Decomposition of forced responses in vibrating systems Original Research Article

We seek to determine the forced response of evolution systems (discrete, concentrated and distributed) in terms of free and permanent responses. This can be accomplished with the use of the dynamical basis generated by the impulse response. The influence of the transients due to elementary inputs and piecewise linear forcing inputs is observed with the forced response. Finite differences numerical integration schemes, matrix differential systems and a clamped-supported Euler–Bernoulli beam with axial force are considered.