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1.3.1.1 Forced Vibration of the 2DOF System

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If the 2DOF system is excited by a force or a combination of several forces, the system of equations (1.73) is solved for every frequency. Equation (1.73) can by written in a more generic way

(1.82)

The solution can be written using the inverse of the stiffness matrix

(1.83)

This frequency response can be received for example by using numerical packages like MATLABTM, Python (with NumPy) for a set of frequencies. In Figure 1.13 the response of the system for unit excitation of Fx1=1 N and Fx2=0 N is shown.


Figure 1.13 Magnitude and phase of response to unit force at mass 1. Source: Alexander Peiffer.

Vibroacoustic Simulation

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