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A small-signal analysis is performed to predict this stability problem and to locate the boundary of the instability using an impedance approach.
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Then the equations of the boundaries of the instability regions are given in a parameter-plane.
The boundaries of the instability regions are determined using the method proposed by Bolotin.
Employing the multiple scales method, the boundaries of the instability zones in the mistuned turbo blade system are approximated.
The effects of various parameters on the boundaries of the instability region and the dynamic response are investigated.
The upper and lower boundaries of the instability regions are determined using the method suggested by Bolotin.
A two-dimensional representation delimiting boundaries of the instability region and depending on both mass flows is proposed for RF and DC polarisation of the titanium target.
The boundaries of the instability region are obtained using the principle of Bolotin's method and are conveniently represented in the non-dimensional excitation frequency to load amplitude plane.
Two dimensionless parameters, namely, sub-pseudo-critical number and true trans-pseudo-critical number were used to study the boundary of the thermo-acoustic instability.
The boundaries of the principal instability region are calculated and the stability charts of these two motions are represented graphically.
The boundaries of the principal instability region are represented in the non-dimensional excitation frequency-load amplitude plane.
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