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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...

transfer matrix method (tmm) has been applied to analyze characteristics of semiconductor laser optical amplifiers. the input signal is sinusoidal modulating wave and we do not assume the modulating bias signal as well. we have shown that the distoration arises from gain modulation at low modulation frequencies, but in microwave modulation frequencies, the gain takes an average value and the re...

a nonlocal beam model based on the bernoulli–euler beam theory is presented to investigate the dynamic stability of embedded single-walled carbon nanotubes (swcnts) in thermal environment under combined static and periodic axial loads. the dynamic stability analysis is carried out by including the effects of small-scale parameter, temperature change and elastic medium. the equation of motion is...

Fault tolerant systems comprise of subsystems that interact with each other in complex ways [Joh89]. As a result, modeling the reliability of these systems calls for sophisticated analytical techniques. A powerful technique to address this issue is dynamic fault tree analysis [Dug92]. But because the semantics on which Dynamic Fault Trees are based are themselves complex, there was a question o...

‎the purpose of this paper is to offer the equitable method for ranking decision making units(dmus) based on the dynamic data envelopment analysis (ddea) concept, where quasi-fixed inputs or intermediate products are the source of inter-temporal dependence between consecutive periods. in fact, this paper originally makes the use of an approach extending the ranking of dmus in dea by khodabakhsh...