Challenge

Assignment 3-2D Element Formulation Challenge

Aim:

Comparison of results with base simulation and improved shell element properties

Before shell element property change

CYCLE TIME TIME-STEP ELEMENT ERROR I-ENERGY K-ENERGY T K-ENERGY R EXT-WORK MAS.ERR TOTAL MASS MASS ADDED

29150 54.88 0.1965E-02 NODE 711 -10.3% 0.1928E+08 0.3569E+08 0.2223E+05 -3801. 0.1659E-03 0.5040E+06 83.59

29160 54.90 0.1965E-02 NODE 711 -10.3% 0.1929E+08 0.3568E+08 0.2203E+05 -3971. 0.1659E-03 0.5040E+06 83.59

29170 54.92 0.1965E-02 NODE 711 -10.3% 0.1930E+08 0.3567E+08 0.2207E+05 -3973. 0.1659E-03 0.5040E+06 83.59

29180 54.94 0.1963E-02 NODE 711 -10.3% 0.1930E+08 0.3566E+08 0.2193E+05 -3974. 0.1659E-03 0.5040E+06 83.59

29190 54.96 0.1964E-02 NODE 711 -10.3% 0.1931E+08 0.3564E+08 0.2193E+05 -3974. 0.1659E-03 0.5040E+06 83.59

29200 54.98 0.1965E-02 NODE 711 -10.3% 0.1932E+08 0.3563E+08 0.2197E+05 -3980. 0.1659E-03 0.5040E+06 83.59

Energy Error: -0.0% to -10.3% which is within the acceptable range

Mass Error: 0.0001659

No of Cycles:29211

Simulation time:38ms

After shell element property change:

CYCLE TIME TIME-STEP ELEMENT ERROR I-ENERGY K-ENERGY T K-ENERGY R EXT-WORK MAS.ERR TOTAL MASS MASS ADDED

28890 54.81 0.1799E-02 NODE 708 -0.1% 0.1744E+08 0.4382E+08 2109. -1089. 0.1659E-03 0.5040E+06 83.59

28900 54.83 0.1802E-02 NODE 708 -0.1% 0.1745E+08 0.4381E+08 2312. -1089. 0.1659E-03 0.5040E+06 83.59

28910 54.85 0.1803E-02 NODE 708 -0.1% 0.1745E+08 0.4381E+08 2522. -1089. 0.1659E-03 0.5040E+06 83.59

28920 54.87 0.1805E-02 NODE 708 -0.1% 0.1746E+08 0.4380E+08 2645. -1089. 0.1659E-03 0.5040E+06 83.59

28930 54.88 0.1797E-02 NODE 708 -0.1% 0.1746E+08 0.4380E+08 2704. -1089. 0.1659E-03 0.5040E+06 83.59

28940 54.90 0.1796E-02 NODE 708 -0.1% 0.1747E+08 0.4379E+08 2808. -1089. 0.1659E-03 0.5040E+06 83.59

28950 54.92 0.1794E-02 NODE 708 -0.1% 0.1747E+08 0.4379E+08 2905. -1089. 0.1659E-03 0.5040E+06 83.59

28960 54.94 0.1796E-02 NODE 708 -0.1% 0.1747E+08 0.4378E+08 2982. -1089. 0.1659E-03 0.5040E+06 83.59

28970 54.96 0.1792E-02 NODE 708 -0.1% 0.1748E+08 0.4378E+08 3100. -1089. 0.1659E-03 0.5040E+06 83.59

28980 54.97 0.1791E-02 NODE 708 -0.1% 0.1748E+08 0.4377E+08 3247. -1089. 0.1659E-03 0.5040E+06 83.59

28990 54.99 0.1797E-02 NODE 708 -0.1% 0.1749E+08 0.4377E+08 3364. -1089. 0.1659E-03 0.5040E+06 83.59

Energy error: -0.1% which is acceptable range.

Mass error:0.0001659

No of cycles:28990

Simulation time:38ms

Simulation Results

Condition1: @base simulation condition

Displacement contour plot:

Von mises stress:

Energy plots:

Resultant force Vs Time:

Condition2:

Simulation after Improved shell elements properties

Displacement contour plot:

Von mises stress:

Energy plots:

Resultant force Vs time:

Comparison between base simulation and improved shell element property

perameters

Base simulation

Improved shell element property

Remark

Energy error

-10.3%

-1.0%

Both cases It is within acceptable range

Mass error

0.0001659

0.0001659

Remain same

Total energy

Total energy decreases as time increases

Total energy remain constant as time increases

Hourglass energy

Hourglass energy increases as time increases

Hourglass remain constant against increase of time

Displacement

Max:761@169 node, min:0.0@81502 node

Max:781@165 node, min:0.0@81502 node

Displacement got increased slightly after shell improved property

Von mises stress

Max:343.7@582 node, min:0.0@716ode

Max:332.3@615 node, min:0.0@716 node

Small decrease of Max Von mises stress after shell improved property

Files:

Base simulation:shell3 assignment.h3d,shell3 assignmentT01

improved shell property:beam.h3d,beamT01

Modle:beam.hm

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