I was having a slight rattling/clicking sound.
Emanating from my new GIGABYTE™ GeForce GTX dual-fan 1050 ti graphics card,
when the fan speeds were set between 60-75%.
Upon removing the card and inspecting it.
I noticed a small space,
(about 1 to 1.5 mils) between the plastic fan mounting brackets and the heatsink.

I deduced from my inspection of the video cards construction,
that the rattling/clicking sound was being produced by the fan mounting brackets,
making contact with the heatsink.

To remedy this,
I used a small piece of adhesive-backed felt,
folded in half,
(adhesive sides of felt folded together).
You can use something other then felt,
but it needs to be soft and fit snugly between the brackets and the heatsink.
Without causing any undue stress on the brackets.
This is why I chose to use felt.

This small piece of soft material folded onto itself,
was just thick enough,
to add the right amount of pressure against the mounting brackets and the heatsink,
without causing any dislocation of the brackets themselves,
or putting the fans out of level.

Doing this creates a small wedge of soft material,
between the fan mounting bracket and the heatsink.
Acting as a vibration mount,
between the mounting bracket and heatsink.
Essentially creating a vibration buffer.

There was also no disassembly required,
other then removal of the GPU to preform this operation.

I used a hobby/X-acto knife,
to gently slide a small piece of felt,
in between the fan bracket and heatsink of each fan.
Only 2 small pieces of felt,
as described above.
Were use for this processes.

After which,
all the vibration from the brackets stopped,
along with the clicking/rattling sound.

The GPU fans now run as they should,
at any fan speed setting.

Below is a graphic I put together.
As an example of what was done.