding of the dynamic phenomena with these numeric models and to draw the right conclusions.

In this book we will treat deterministic systems as far as possible by analytical approaches or by models that consist of sub-elements that can be described by analytical formulas. This allows the reader to follow and understand the details of the theory and may help to provide a deeper understanding of typical vibroacoustic systems. However, even with such constraints, the examples in this chapter are about several deterministic subsystems that are used in real technical systems and create the basement for later SEA or hybrid FEM/SEA examples.

9.1 Acoustic One-Dimensional Elements

One-dimensional acoustic elements are used in the simulation of mufflers, ventilation systems, or hydraulics. The wavelength is assumed to be much larger than the dimension of the cross section. Such systems can become very complex, and they are also used as a designed network in audio systems, for example, the housing and resonators of loudspeakers. In the context of this book, these elements ...