An indicator to quantify the complexity of signals and surfaces based on scaling behaviors transcending fractal

Li, Zhiwei; Wang, Jianjian; Meng, Yuan; Wang, Zhongyu; Feng, Pingfa; Feng, Feng

doi:10.1016/j.chaos.2022.112556

Cited by 5 publications

(2 citation statements)

References 56 publications

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“…Because of the porous and thin-walled characteristics of NHCs, it is difficult to observe the discontinuous machined surface. The fractal dimension, which is a core parameter representing the irregularity and fragmentary properties of a self-affine surface [ 35 , 36 ] can be an effective indicator to quantitatively evaluate the machined surfaces of NHCs. Therefore, the surface qualities of the machined NHCs were quantitatively characterized using fractal dimension analysis.…”

Section: Methodsmentioning

confidence: 99%

Enabling Thin-Edged Part Machining of Nomex Honeycomb Composites via Optimizing Variable Angle of Disc Cutters

et al. 2023

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Machining Nomex honeycomb composites (NHCs), which are widely-used materials in the aerospace industry, is an imperative process to obtain desired profiles. However, when machining NHCs to obtain a thin-edged surface, some problems can arise due to large cutting forces. To avoid these defects, a method of ultrasonic vibration machining with variable angles of the down milling disc cutter was proposed in this study. The processing principles and motion characteristics of this method were elaborated. A theoretical model of its cutting process was established. The principle of cutting force reduction was qualitatively analyzed based on the model, and an experimental validation was conducted. The results demonstrated that, due to a smaller swing angle in each pass, the proposed method could reduce the fractal dimension of the machined surface by 6.01% compared to 1° with 10° of angle in each pass. And severe machining defects were decreased. Additionally, comparing the process of the fixed 10° angle of ultrasonic vibration machining with the process of a 1° angle in a pass, cutting force can be significantly reduced by 33.5%, demonstrating the effectiveness of the proposed method which improved surface quality by reducing cutting forces.

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Section: Methodsmentioning

confidence: 99%

Enabling Thin-Edged Part Machining of Nomex Honeycomb Composites via Optimizing Variable Angle of Disc Cutters

et al. 2023

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“…In neural systems, complexity can have major advantages from a behavioral point of view as it can confer flexibility and rapid learning. It has been observed that even for superficially monotonous behaviors such as locomotion, healthy individuals exhibit high complexity, across multiple time scales, whereas aged subjects and neurological patients display impaired behavioral complexity [2][3][4][5] . Kinematic variability has also been identified at a more detailed level 6 .…”

Section: Introductionmentioning

confidence: 99%

High-dimensional cortical signals reveal rich bimodal and working memory-like representations among S1 neuron populations

Kristensen,

Kesgin,

Jörntell

2024

Preprint

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Complexity is important for flexibility of natural behavior and for the remarkably efficient learning of the brain. Here we assessed the signal complexity among neuron populations in somatosensory cortex (S1). To maximize our chances of capturing population level signal complexity, we used highly repeatable resolvable visual, tactile and visuo-tactile inputs and neuronal unit activity recorded at high temporal resolution. We found the state space of the spontaneous activity to be extremely high-dimensional in S1 populations. Their processing of tactile inputs was profoundly modulated by visual inputs and even fine nuances of visual input patterns were separated. Moreover, the dynamic activity states of the S1 neuron population signaled the preceding specific input long after the stimulation had terminated, i.e. resident information that could be a substrate for a working memory. Hence, the recorded high dimensional representations carried rich multimodal and internal working memory-like signals supporting high complexity in cortical circuitry operation.

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Surface integrity of Nomex honeycomb composites after ultrasonic vibration machining by using disc cutters

Xu,

Zhang,

Zha

et al. 2023

Journal of Manufacturing Processes

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An indicator to quantify the complexity of signals and surfaces based on scaling behaviors transcending fractal

Cited by 5 publications

References 56 publications

Enabling Thin-Edged Part Machining of Nomex Honeycomb Composites via Optimizing Variable Angle of Disc Cutters

Enabling Thin-Edged Part Machining of Nomex Honeycomb Composites via Optimizing Variable Angle of Disc Cutters

High-dimensional cortical signals reveal rich bimodal and working memory-like representations among S1 neuron populations

Surface integrity of Nomex honeycomb composites after ultrasonic vibration machining by using disc cutters

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