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It was found that using a perturbation displacement equal to the shell thickness provides a suitable technique for estimating the reduction in buckling load caused by imperfections.
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The velocity fields are obtained using a perturbation analysis.
We use a perturbation method around an equilibrium.
We use a perturbation approach to construct the solutions.
The rest of the method is to use a perturbation expansion (also known as Hirota perturbation) in a Hirota bilinear form, collect the coefficients of perturbation parameter and analyze the conditions for multi-soliton solutions.
Spirometry was conducted using a volume displacement, water-sealed spirometer.
The total volume of gas production was measured using a water displacement system [ 32].
All measurements were performed using a constant displacement velocity of 5 μm s−1.
One-term perturbation corrections for both cases are also obtained using a singular perturbation method.
Displacement of the leaf spring deforming was measured using a linear capacitive displacement sensor (LCDS).
Perturbations related to a cumulative output V are also investigated by using a multiplicative perturbation theorem of Desch and Schappacher.
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