Recently, Rim1,2 suggested an exact DtN boundary condition to study the
three-dimensional wave diffraction by a floating body or undulated
seabed for horizontally-unlimited water domain of finite-depth. This
paper focuses on linear wave interaction with a bottom-mounted body in
front of a vertical wall. An artificial boundary is chosen as a virtual
cylindrical surface so that it can enclose two bodies (one is the
original body and another is its imaginary body by the method of mirror
image), and the entire water domain is divided into an interior
subdomain and an exterior one by the artificial boundary. An exact DtN
artificial boundary condition on the artificial boundary is derived from
an analytical solution in the exterior subdomain, and it is used as a
boundary condition to solve hydrodynamic interaction of the bodies with
the interior subdomain numerically using boundary integral equation. The
present numerical model is validated by comparison with ANSYS AQWA in
case of a bottom-mounted circular cylinder. The effects of heading angle
and distance from the wall to the body on exciting forces are
considered.
In order for weightlifters to achieve good technical skills in clean &
jerk, a study of kinematic analysis and optimization of jerk using
elasticity of weightlifting bar in clean & jerk is conducted. First of
all, barbell’s trajectory, which leads to derivation of barbell’s
velocity and acceleration over time, is tracked from video clip filmed
the lifter’s performance by image processing technology including
pattern recognition. Since clean lift in clean & jerk is similar to
snatch lift in principle, focus is only on jerk just after finish of
clean lift. Five kinematic characteristics- “Jerk-Preparing-Time”,
“Jerk-Drive-Velocity”, “Jerk-Time”, “Jerk-Offset” and
“Jerk-Drop” are newly introduced to evaluate the jerk technique. Then,
a kinematic model which is comprised of springs and dashpots is proposed
in order to simulate and optimize the jerk using elasticity of
weightlifting bar. Spring constant and damping coefficient of the model
is estimated by analyzing the barbell’s oscillation on the shoulder.
Besides, spring constant is calculated by theory of bending of beam, as
well. Finally, an optimal control problem based on the proposed
kinematic model is formulated and solved to optimize the jerk. The
methodology is illustrated with case study, showing good agreement with
actual lifts. It could be useful for optimizing clean & jerk technique.
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