Discussion - Simplified dynamic analysis of slender tapered thin-walled towers with additional mass and rigidity

References

1. Takabatake, H. and Mizuki, A. (1995), "Simplified dynamic analysis of slender tapered thin-walled towers with additional mass and rigidity", Struc. Eng. Mech., 3(1), 61-74. https://doi.org/10.12989/sem.1995.3.1.061
2. Laura, P.A.A., Pombo, J.L. and Susemihl, E.A. (1974), "A note on the vibrations of a clamped-free beam with a mass at the free end", J. Sound. Vib., 37(2), 161-168. https://doi.org/10.1016/S0022-460X(74)80325-1
3. Mabie, H.H., Rogers, C.B. (1974), "Transverse vibrations of doubly-tapered cantilever beams with end support and with end mass", J. Acoust. Soc. Am., 55(5), 986-991. https://doi.org/10.1121/1.1914673
4. Kaiser, J. E., Shaker, B.S. and Nayfeh, A. H. (1974), "Influence of linear thickness on wave propagation in ducts, J. Sound. Vib., 37(2), 169-183. https://doi.org/10.1016/S0022-460X(74)80326-3
5. Goel, R. P. (1976), "Transverse vibrations of tapered beams", J. Sound. Vib., 47(1), 1-7. https://doi.org/10.1016/0022-460X(76)90403-X
6. Bhat, B.R. and Wagner, H. (1976), "Natural frequencies of a uniform cantilever with a tip mass slender in the axial", J. Sound. Vib., 47(1), 1-7. https://doi.org/10.1016/0022-460X(76)90403-X
7. To, C.W. (1982), "Vibrations of a cantilever beam with a base excitation and tip mass", J. Sound. Vib., 83(4), 445-460. https://doi.org/10.1016/S0022-460X(82)80100-4
8. Lau, J. H. (1984), "Vibration frequencies of tapered bars with and mass", J. App. Mech., 51, 179-181. https://doi.org/10.1115/1.3167564
9. Laura, P. A. and Gutierrez, R. H. (1986), "Vibrations of an elastically restrained cantilever beam of varying cross section with tip mass of finite length", J. Sound. Vib., 108(1), 123-131. https://doi.org/10.1016/S0022-460X(86)80316-9