Hydrodynamic pressure on a dam with a periodically corrugated reservoir bed

DOI10.1007/BF01302943zbMath0586.73171MaRDI QIDQ1071589

B. George

Publication date: 1986

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

damLaplace equationhydrodynamic pressureearthquake forcesFourier cosine transform techniqueinversion by Cauchy's residue theoremlinearised equations of inviscid and incompressible flowperiodically corrugated reservoir bedreduced to linear ordinary differential equation of second ordervertical upstream face

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Dynamical problems in solid mechanics (74H99) Incompressible inviscid fluids (76B99) Geophysical solid mechanics (74L05) Elastic materials (74B99)

Cites Work

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• Time-harmonic and nonstationary stochastic vibrations of arch dam-reservoir-systems
• Hydrodynamic pressures on sloping dams during earthquakes. Part 1. Momentum method
• Hydrodynamic pressures on sloping dams during earthquakes. Part 2. Exact theory
• Simultaneous dual integral equations with trigonometric and Bessel kernels

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