Kinetic Energy
For all materials, a kinetic energy density is computed. For a time-dependent study, it is defined as
where
ρ
is the mass density, and
v
is the velocity.
In Frequency Domain, the velocity is related to the displacement as
v
=
i
ω
u
, and the kinetic energy is defined as
which represents the cycle average.
In addition, kinetic energy variables include contributions from added mass, point masses, and moments of inertia. For structural elements like beams and shells, also distributed moment of inertia contributions are taken into account.