Finite elements Pisud Witayasuwan.

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Presentation transcript:

Finite elements Pisud Witayasuwan

Introduction Exact = PL/AE = (10000*20 )/10*(30*10^6) =670*10^-6 in

Aspect ratio Case 1(L/d=1) Case 2 (L/d=2) Case 3(L/d=5)

Aspect ratio 0.99 Case Aspect Ratio Number of Nodes Number of Elements FEM 10^-6 Exact Error % 1 6 4 674.7 670 0.701 2 663.7 0.940 3 5 22 20 663.4 0.99

The number of elements Case 1 (L/d)=1 Case 2 (L/d)=1

The number of elements Case Aspect Ratio Number of Nodes FEM 10^-6 Exact Error % 1 6 4 674.7 670 0.701 2 15 16 671.9 0.284 3 663.7 0.940 10 8 670.4 0.060

Conclusions The element increases and keep same L/d, the accuracy of the finite element solution increases. The aspect ratio decreases, the accuracy of the finite element solution increases.