1 |
0,919 |
77,094 |
- |
- |
- |
- |
- |
- |
2 |
0,948 |
7,122 |
78,91 |
86,156 |
- |
- |
- |
- |
4 |
0,935 |
5,468 |
14,457 |
25,298 |
88,152 |
97,645 |
- |
- |
8 |
0,93 |
5,028 |
12,163 |
20,796 |
30,62 |
41,139 |
51,176 |
58,389 |
16 |
0,928 |
4,921 |
11,576 |
18,7 |
27,164 |
35,509 |
44,153 |
49,311 |
32 |
0,928 |
4,894 |
11,431 |
18,7 |
26,285 |
33,933 |
41,614 |
49,311 |
64 |
0,928 |
4,887 |
11,395 |
18,597 |
26,067 |
33,542 |
40,982 |
48,359 |
128 |
0,928 |
4,8865 |
11,391 |
18,585 |
26,042 |
33,498 |
40,909 |
48,250 |
Ref2626 Marur SR, Kant T. Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling. J Sound Vibrat. 1996;194(3):337-51. ƚ |
0,923 |
4,941 |
11,656 |
19,18 |
27,038 |
- |
- |
- |
Ref2020 Chandrashekhara K, Krishnamurthy K, Roy S. Free vibration of composite beams including rotary inertia and shear deformation. Compos Struct. 1990;14(4):269-79. |
0,924 |
4,893 |
11,44 |
18,697 |
26,212 |
- |
- |
- |
Ref2323 Chandrashekhara K, Bangera KM. Vibration of symmetrically laminated clamped-free beam with a mass at the free end. J Sound Vibrat. 1993;160(1):93-101. |
0,923 |
4,888 |
11,433 |
18,689 |
26,203 |
- |
- |
- |
Ref2626 Marur SR, Kant T. Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling. J Sound Vibrat. 1996;194(3):337-51. |
0,924 |
4,985 |
11,832 |
19,573 |
27,72 |
- |
- |
- |
Ref3131 Ramtekkar GS, Desai YM, Shah AH. Natural vibrations of laminated composite beams by using mixed finite element modelling. J Sound Vibrat. 2002;257(4):635-51. |
0,925 |
4,996 |
11,879 |
19,737 |
28,174 |
37,079 |
46,632 |
56,405 |
Ref3434 Marur SR, Kant T. On the angle ply higher order beam vibrations. Comput Mech. 2007;40(1):25-33. |
0,921 |
4,888 |
11,433 |
18,689 |
26,203 |
- |
- |
- |
Ref3939 Tornabene F, Fantuzzi N, Bacciocchi M. Refined shear deformation theories for laminated composite arches and beams with variable thickness: natural frequency analysis. Eng Anal Bound Elem. 2019;100:24-47. |
0,924 |
4,882 |
11,403 |
18,622 |
26,091 |
33,548 |
40,943 |
48,257 |
Note
|
|
|
|
|
|
|
|
|
Ref2626 Marur SR, Kant T. Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling. J Sound Vibrat. 1996;194(3):337-51. ƚ |
Timoshenko Theory (1996) |
|
|
|
Ref2020 Chandrashekhara K, Krishnamurthy K, Roy S. Free vibration of composite beams including rotary inertia and shear deformation. Compos Struct. 1990;14(4):269-79. |
Analytic Solution - First Order shear Deformation (1990) |
|
Ref2323 Chandrashekhara K, Bangera KM. Vibration of symmetrically laminated clamped-free beam with a mass at the free end. J Sound Vibrat. 1993;160(1):93-101. |
Laminated Plate Theory - Mass at free End (1993) |
|
Ref2626 Marur SR, Kant T. Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling. J Sound Vibrat. 1996;194(3):337-51. |
High Order Theory (1996) |
|
|
|
Ref3131 Ramtekkar GS, Desai YM, Shah AH. Natural vibrations of laminated composite beams by using mixed finite element modelling. J Sound Vibrat. 2002;257(4):635-51. |
Mixed finite element modelling (2002) |
|
|
Ref3434 Marur SR, Kant T. On the angle ply higher order beam vibrations. Comput Mech. 2007;40(1):25-33. |
High Order Theory (2007) |
|
|
|
Ref3939 Tornabene F, Fantuzzi N, Bacciocchi M. Refined shear deformation theories for laminated composite arches and beams with variable thickness: natural frequency analysis. Eng Anal Bound Elem. 2019;100:24-47. |
Generalized Differential Quadrature (2019) |
|
|