Hey Cecil, you could get the sound deadening material that mobile audiophiles use to line the inside of speaker boxes or the floors/doors of cars. The other option is to try using suspended ceiling sheets, many advertise sound deadening qualities. To cut vibrations also try putting something really heavy on top of your 'dog-house' that way it isn't transfered to it as well.
Owner/Builder of Ottawa Canada's first official off-grid home.
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