in this paper, the rayleigh's quotient and the inverse vector iteration method are presented. the latter approach helps to obtain the natural frequencies and mode shapes of a structure. inverse vector iteration method with shifting enables to determine the higher modes. some basic theorems of linear algebra are presented and extended to study the free vibration of structures. the variation...

the application of energy absorbing systems in the structures are one of the main methods in attenuation of earthquake effects. in this paper, the vibration control of structures by using of tube inversion systems is considered. in this novel system, the energy is dissipated by the inversion of a metal tube. this energy dissipater has large energy absorbing capacity along with constant stiffnes...

Transmission of blast waves is a complex phenomenon and the characteristics vary with blast design parameters and geo-technical properties of medium. Frequency of vibration and triggering component for structural excitation generally quantifies safe vibration magnitude. At closer distance or higher elevations than the blast locations, vertical or transverse component will be the first arrival t...

Tuned Liquid Dampers (TLD) are among passive control devices that have been used to suppress the vibration of structures in recent years. These structures must be adequately presentable as an equivalent single degree of freedom system with long fundamental period. The TLD, located at the top floors of the structure, can dissipate the external input energy into the system through the sloshing ef...

Tuned Liquid Dampers (TLD) are among passive control devices that have been used to suppress the vibration of structures in recent years. These structures must be adequately presentable as an equivalent single degree of freedom system with long fundamental period. The TLD, located at the top floors of the structure, can dissipate the external input energy into the system through the sloshing ef...

A review of previous studies shows that there are two general views on how to determine demand in structures through incremental nonlinear static analysis. In the first view, multi-modal methods are used to determine demand in structures. In this view, the applied load pattern is applied to the structure according to the shape of each vibration mode, assuming that the structure deformation foll...

Random vibration analysis of tall structures faces multiple problems due to the large number of elements and high degrees of freedom; that is why this type of analysis is mostly used in simple structures and low degrees of freedom. In the past two decades, changes have been occurred in this type of analysis to be used in complex structures and the large number of elements. Pseudo-Excitation Met...