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Urban rail is widely considered to be a form of low-carbon green transportation, but there is a lack of specific quantitative research to support this. By comparing the mode, distance, and corresponding energy consumption of residents before and after the opening of rail transit, this paper establishes a carbon reduction method for rail transit. A measurement model takes the passenger carbon emissions before the line is opened as the baseline and compares them with the standard after the opening, determining the carbon emissions reduction. The model requires a combination of a large amount of research data, transit smart card data, and GIS network measurement tools as measured data and parameters. The model is then applied to rail transit lines that have opened in Beijing in recent years. The emissions reductions of four different routes are estimated and the carbon emissions reduction effect of rail transit is evaluated.

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It is demonstrated that when tension leg platform (TLP) moves with finite amplitude in waves, the inertia force, the drag force and the buoyancy acting on the platform are nonlinear functions of the response of TLP. The tensions of the tethers are also nonlinear functions of the displacement of TLP. Then the displacement, the velocity and the acceleration of TLP should be taken into account when loads are calculated. In addition, equations of motions should be set up on the instantaneous position. A theoretical model for analyzing the nonlinear behavior of a TLP with finite displacement is developed, in which multifold nonlinearities are taken into account, i.e., finite displacement, coupling of the six degrees of freedom, instantaneous position, instantaneous wet surface, free surface effects and viscous drag force. Based on the theoretical model, the comprehensive nonlinear differential equations are deduced. Then the nonlinear dynamic analysis of ISSC TLP in regular waves is performed in the time domain. The degenerative linear solution of the proposed nonlinear model is verified with existing published one. Furthermore, numerical results are presented, which illustrate that nonlinearities exert a significant influence on the dynamic responses of the TLP.