Mathematical Problems in Engineering / 2009 / Article / Tab 3

Research Article

Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method

Table 3

Comparison of approximate and “Exact” frequencies for Case  3.

Constant parametersApproximate solutionsExact solution

1251−415.96875.88855.88921.35%0.011%
35255−514.179813.871013.87522.20%0.011%
15515−59.79809.60969.61191.94%0.023%
1051010203015.099714.776314.78062.16%0.029%
51050−0.01−20402.62682.54522.54683.14%0.064%
1001105202510.236610.054510.05641.79%0.020%
501005010010025112.5067110.0293110.06332.22%0.031%
1000100200300400200314.6461307.7164307.81152.17%0.031%

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