Research Article

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

Table 3

The first nondimensional fundamental frequency of the beam resting on Winkler–Pasternak elastic foundation, , S-S.

a/h = 100
nModeAnalytical method [48]This work
6 elements8 elements10 elements12 elements14 elements

Without elastic foundation

015.4835.4835.4835.4835.4835.483
221.93321.93121.92421.92221.92121.921
349.35049.38949.31849.29649.28849.284
114.2214.2204.2204.2204.2204.220
216.88416.88416.87916.87716.87616.876
337.98938.03037.97537.95837.95237.949
213.8523.8513.8513.8513.8513.851
215.40715.40815.40315.40215.40115.401
334.66634.70734.65734.64134.63534.633

With elastic foundation

016.0156.0146.0146.0146.0146.014
222.44522.44222.43622.43422.43322.433
349.85849.89149.82449.80349.79649.792
115.0085.0075.0075.0075.0075.007
217.66617.66417.66017.65917.65817.658
338.7738.80138.75338.73838.73238.729
214.7524.7524.7524.7524.7524.752
216.31616.31516.31116.31016.31016.309
335.57735.60635.56435.55035.54535.543