Filtration of High-ordered Vibration Mode to Satisfy Explicit Method’s Stability

Abstract:

The consistency between transferring matrix’s characteristic vector and structure’s natural vibration shape was proved by taking central differential method as an example.The explicit method’s destabilization was caused by a combination of the transferring matrix’s characteristic value and the corresponding characteristic vector.A new method was proposed by filtrating the high destabilization vibration mode from result displacement vectors at different time,as a result,the wide time step size beyond the stability field will not lead to a calculation destabilization.With the proposed method,the calculation efficiency is improved with the same precision.Numerical model validates the method,which develops a new way to solve the stiff differential equations.