北航计算固体力学大作业网格收敛性分析(5页).docx

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1、-北航计算固体力学大作业网格收敛性分析-第 5 页Homework of Computational Solid MechanicsElement Type : PLANE 183 with 8 nodesThick of the plane : 0.01mMaterial Properties : EX=2105Mpa PRXY=0.3 Density=7800kg/m3Case1: Concentrated loads F respectively applied on A and B ,F=10kNCase2: Uniformly distributed load q applied o

2、n line AB ,q=20kN/m1、11 meshingA and B have the same displacements .Displacements of A、B is shown in table 1 .UXUYCase1-0.21569E-4-0.11724E-4Case2-0.97414E-7-0.10345E-7Table 1Figure 1: X-Component of displacement in Case 1Figure 2: X-Component of displacement in Case 22、55 meshingDisplacements of A、

3、B is shown in table 2 .UXUYCase1-0.39760E-4-0.21703E-4Case2-0.99213E-7-0.15538E-7Table 2Figure 3: X-Component of displacement in Case 1Figure 4: X-Component of displacement in Case 23、1010 meshingDisplacements of A、B is shown in table 3.UXUYCase1-0.47178E-4-0.26413E-4Case2-0.99250E-7-0.15531E-7Table

4、 34、The first 10 frequenciesWe also get the first 10 frequencies shown in table 4 . 11 meshing55 meshing1010 meshing1564.63531.96530.9221278.71274.11273.331550.41429.71428.442101.72270.32269.552952.62453.52448.663188.52597.52597.374656.03288.53275.084715.43459.63448.995026.53817.93806.7106765.03834.

5、63931.0Table 4Figure 5: X-Component of displacement in Case 1Figure 6: X-Component of displacement in Case 2Reorganize the data in table 1 ,table 2 and table 3 we get a new table shown as table 5 .Data in table 5 is the displacements in X direction of A,B in different cases and meshings .Case1Case21

6、1 meshing-0.21569E-4-0.97414E-755 meshing-0.39760E-4-0.99213E-71010 meshing-0.47178E-4-0.99250E-7Table 5Analysis:1、Analyze the data in table 5 , we can know ,the displacement of A ,B is larger in case 1 than that in case 2 .That means it has a larger displacement when a concentrate load is applied .

7、 2、Analyze the data in table 5 , we can also know that the numbers with more meshes are a little larger .In fact , the data will be more accurate if we use more meshes .3、Look at figure 3, figure 4,figure 5and figure 6,we can know that the nodes on line AB have the same displacements when a uniformly distributed load is applied .Its not suitable for case 1 when a concentrate load is applied .4、Analyze the data in table 4,the frequencies get smaller when the number of meshes is bigger .