It's a sine curve so acceleration will be non-uniform and out of phase with the velocity. I'm not familiar with the paper, was it experimental or theoretical? Note, for copyright please don't post the paper, a public link is fine. If you bounce a bucket of water up and down after some initial slopping around the free surface will stabilise: that's what viscosity does!
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New Post - Reply To: Vertical excitation of a spherical tank half filled with water
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