EFG with Lagrange Multipliers for elastodynamic problems

hi ,

by using EFG with Lagrange multipliers for elastodynamics we will get below two equations .

M (U double dot)+C (U dot) + KU = F   (ofcourse C=0 in my problem)

HU=q    (q is not equal to zero) (where  H= G Transpose)

can you please help me to  solve these two equatuions simultaneously in dynamic analysis.

thanks a lot,

regards,

rajnikanth reddy

IIT Kanpur,India