Hydrodynamic pressure on a dam with a periodically corrugated reservoir bed (Q1071589)

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scientific article; zbMATH DE number 3940961
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Hydrodynamic pressure on a dam with a periodically corrugated reservoir bed
scientific article; zbMATH DE number 3940961

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    Hydrodynamic pressure on a dam with a periodically corrugated reservoir bed (English)
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    1986
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    The problem of determining the hydrodynamic pressure, caused by earthquake forces, on a dam with a vertical upstream face and a periodically corrugated reservoir bed is solved approximately by employing a Fourier cosine transform technique to the linearised equations of inviscid and incompressible flow. A particular case of the present problem giving rise to results valid for dams with flat reservoir beds is shown to produce known results as a check of the method used.
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    Laplace equation
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    reduced to linear ordinary differential equation of second order
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    inversion by Cauchy's residue theorem
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    hydrodynamic pressure
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    earthquake forces
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    dam
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    vertical upstream face
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    periodically corrugated reservoir bed
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    Fourier cosine transform technique
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    linearised equations of inviscid and incompressible flow
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