Abstract
Frequency domain analysis plays an important role in the investigation of lumpedparameter nonlinear systems. However the frequency domain methods for distributed parameter systems are still far from mature. In this chapter, the Volterra series theory based frequency domain analysis methods is extended to linear partial differential equations with an additive bilinear term. The Volterra series expansion of this class of systems is derived and an associated frequency domain representation is included. A harmonic probing method is introduced to calculate the transformed kernels directly from a partial differential equation representation. This study illustrates a general methodology for charactering distributed parameter systems in the frequency domain.
| Original language | English |
|---|---|
| Title of host publication | Nonlinear Systems |
| Subtitle of host publication | Design, Applications and Analysis |
| Publisher | Nova Science Publishers, Inc. |
| Pages | 15-35 |
| Number of pages | 21 |
| ISBN (Electronic) | 9781536123166 |
| ISBN (Print) | 9781536122916 |
| State | Published - 1 Jan 2017 |
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