Numerical-computational model for modal and transient analysis of shear building using the Scilab program

Vibration is everywhere in our everyday lives. Nowadays, with the advancement of computational methods and materials science, civil structures are increasingly flexible and slender. High structural flexibility leads to large vibration amplitudes that can be transmitted to people in buildings, causing discomfort, loss of work efficiency due to fatigue and even serious health changes. In this context, a numerical-computational approach is presented for the modal and transient analysis of Shear Building-type structures using the open-source program Scilab. The effect of damping on the structure is described by the Rayleigh damping model. A study with the TMD passive control system installed on top of the structure is presented. The TMD is a mass-spring system that serves to reduce the vibration amplitude of the main structural system. The numerical approach presented helps physics, and engineering students regarding vibration analysis of structural systems. The methodology described for dynamic analysis is relatively easy to implement computationally and the numerical results had good precision and agreed with the results available in the literature.

Keywords:
Jacobi method; TMD; damping; linear dynamic analysis; shear building