Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system： influence of harmonic excitation amplitude-中国期刊网

摘要 Underharmonicwaveexcitation,thedynamicresponseofabilinearSDOFsystemcanbeexpressedbytheHilbertspectrum.TheHilbertspectrumcanbeformulatedby(1)theinter-wavecombinationmechanismbetweenthesteadyresponseandthetransientresponsewhenthesystembehaveslinearly,or(2)theintra-wavemodulationmechanismembeddedinoneintrinsicmodefunction(IMF)componentwhenthesystembehavesnonlinearly.ThetemporalvariationoftheinstantaneousfrequencyoftheIMFcomponentisconsistentwiththesystemnonlinearbehaviorofyieldingandunloading.Asathoroughstudyofthisfundamentalstructuraldynamicsproblem,thisarticleinvestigatestheinfluenceoftheamplitudeoftheharmonicwaveexcitationontheHilbertspectrumandtheintrinsicoscillatorymodeofthedynamicresponseofabilinearSDOFsystem.

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Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system： influence of harmonic excitation amplitude

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Hilbert spectrum and intrinsic oscillation mode of dynamic response of a bilinear SDOF system： influence of harmonic excitation amplitude

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