The energy equation adjusting algorithm for the nonlinear dynamic equation with multi-degree of freedom

The energy adjust numerical algorithm for the nonlineardynamic equation with multi-degree of freedom has been proposed. First, bythe Taylor expanded formula and Duhamel integration, an integral iterationformula which has an undetermined parameter has been achieved. Second,through some mathematic approach, the original dynamical equation has beenconverted to an energy adjusting equation which can determine theundetermined parameter. Finally, substituting the parameter into theintegral iteration formula, an accurate numerical value has been achieved.All examples show that the method can eliminate the algorithm damping andhas better stability than the Runge-Kutta method under bigger integral step.