Closed-form solutions for vibrations analysis of cracked Timoshenko beams on elastic medium: An analytically approach
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DOI: 10.1016/j.engstruct.2021.111946
Abstract: Abstract In this paper a novel analytically method for analysing the dynamic behaviour of Timoshenko beam model, resting on Winkler-type elastic soil, under simply-supported boundary condition and with a crack is proposed. The beam is… read more here.
Keywords: closed form; timoshenko beams; auxiliary functions; beam ... See more keywords
Approximate Closed-Form Solutions for the Rabinovich System via the Optimal Auxiliary Functions Method
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DOI: 10.3390/sym14102185
Abstract: Based on some geometrical properties (symmetries and global analytic first integrals) of the Rabinovich system the closed-form solutions of the equations have been established. The chaotic behaviors are excepted. Moreover, the Rabinovich system is reduced… read more here.
Keywords: system; rabinovich system; optimal auxiliary; auxiliary functions ... See more keywords