During the long-distance transportation of large natural gas skid-mounted equipment systems, the piping vibrates violently under certain transportation conditions, resulting in large deformation. Long duration exposure under variable load condition causes the loosening of pipe joints and damage to the equipment. Based on reciprocating vibration characteristics of the recirculation pump, this paper studied the distribution of modal stiffness, stress and strain of the skid mounted equipment in a triethylene glycol( TEG ) dehydration unit under vertical, braking, tilting conditions during transportation and alternating load excitation conditions during operation with finite element analysis technology. A structural and piping support scheme was formulated and verified by finite element analysis. The rigid-flexible coupling model of skid-mounted transportation system was established under the dynamic simulation environment, and the optimized support scheme was simulated and verified. The results show that, by optimizing the unit structure, the vibration of TEG dehydration unit regeneration skid is significantly dampened; the impact of road excitation and reciprocating vibration of operating recirculation pump on the overall stability of the equipment is significantly reduced; the possibility of damages to the skid equipment due to vibration is greatly reduced. The use of additional supports can effectively improve the structural stability and transportation safety and integrity of the TEG dehydration unit regeneration module, and serves as a good reference for similar projects.