Week - 1 - Consistency of Units
LS-DYNA doesn't have a default system of units. User needs to input material properties and physical dimensions according to a consistent system of units as per their choice. This warrants that to use LS-DYNA in different circumstances, users has to be conversant with converting quantities from one system of units to another.
Objective: To convert the above given system into specified Unit system
Procedure: The unit conversion from SI to gm mm ms is given below
Mass 1Kg=1000gm=1*10^3 gm
Length 1m=1000mm=1*10^3 mm
Time 1s= 1000 ms =1*10^3 ms
Force 1N= 1 Kg m/s2=1(1000 gm*1000 mm)/(1000ms)2=1 gm mm/ms2
Stess 1Pa= 1N/m2=(1kg m/s2)=(1000gm*1000mm/(1000000ms2))=10^-6 gm mm ms2
Density 1kg/m3=1000 gm/10^9mm3=10^-6 gm/mm3
Velocity 56.33 Kmph=(56.33*10^6)/H=(56.33*10^6)/(3600*1000 ms)=15.647 mm/ms
Gravity 9.81 m/s2= 9.81( 1000 mm/(10^6ms2))=9
| Units | MASS | LENGTH | TIME | FORCE | STRESS | ENERGY | DENSITY | YOUNG'S Modulus | Velocity | Gravity |
| Kg cm ms | 1 | 100 | 10^3 | 10^-4 | 10^-8 | 10^-2 | 10^-6 | 21000 | 1.56472 | 9.81*10^-4 |
| Kg cm s | 1 | 100 | 1 | 10^2 | 10^-2 | 10^4 | 10^-6 | 210*10^7 | 1564.72 | 9.81*10^2 |
| gm mm ms | 10^3 | 1000 | 10^3 | 1 | 10^-6 | 10^3 | 10^-6 | 210*10^3 | 15.6472 | 9.81*10^-3 |
| kg m s | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 210*10^9 | 15.6472 | 9.81 |
| g cm s | 10^3 | 100 | 1 | 10^5 | 10 | 10^7 | 10^-3 | 210*10^10 | 1564.72 | 9.81*10^2 |
| g cm us | 10^3 | 100 | 10^6 | 10^-7 | 10^-11 | 10^-5 | 10^-3 | 2.1 | 1564.72*10^-4 | 9.81*10^-10 |
| g mm s | 10^3 | 1000 | 1 | 10^6 | 1 | 10^9 | 10^-6 | 210*10^11 | 156472 | 9.81*10^3 |
| ton mm s | 10-3 | 1000 | 1 | 1 | 10^-6 | 10^3 | 10^-12 | 210*10^3 | 156472 | 9.81*10^3 |
| slug ft s | 0.068 | 3.28 | 1 | 0.224 | 0.0208 | 0.7366 | 1.93*10^-3 | 4.368 | 51.332 | 32.144 |
| kg mm s | 1 | 1000 | 1 | 10^3 | 10^-3 | 10^6 | 10^-9 | 210*10^6 | 156472 | 9.81*10^3 |
| g cm ms | 10^3 | 100 | 10^3 | 10^-1 | 10^-5 | 10 | 10^-3 | 210*10^4 | 1.56472 | 9.81*10^-4 |
| kg mm ms | 1 | 1000 | 10^3 | 10^-3 | 10^-9 | 1 | 10^-9 | 210 | 15.6472 | 9.81*10^-3 |