On the response of linear systems to periodic excitations

The problem of finding the periodic response of a linear system to a non-sinusoidal periodic excitation is of continuing interest. 1 ‾ 8 The following constitutes a brief summary of the existing methods of solving such problems: 1. The Fourier series. 2. Infinite series summation of transients. 3. S...

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Bibliographic Details
Published inTransactions of the American Institute of Electrical Engineers. Part 1. Communication and electronics Vol. 79; no. 6; pp. 746 - 749
Main Authors Lepage, W. R., Mcfee, R.
Format Journal Article
LanguageEnglish
Published American Institute of Electrical Engineers 01.01.1961
Subjects
Equations
Integral equations
Laplace equations
Magnetic heads
Mathematical model
Steady-state
Transforms
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ISSN0097-2452
2379-674X
DOI10.1109/TCE.1961.6373042

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Summary:The problem of finding the periodic response of a linear system to a non-sinusoidal periodic excitation is of continuing interest. 1 ‾ 8 The following constitutes a brief summary of the existing methods of solving such problems: 1. The Fourier series. 2. Infinite series summation of transients. 3. Solution of a differential equation subject to matching conditions at the beginning and end of a cycle. 4. Computation of the periodic response in closed form, for the duration of the first cycle, by subtracting the transient part of the response from the total response. 5. Use of the modified Z-transform to obtain the closed form solution for one cycle of response, in the limit, as t approaches infinity.
ISSN:0097-2452
2379-674X
DOI:10.1109/TCE.1961.6373042