Summary
Ways of effectively applying asynchronous excitations to nonlinear systems are studied in spite of complexity of the system behavior caused by two excitations with asynchronous frequencies. The operation of suppressing primary resonances for vibro-machines by adding another asynchronous excitation to the main systems is shown. A new property, namely that resonant amplitudes are perfectly suppressed at some partial-frequency intervals and at one wide-frequency interval, was recognized in the systems with piecemeal linear characteristics under the action of both parametric and forcing excitations. The phenomena are different from reduction of whole resonance curves occurring in systems with continuous nonlinearity.
Übersicht
Der Weg einer wirksamen Verwendung einer asynchronen Erregung für nichtlineare Systeme wird trotz der Kompliziertheit des Systemverhaltens bei zwei Erregungen mit asynchronen Frequenzen studiert. Die Unterdrückung primärer Resonanzen von Schwingungs-maschinen beim Zusatz einer asynchronen Eregung zum Hauptsystem wird gezeigt. Die neue Eigenschaft, daß die Resonanzamplituden in einigen partiellen Frequenzregionen und einen weiten Frequenzbereich perfekt unterdrückt werden, wurde für Systeme mit stückweise linearer Charakteristik und simultaner Parameter- und Fremderregung gezeigt. Die Phänomene sind verschieden von der Verringerung ganzer Resonanzkurven in kontinuierlichen nichtlinearen Systemen.
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Yano, S., Oks, A. On the effective application of asynchronous excitations to nonlinear mechanical systems. Arch. Appl. Mech. 64, 539–546 (1994). https://doi.org/10.1007/BF00788886
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DOI: https://doi.org/10.1007/BF00788886