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Non-resonant and primary resonance cases with and without internal resonance are illustrated and discussed.
The cases of an external primary resonance of a non-internally resonant mode and of a sub-harmonically excited two-to-one internal resonance are investigated.
Systematic experimental investigation of the finite amplitude dynamics of a multiple internally resonant suspended cable-mass, subjected to anti-phase support motion at primary resonance, is accomplished.
Primary resonance typically shows the hardening spring effect.
This work is limited only to the primary resonance cases.
We consider the following cases: (1) primary resonance of a single in-plane mode and (2) primary resonance of a single out-of-plane mode.
At the first primary resonance, most of the responses are aperiodic, including quasiperiodic and chaotic solutions.
Subsequently, the average approach is used to determine the steady-state primary resonance.
The well known primary resonance in the Duffing oscillator is considered as a prototype example.
Four kinds of persistent primary resonance and three critical cases exist.
For the case of the forced vibration, the primary resonance of the first mode is investigated.
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