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Home » Know-how » Numerical Acoustics » FEM – Finite element method

FEM – Finite element method

Numerical calculation of mufflers with FEM

The finite element method (FEM) belongs to the best known numerical calculation methods and can be applied to the modeling of a wide range of complex physical processes. This includes the vibrational and resonance behaviour of structures (e.g. bars, plates), the propagation of sound and flows in solid, fluent and gaseous media (e.g. in mufflers) and the distributions of temperature and mechanical stress in structures.

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Numerical modeling of natural vibrations of a structure with FEM

Numerical modeling of natural frequencies of a sheet

numerical modeling of the insertion loss of mufflers

Principle of numerical modeling of the insertion loss of a muffler

As in case of any other numerical calculation method, the starting point for the application of the FEM method is the discretization of the structure into a great number of interacting partial areas, the so-called finite elements (e.g. triangles, tetrahedra).

On the basis of given constraints (e.g. source and material parameters), the differential equations describing the physical process are transformed into a linear equation system for the computation of the unknown nodal point parameters and solved.

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