A method of making a special track assembly for supporting a train, including providing a special track segment, and attaching a number of ribs made of a resilient material to exterior surfaces of the special track segment. Adjacent ones of the ribs are spaced apart from each other by predetermined distances to define gaps therebetween respectively. The method also includes attaching one or more wall portions of the resilient material to the ribs, for bridging each gap to at least partially define a number of cavities between the adjacent ribs respectively. Each wall portion is deflectable for dissipating energy transmitted by movement of the special track segment relative to the supporting material which supports the special track assembly.