Shock and Vibration / 2018 / Article / Tab 1

Research Article

Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams

Table 1

Absolute percentage of error in moment and shear prediction of perturbation methods compared to analytical results.

Method Moment at Shear at Moment at Shear at Moment at Shear at

Clamped-ClampedClamped-FreeFree-Free
1st Grad.62.94%44.40%21.44%17.84%9.90%35.02%11.05%33.43%32.74%0.89%31.64%2.54%
2nd Grad.15.99%5.32%4.55%0.67%2.33%7.73%2.42%6.87%10.24%0.32%9.53%0.82%
-Diff.----0.64%1.89%0.58%1.36%----
-Pert.----0.56%1.60%0.49%1.09%----
-Diff.12.48%9.04%3.28%2.06%----6.28%0.22%5.64%0.52%
-Pert.12.48%9.04%3.28%2.06%----6.28%0.22%5.64%0.52%