Research Article

On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation

Table 4

The dependence of the first three nondimensional fundamental frequencies of the cantilever rotational beam on rotational speed .

Vibration modeMethodRotational speed ratio

This work3.51614.67907.073412.6098
Exact [50]3.51604.79737.360413.1702
DMM [51]3.51604.79737.3604
Isogeometric [43]3.51184.77337.3276

This work22.024723.119726.111036.4500
Exact [50]22.034523.320326.809137.6031
DMM [51]
Isogeometric [43]

This work61.625462.760266.024277.4512
Exact [50]61.697262.985066.684079.6145
DMM [51]
Isogeometric [43]

This work120.647121.843125.348138.295
Exact [50]120.902122.236126.140140.534
DMM [51]
Isogeometric [43]