Cantilever evaluation system, cantilever evaluation method, and cantilever evaluation program
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United States of America Patent
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Dec 11, 2012
Grant Date -
Aug 12, 2010
app pub date -
Oct 22, 2008
filing date -
Oct 26, 2007
priority date (Note) -
Expired
status (Latency Note)
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Abstract
A controller of a cantilever evaluation system calculates a stream function value ψz(x, y; t+1) and vorticity ωz(x, y; t+1) at a subsequent time step t+1 using boundary conditions according to displacement h(z; t) of a cantilever and velocity ∂h/∂t(z; t), a stream function value φz(x, y; t) and vorticity ωz(x, y; t) in two-dimensional planes. The controller uses the calculated stream function value φz(x, y) and vorticity ωz(x, y) to calculate a fluid drag force acting on the cantilever. The controller substitutes the calculated fluid drag force into a displacement calculation equation to calculate the displacement h(z; t+1) of the one-dimensional beam at the subsequent time step t+1. The controller repeats such calculation for each grid point and further repeats it at each time step.
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