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Phenomenon of isolated jump resonance and its applications

Phenomenon of isolated jump resonance and its applications

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© The Institution of Electrical Engineers
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Under certain conditions of periodic excitation where both the input amplitude as well as the input frequency are varying, nonlinear multimodal systems can be forced exhibit a response in which jumps down occur for both an increase as well as a decrease in input frequency from a median value. This interesting phenomenon is termed ‘isolated jump resonance’. Systems of this type exhibit considerable sensitivity to changes in input frequency or amplitude at the occurrence of the jumps. Application of such systems as sensitivie detectors of frequency deviations in a periodic signal are proposed. A discussion of design considerations is given and a description is included of a system which has been constructed.

Inspec keywords: frequency response; nonlinear systems; frequency measurement

Other keywords: input frequency or amplitude; frequency response; sensitive detectors of frequency deviations; system amplitude response; periodic excitation; isolated jump resonance; frequency measurement; median value; nonlinear multimodal systems; frequency monitoring devices; nonlinear systems

Subjects: Nonlinear control systems

References

    1. 1)
      • S.S. Lamba , R.J. Kavanagh . Jump-resonance criteria for systems containg double-valued and frequency-dependent non-linearities. Proc. IEE , 7 , 1225 - 1228
    2. 2)
      • H. Hatanaka . Frequency responses and jump resonance phenomena of nonlinear feedback control systems. Trans ASME Ser. D. , 236 - 242
    3. 3)
      • R.A. Anderson , A.C. Soudack . On the resonance properties of quasilinear second-order differential-difference equations. Int. J. Contr. , 1 , 33 - 48
    4. 4)
      • R. Balasubramanian , D.P. Atherton . Prediction of jump resonance in systems containing certain multidimensional non-linearities. Proc. IEE , 9 , 1369 - 1372
    5. 5)
      • Lamba, S.S.: `Synthesis and applications of nonlinear multimodal systems', 1968, Ph.D. thesis, University of New Brunswick, Canada.
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