Spherical electrical contacts always weld shut. The reason is
purely geometrical. From high school geometry, we all know that a
sphere makes a single point contact on any surface. Theoretically,
a spherical contact should never work at all. We will show why they
make any electrical contact, why they always weld shut, and why it
is physically impossible to prevent contact failure by welding within
a few closures.
A perfect sphere should make a single point contact
with zero surface area which is physically unrealizable. There will
always be imperfections that yield some contact surface area. We
measured a commercially available spherical contact and found the
surface contact area, Ac, to be approximately Ac=1*10-12cm2.
Very small forces can contribute to this surface area by ball elastic
deformation or strain.
At 10mA of electrical current, the current density is approximately
Jc=1*108A/cm2.
Industrial arc welders have typical current densities of Jarc=3.6*104A/cm2.
This means that the current density in the measured spherical contact
is 2800 times higher than the current density of any industrial
arc welder.
We
life tested a lot of 100 spherical electrical contacts and
found 20% welded closed upon first contact. The average statistical
failure by welding shut was approximately seven (7) closures. In
stark contrast, a reed switch will make contact 1,000,000 closures
without any failure by sticking or welding. The test apparatus used
a solenoid that created a significant mechanical impulse when it
reached the open stop position. It is possible that we would have
observed 100% failure upon first contact in the absence of that mechanical
impulse breaking the weld loose.
There is no known metal or alloy that will not weld
at these current densities. Coating with Rhodium or other refractory
metals does not mitigate the problem. The current densities are simply
too high. Plating with gold only aggravates the problem. It is entirely
a geometrical problem. The finite element plot below clearly shows
current constriction at extraodinary current densities.
Finite element solutions are physically impossible
at point contact because the current is divided by zero surface area
yielding infinity. Only highly specialized couputers have the resources
to deal with surface areas and current densities of actual magnitudes.
The surface area in this plot below was 1 billion times larger than
the actual switch so that we could realize any kind of solution within
the precision of the quad CPU machine with 8GB of RAM. The red areas
are current densities around 10 million amperes per cm2.
This problem clearly shows disproportionate surface contact relative
to the diameter of the sphere. This was necessary due to the small
size of the mesh in the vicinity of the contact area needed to solve
the problem. |