penalty Method & Buckling &Dynamic solution

[yusf]

hi i have a simple question about usage of penalty method.

according to the constraints we are building P matrix and reconstructing stiffness matrix with following structure

K_new=K+C'*P*C

and simply putting it into equation KU=F and then find displacments.

that is ok but how about
during calculations for buckling and dynamic problems
do we use same approach
formulation for buckling

det(K+vK_g)= 0   eigenvalue problem

and for dynamic solutions

det(K-Mw^2)=0 eigenvalue problem
 where M mass matrix

my quesiton is that do we reconstruct K_g stifening term and M mass matrix such as

for buckling

det(K+vK_g)  K=K+C'*P*C and K_g=K_g+C'P*C

and for dynamic case

det(K-Mw^2)   K=K+C'*P*C  and M=M+C'*P*C

C is constraint matrix....

am i wrong ..if yes for buckling and dynamic case what would be the solution way..
thanks in advance