A general method is presented for predicting the response of a linear viscoelastic material to piecewise continuous excitations in terms of its known response to the standard excitation functions, i.e., in terms of the relaxation modulus and the creep compliance in case of non‐periodic excitations, or the real and imaginary parts of the complex modulus and complex compliance in case of the steady‐state response to a periodic non‐sinusoidal excitation. To illustrate typical behavior, the response is used of a three‐parameter Maxwell model to staircase, pyramid, triangular pulse, and triangular pulse train excitations.