Dynamics of 1 dof system - DYNA vs ASE

Hello,

I was testing the results of 1 dof system with DYNA and ASE, and I found that ASE inserts damping in my model:

imagen

It must be a parameter that I did not consider…

This is the Teddy code:

+PROG TEMPLATE urs:4

HEAD Variables

$ Self weight [t]:
STO#M_PP 10

$ Dead load [t]:
STO#M_CM 20

$ Stiffness [kN/m]:
STO#K 1E4

$ Damping coefficient [%]
STO#nu 0


END


+PROG TEMPLATE urs:5
head

$ Angular frequency undamped system [rad/s]:
STO#omega SQR(#K*1E3/((#M_PP+#M_CM)*1E3))

$ Frequency undamped system [Hz]:
STO#f #omega/(2*#PI)

$ Critical damping [kg/s]:
STO#c_cri 2*(#M_PP+#M_CM)*1e3*#omega

$ Critical damping [kN·s/m]:
STO#c_cri_s #c_cri*1e-3

$ Damping [kg/s]:
STO#C #nu/100*#c_cri

$ Damping [kN·s/m]:
STO#C_s #C*1e-3

end


+prog template urs:10

head Harmonic load

$ Amplitude [kN]:
sto#p0_10 100

$ Period [s]:
sto#Tp_10 1.0*(0.75/#f)


end


+PROG SOFIMSHa urs:1
head



SYST TYPE 3D GDIV 100 GDIR POSZ

NODE NO 1 FIX ZP
MASS NO 1 MX #M_PP[t]
$NODE NO 2 FIX PPMM Z 1
SPRI NO 1 NA 1 DZ 1 CP #K

if #nu<>0
    SPRI NO 2 NA 1 DZ 1 DP #C_s
endif


end

+PROG SOFILOAD urs:2
head Cargas muertas

LC NO 2 TITL 'Dead load'
NODE NO 1 TYPE PG P1 #M_CM*10

end


+prog sofiload urs:11
head  Dynamic Load
lc 30 titl 'Sine-wave impulse'
node 1 type pz  p1 #p0_10
func t #Tp_10 f 1.0 t1 0.0 TMAX 2.0

end


+PROG ASE urs:3
head
LC 1 dlz 1 titl 'Self weight'
LC 2
LC 5 dlz 1 titl 'Permanent loads'
  LCC 2

end



+PROG DYNA urs:8
HEAD

ctrl rlc 1001 1+2+4

mass 0
mass lc 2 prz 100 mx 1

STEP 3000 30/3000   - -
LC 30;


hist U-Z     1 1 RESU PRIN LCST  90
END


+PROG ASE urs:7
HEAD

STEP N 3000 DT 1/100 LCST 2001 SELE 1+64 LCSM 10001
SYST PLC 5
MASS 0
MASS LC 2 PRZ 100 $MX 1
LC 102 DLZ 1
$    LCC 2
    LCC 30


END


+PROG DYNR urs:9
HEAD Displacement history
HIST 90  U-Z 1
end

Hello Gonzalo

Generally ASE is calculating dynamic time steps with the Newmark method with numerical damping (as you can see in your graphic).
To deactivate the numerical damping you have to change the parameter of the integration method to

STEP … BET 0.25 DEL 0.50 THE 1.00

Further information can be found in the ASE manual.

TEDDY > Help > manuals > all manuals > ASE > chapter 3.5 STEP -Time Step Method Dynamics

Mit freundlichen Grüßen / with kind regards
SOFiSTiK Support Team
Frederik Höller

Thank you very much, @JFH. I definitely have forgotten the numerical methods for differential equations.

Kind regards,
Gonzalo

1 Like

So, in order to confirm my approach: By default, the numerical method introduces an extra damping, even if I define a damping to the system.

imagen

imagen

Regards.