Motivated by the work of Robinson et al,we have researched Hawking radiation from the event horizon of Vaidya black hole via covariant anomalies theory and general tortoise coordinate transformation,and the result shows that the Hawking temperature can be correctly determined by covariant anomalies at the horizon.

We put Dirac equation of near the event horizons of black hole change into second order equation of by employing the new tortoise coordinate transformation;get the Hawking radiation temperature near event horizons and Hawking radiation spectrum.

The temperatures of Schwarzchild and Kerr-Newman black holes computed by this method are identical with the result computed by the definition of black hole s surface gravity,while the temperature of Vaidya black hole accords with the outcome calculated by reducing the Klein-Gordon equation near the event horizon to standard form with a new tortoise coordinate transformation.

Based on an approximate closed system converted by the consistent viscous-spring boundary condition,a high efficient procedure is proposed for nonlinear soil-structure dynamic interaction,combing with generalized coordinates translation method and wave input method.