Articles with "form equation" as a keyword



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Closed-form equation for natural frequencies of beams under full range of axial loads modeled with a spring-mass system

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Published in 2019 at "International Journal of Mechanical Sciences"

DOI: 10.1016/j.ijmecsci.2019.02.014

Abstract: Abstract A new simple closed-form equation that accurately predicts the effect of an arbitrarily large constant axial load, residual stress or temperature shift on the natural frequencies of an uniform single-span beam, with various end… read more here.

Keywords: closed form; form equation; range; equation ... See more keywords
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A canonical form of the equation of motion of linear dynamical systems

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Published in 2018 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"

DOI: 10.1098/rspa.2017.0809

Abstract: The equation of motion of a discrete linear system has the form of a second-order ordinary differential equation with three real and square coefficient matrices. It is shown that, for almost all linear systems, such… read more here.

Keywords: form equation; canonical form; equation; motion linear ... See more keywords