normalmodanalyse
Normalmodanalyse, or normal mode analysis, is a technique for studying the vibrational behavior of linear dynamical systems by expressing motion as a sum of independent modes called normal modes. It is widely used in engineering and physics to understand how structures or mechanisms respond to excitations.
In a linear system with mass matrix M, damping C and stiffness K, the equation of motion
The typical procedure is: construct the system matrices M, C, K; solve the generalized eigenproblem to obtain
Applications include structural vibration analysis, aerospace and automotive engineering, civil engineering, acoustics, and molecular vibrations. Benefits
Related concepts include modal analysis, eigenvalue problems, Fourier methods, and the finite element method.