  We want to study the dynamics of a simple linear harmonic micro spring which
is under the influence of the quantum Casimir force/pressure and thus behaves
as a (an) nonlinear (anharmonic) Casimir oscillator. Generally,the equation of
motion of this nonlinear micromechanical Casimir oscillator has no exact
solvable (analytical)solution and the turning point(s) of the system has (have)
no fixed position(s); however, for particular values of the stiffness of the
micro spring and at appropriately well-chosen distance scales and conditions,
there is (are) approximately sinusoidal solution(s) for the problem (the
variable turning points are collected in a very small interval of positions).
This, as a simple and elementary plan, may be useful in controlling the Casimir
stiction problem in micromechanical devices.
