Abstract
The new method for the determination of the dynamic characteristics of reticulated domes is proposed. Reticulated domes are built of composite rods. Each rod contains two layers made of elastic and viscoelastic materials, respectively. The viscoelastic material is modeled using the Zener model with fractional derivatives. A new formulation for the composite rod is proposed. The natural frequencies, the non-dimensional damping ratios and the modes of vibration are obtained as a solution to the nonlinear eigenvalue problem, which is solved using the continuation method. Moreover, the frequency response functions are determined in the usual way. The results of representative calculations are also presented and briefly discussed.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
