The free vibration mode shapes have certain special properties which are very useful in structural dynamic analysis. For structures with a large number of joints , it is often necessary to reduce the number of degrees of freedom hy simplifying the structure or by condensing the stiffness and mass matrices. Three popular methods of condensation applied in dynamic structures are presented. The natural frequencies and corresponding modal shapes for convex, eoneave and concave-convex cable roofs are studied. Also, effect of initial tensions in cables, both sag and rise to span ratios, distance between vertical ties, and symmetric and asymmetric of loads on the frequencies for all three types of roofs are outlined . All computer programs for construction of overall stiffness and mass matrices, solution of free vibration equation using exact technique and eondensation are constructed by the author.
Naguib, M. (2021). Natural Frequencies and Modes of Vibrations for Cable Roofs.. MEJ- Mansoura Engineering Journal, 21(2), 25-42. doi: 10.21608/bfemu.2021.151855
MLA
M. Naguib. "Natural Frequencies and Modes of Vibrations for Cable Roofs.". MEJ- Mansoura Engineering Journal, 21, 2, 2021, 25-42. doi: 10.21608/bfemu.2021.151855
HARVARD
Naguib, M. (2021). 'Natural Frequencies and Modes of Vibrations for Cable Roofs.', MEJ- Mansoura Engineering Journal, 21(2), pp. 25-42. doi: 10.21608/bfemu.2021.151855
VANCOUVER
Naguib, M. Natural Frequencies and Modes of Vibrations for Cable Roofs.. MEJ- Mansoura Engineering Journal, 2021; 21(2): 25-42. doi: 10.21608/bfemu.2021.151855
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