刘晶波结构动力学5.2作业

线性加速度法

i P(t)Δpi(fs)i aΔpi ^ki ki ^Δui

0.00100010875.512425.50.000805 0.110100.7045990.48287864.08233875.512425.50.005157 0.22010 5.2198370.680005141.9329875.512425.50.011423 0.3301015.220420.556337206.6227875.512425.50.016629 0.440-1029.779050.218373213.027********.018444 0.530-1029.77905-0.34081175.62110115500.015205 0.620-1029.77905-0.7983385.015720115500.007361 0.710-1029.77905-1.17266-49.116011550-0.00425 0.7

0.80029.77905-1.47893-208.86875.512425.5-0.01681

0.90015.06278-0.44555-263.938875.512425.5-0.02124

1.000-3.534270.60154-198.125875.512425.5-0.01595 1.100-17.4941 1.217357-59.6755875.512425.5-0.0048 1.20

中心差分法

i P(t)k系数a P^Ui-1ui Ui+1v

00875.5-2624.500000

0.110875.5-2624.510000.0051950.025974

0.220875.5-2624.533.6337700.0051950.0174720.08736

0.330875.5-2624.567.673670.0051950.0174720.0351550.149802

0.4400-3500108.82450.0174720.0351550.0565320.195301

0.5300-3500145.79340.0351550.0565320.0757370.202908

0.6200-3500169.34060.0565320.0757370.0879690.157185

0.7100-3500171.90660.0757370.0879690.0893020.067826 0.762230.090080

0.80875.5-2624.5151.29550.0858680.0893020.078595-0.04117

0.90875.5-2624.5117.78680.0893020.0785950.061188-0.14057

10875.5-2624.588.965510.0785950.0611880.046216-0.1619

1.10875.5-2624.577.087370.0611880.0462160.040045-0.10571

1.20875.5-2624.584.474070.0462160.0400450.043883-0.01167

Δv v ui 0.02414400

0.0581440.0241440.000805

0.0618170.0822880.005962

0.0387360.1441050.017385

-0.006120.1828410.034014

-0.056960.1767190.052458 Array -0.098550.1197620.067663

-0.132580.0212130.075024

0.075216

-0.09622-0.111370.070771

0.0078-0.207590.053962

0.090945-0.199790.032721

0.12159-0.108850.016776

0.0127440.011973

加速度

0.519481

0.708248

0.540579

0.369399

-0.21725

-0.69723

-1.08994

-1.08994

-1.51008

-0.67

0.243498

0.880165

1.000771