2018
DOI: 10.1016/j.tws.2018.06.015
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Prediction and application of energy absorption characteristics of thin-walled circular tubes based on dimensional analysis

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Cited by 25 publications
(11 citation statements)
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“…• the direct analysis of the differential relations that describe the phenomenon, in order to establish the dimensionless groups, does not always allow the unitary establishment of the complete set of these dimensionless groups; • also, the classical methodology (CDA) is usually cumbersome and non-unitary, allowing different researchers to obtain different sets of dimensionless variables; • in order to obtain these dimensionless groups, the authors of different works use, based on the application of Buckingham's theorem, either the normalization of the terms of the differential relations related to the phenomenon describing the phenomenon, or a rather arbitrary and unambiguous combination of variables involved in describing the phenomenon of the main measure (dimensions), which takes place in each author according to his own logic, so it is a non-unitary approach to the phenomenon. Thus, based on these approaches, different sets of dimensionless variables may result, which may even represent combinations of those deduced by other authors [36,[38][39][40][41][42][43][44][45][46][47]. • the classical methodology, i.e., CDA, presupposes from the very beginning a deep knowledge of the phenomenon and of the differential relations that govern the phenomenon, which for an ordinary researcher represents an impediment; • the classical methodology, including those presented in the papers [22,23,25,[27][28][29][30], does not explicitly allow highlighting from the very beginning of the set of independent variables or dependent variables, but applies a hard-to-follow (and often unexplained) logic of how these two sets were chosen; • the involvement from the very beginning, in approaching with the help of the dimensional analysis of the phenomenon, of some very complicated differential relations whose analysis will eventually lead to the establishment of these dimensionless groups, discourages the vast majority of researchers/engineers from using a safe, unified, and simple way to approach the problem, as will happen with MDA;…”
Section: Discussionmentioning
confidence: 97%
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“…• the direct analysis of the differential relations that describe the phenomenon, in order to establish the dimensionless groups, does not always allow the unitary establishment of the complete set of these dimensionless groups; • also, the classical methodology (CDA) is usually cumbersome and non-unitary, allowing different researchers to obtain different sets of dimensionless variables; • in order to obtain these dimensionless groups, the authors of different works use, based on the application of Buckingham's theorem, either the normalization of the terms of the differential relations related to the phenomenon describing the phenomenon, or a rather arbitrary and unambiguous combination of variables involved in describing the phenomenon of the main measure (dimensions), which takes place in each author according to his own logic, so it is a non-unitary approach to the phenomenon. Thus, based on these approaches, different sets of dimensionless variables may result, which may even represent combinations of those deduced by other authors [36,[38][39][40][41][42][43][44][45][46][47]. • the classical methodology, i.e., CDA, presupposes from the very beginning a deep knowledge of the phenomenon and of the differential relations that govern the phenomenon, which for an ordinary researcher represents an impediment; • the classical methodology, including those presented in the papers [22,23,25,[27][28][29][30], does not explicitly allow highlighting from the very beginning of the set of independent variables or dependent variables, but applies a hard-to-follow (and often unexplained) logic of how these two sets were chosen; • the involvement from the very beginning, in approaching with the help of the dimensional analysis of the phenomenon, of some very complicated differential relations whose analysis will eventually lead to the establishment of these dimensionless groups, discourages the vast majority of researchers/engineers from using a safe, unified, and simple way to approach the problem, as will happen with MDA;…”
Section: Discussionmentioning
confidence: 97%
“…In the paper [41], the dimensionless groups are arbitrarily defined, based on a combination, according to their own logic.…”
Section: Discussionmentioning
confidence: 99%
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“…The design of experiments (DOE), the sampling determines the number and the spatial distribution of conduct a reasonable statistical analysis of the experi The hammersley sequence leads to a nearly quadratic r compared with the uniform sampling method, and th while maintaining the same level of accuracy [35]. In th method was adopted, and 50 levels for each variable we model.…”
Section: Design Of Experimentsmentioning
confidence: 99%
“…In recent years, thin-walled structures have been widely used as energy-absorbing devices because of their low masses and high energy absorption efficiencies. 1 As thin-walled structures, aluminium honeycombs, owing to their properties including low density, high specific energy absorption, and controllable deformation, have also been widely used as energy absorbers. 2,3…”
Section: Introductionmentioning
confidence: 99%