2022
DOI: 10.24200/sci.2022.58345.5686
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Parametric investigations on dynamics of cracked thin rectangular plates, excited by a moving mass

Abstract: The dynamic analysis of cracked thin rectangular plates subjected to a moving mass, first is investigated in this paper. To this end, the eigenfunction expansion method is utilized to solve the ruling differential equation of motion. For the first time, intact plate orthogonal polynomials, in the combination with the well-known corner functions, as a composition, are employed in the governing equation, required the professional computer programming, to solve the equation. The proposed solutions, afford upper b… Show more

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Cited by 6 publications
(6 citation statements)
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“…Then, for the bimaterially defective nanowires, the nonlocal-surface energy-based motion equations were derived using the DNM and INM, and the results predicted using the meshfree method based on the DNM were verified by comparing them with those obtained using the Galerkin-based admissible mode method [32]. In terms of the COPs method for the plates, the dynamic analysis of cracked thin rectangular plates subjected to a moving mass was investigated, the governing equation was solved using the eigenfunction expansion method, and the results indicated that the moving mass had a greater impact than the moving load on the dynamic responses of cracked plates [33]. Following that, the dynamical analysis of such a class of plates bearing a moving nonstationary random load was conducted, and an inclusive parametric study was performed to investigate the influences of the inclined crack angles and the crack lengths on the nondimensional functions of the squared mean values at the middle point of the undamped and damped cracked plates [34].…”
Section: Discussionmentioning
confidence: 93%
“…Then, for the bimaterially defective nanowires, the nonlocal-surface energy-based motion equations were derived using the DNM and INM, and the results predicted using the meshfree method based on the DNM were verified by comparing them with those obtained using the Galerkin-based admissible mode method [32]. In terms of the COPs method for the plates, the dynamic analysis of cracked thin rectangular plates subjected to a moving mass was investigated, the governing equation was solved using the eigenfunction expansion method, and the results indicated that the moving mass had a greater impact than the moving load on the dynamic responses of cracked plates [33]. Following that, the dynamical analysis of such a class of plates bearing a moving nonstationary random load was conducted, and an inclusive parametric study was performed to investigate the influences of the inclined crack angles and the crack lengths on the nondimensional functions of the squared mean values at the middle point of the undamped and damped cracked plates [34].…”
Section: Discussionmentioning
confidence: 93%
“…Calculating BRILs under vehicle loading necessitates the consideration both of dynamic parameters and the forced motion of the structure [24,25]. This differs from the basic assumptions of ILs in structural mechanics.…”
Section: Experimental Overviewmentioning
confidence: 99%
“…Shaking table tests can also be performed on the overall structural model using this type of wall panel. Additionally, the theoretical models proposed in references [27][28][29] regarding the behavior of cracked plate-like structures under dynamic loading are helpful for studying the vibration characteristics of structures. We also consider conducting research in this area in the future.…”
Section: Future Workmentioning
confidence: 99%