Free vibration of stiffened circular bridge decks

Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates

“…When = / = 0.5, = 4 . The calculation results by conversing to are in good agreement with those exhibited in [14,33,34], which can be seen in Table 1, where the node number is = 11. Figure 3 shows the variation of the first three order dimensionless complex frequencies of the rotating annular sector plate ( = /3, = 0.5) with the dimensionless angular speed for the dimensionless thermoelastic coupling coefficient = 0.…”

“…The first five order natural frequencies of the nonrotating annular sector plate with three different boundary conditions are calculated in the case of = 0.5 and = 0.3. The frequency parameter in this study is defined by = ( 2 /ℎ)√12 (1 − 2 )/ , while the frequency parameter in [14,33,34] is defined by = (( − ) 2 /ℎ)√12 (1 − 2 )/ . When = / = 0.5, = 4 .…”

Vibration of annular sector plates using spline strip method

“…It is convenient to introduce the non-dimensional polar co-ordinate systems (,$, q) [ = 816 and q = ( R -Ri)/B (1) in which 6 is the sector angle, B = R , -Ri, and Ro and Ri are the outer and inner radii of the annular sector plate, respectively. The strain energy due to bending, Up, and the kinetic energy, Tp, of the isotropic annular sector plate with linearly varying thickness in the angular direction are given by…”

Vibration Analysis of Plates With Curvilinear Quadrilateral Planforms by DQM Using Blending Functions

“…The plate geometry is shown in Figure 3. Here, in Table 1, sample results are given for two types of plates, namely, a SSSS plate, simply supported (S) all over the four edges, and a SCSC plate, simply supported on the radial edges and clamped (C) on the [10] using the methodology of Ramakrishnan and Kunukkaseril [11], as well as an eight-term orthogonal polynomial Rayleigh}Ritz solution [10] and the results from reference [5] in which a DQM solution was obtained by using cubic serendipity-family interpolation functions.…”