二維梁單元的有限元分析

1、Problem Description: Determine the nodal deflections, reaction forces, and stress for the truss system shown below (E = 200GPa, A = 3250mm2) Important:        · Convert all dimensions and forces into SI units.· You can either build your model by

2、 using ABQUS/CAE or directly write your input file. Submit the input file according to the temp format.· Run the job twice by with or without considering geometric nonlinearity and do a comparison.· List the results of the analysis and plot the deformed shape.PART 1:Without considering geo

3、metric nonlinearity, we can get the deformed shape of 2D Truss Structure as follow : Fig 1 The deformed shape of 2D Truss Structure without geometric nonlinearityWe get the result of analysis of 2D Truss Structure without nonlinearity by using ABQUS/CAE. The reaction forces for truss system are summ

4、arized in table 1.Point numberRF. Magnitude(N)RF. RF1(N)RF. RF2(N)1300013188582233333200030004000500060007318498-188582256667Table 1 The reaction forces for truss system without geometric nonlinearity The displacements and the Mises stresses for truss system are showed in table 2.Point numberU. Magn

5、itude(m)U. U1(m)U. U2(m)S. Mises(Pa)1300.013E-33-188.582E-33-233.333E-3349.7391E+0623.00917E-031.51695E-03-2.59884E-0382.8975E+0635.37825E-03-298.416E-06-5.36996E-0334.1952E+0645.72896E-0324.868E-06-5.7289E-0347.664E+0655.79069E-03223.812E-06-5.78637E-0335.2315E+0663.25786E-03-1.61642E-03-2.82858E-0

6、391.1872E+067318.498E-33188.582E-33-5.36996E-0351.8117E+06Table 2 The Mises stress and displacement for truss system without geometric nonlinearityPRAT2:With considering geometric nonlinearity, we can get the deformed shape of 2D Truss Structure as follow :Fig 2 The deformed shape of 2D Truss Struct

7、ure with geometric nonlinearityThe reaction forces for truss system with geometric nonlinearity are summarized in table 3. Point numberRF. Magnitude(N)RF. RF1(N)RF. RF2(N)1299.881E+03188.372E+03233.333E+03200030004000500060007318.374E+03-188.372E+03256.667E+03Table 3 The reaction forces for truss sy

8、stem with geometric nonlinearityThe displacements and Mises stresses for truss system are showed in table 4.Point numberU. Magnitude(m)U. U1(m)U. U2(m)S. Mises(Pa)153.5032E-33-53.5031E-33-101.216E-3649.6786E+0623.01189E-031.51851E-03-2.60108E-0382.9515E+0635.38337E-03-299.721E-06-5.37502E-0334.2471E

9、+0645.73647E-0324.8903E-06-5.73642E-0347.6725E+0655.79542E-03225.597E-065.79103E-0335.2385E+0663.26007E-03-1.61749E-03-2.8305E-0391.235E+067296.734E-33148.798E-33-256.73E-3351.7433E+06Table 4 The Mises stress and displacements for truss system with geometric nonlinearityWe can find lots of differences between the results without considering geometric nonlinearity and the results with considering geometric nonlinearity. The largest difference of all is the displacement. There are distinctly exterior difference between Fig 1 and Fig 2. The result without considering geometric nonlinea