We study a robot hand model involving fibonacci sequence. Fingers are modeled via hyper-redundant planar manipulators. Binary controls rule the dynamics of the hand, in particular the extension and the rotation of eac...
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ISBN:
(纸本)9781479979202
We study a robot hand model involving fibonacci sequence. Fingers are modeled via hyper-redundant planar manipulators. Binary controls rule the dynamics of the hand, in particular the extension and the rotation of each phalanx. By estabilishing a relation with Iterated Function Systems, we investigate the reachable workspace and its convex hull. Finally, we give an explicit characterization of the convex hull of the reachable workspace in a particular case.
Purpose - The purpose of this paper is to design the geometrical structure of banana screen, and this study aims to improve the screen efficiency. Design/methodology/approach - The discrete element method was used to ...
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Purpose - The purpose of this paper is to design the geometrical structure of banana screen, and this study aims to improve the screen efficiency. Design/methodology/approach - The discrete element method was used to simulate the sieving process of banana screen with the inclinations of decks improved by fibonacci sequence. The effect of each deck along screen length on the screening efficiency of particles was studied in this paper. Findings - The comparisons among three groups of industrial banana screens with five different consecutive fibonacci numbers have been made, and the variations of fine particle ratio were also investigated. The results show that the banana screening improved by the 5 fibonacci sequence, 3, 5, 8, 13 and 21, has the good screening performance in the simulation. It is found that the inclination degree of the first deck at the feed end is the key factor to determine screening efficiency of banana screens. Practical implications - It is not possible to consider all real physical factors exactly in a virtual model. The experiment prototype of banana screen was used to simply verify the feasibility of the methodology. Originality/value - This work is helpful for designing the geometric parameters of the curved screen and gives a broad perspective to improve the efficiency of banana screens.
In this paper, we obtain the period of generalized fibonacci sequence in finite rings with identity of order p2 by using equality recursively defined by Fn＋2 = A1Fn＋1 ＋ A0Fn, for n ≥ 0, where F0 = 0 （ the zero of...
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In this paper, we obtain the period of generalized fibonacci sequence in finite rings with identity of order p2 by using equality recursively defined by Fn＋2 = A1Fn＋1 ＋ A0Fn, for n ≥ 0, where F0 = 0 （ the zero of the ring）, F1 = 1 （the identity of the ring） and A0 , A1 are generators elements of finite rings with identity of order p2. Also, we get some results between the period of generalized fibonacci sequence in the finite rings oforderp2 and characteristic of these rings.
Chaotic maps have found applications in a wide range of fields. However, many existing one-dimensional (1-D) chaotic maps suffer from limitations. Their smaller chaotic regions restrict their effectiveness in areas li...
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Chaotic maps have found applications in a wide range of fields. However, many existing one-dimensional (1-D) chaotic maps suffer from limitations. Their smaller chaotic regions restrict their effectiveness in areas like cryptography and nonlinear dynamics modeling, where randomness and security are crucial. This article proposes a novel approach that utilizes a fibonacci sequence-based 1-D chaotic map model to address these limitations and achieve a more comprehensive chaotic range. The study compares the proposed model against six commonly used 1-D maps: 1) Logistic;2) Sine;3) Chebyshev;4) Quadratic;5) Simple Quadratic;and 6) Singer. We evaluate the enhanced chaotic maps using various chaos dynamical tests, including bifurcation diagrams, Lyapunov exponents, 2-D and 3-D phase plots, the 0-1 test, cobweb plots, and approximate and sample entropies. The results confirm that all FCM maps consistently exhibit chaotic behavior across the entire control parameter space, with higher positive Lyapunov exponents, and larger approximate and sample entropy values. The 0-1 test yields an indicator value near the ideal value of 1, with linear M-t plots and p-q plots exhibiting chaotic Brownian motion. The cobweb plot for all maps displayed intricate, dense trajectories, while the 2-D and 3-D plots displayed points filling the entire phase space. Additionally, the enhanced FCM map-based pseudorandom bit generator (PRBG) has been designed and assessed for operational efficiency, speed, and security. The findings validate that the PRBG achieves high resource efficiency, and successfully passes all 15 NIST tests for statistical randomness. The comprehensive evaluation results demonstrate the efficacy of the proposed maps and PRBG, making them a promising and preferable choice for various practical applications.
Differential evolution（DE） is an excellent global optimizer, which has been used to optimize various engineering problems. In recent years, the radio frequency identification technology（RFID） has been applied to m...
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Differential evolution（DE） is an excellent global optimizer, which has been used to optimize various engineering problems. In recent years, the radio frequency identification technology（RFID） has been applied to many fields. However, it is not an easy task to design an efficient RFID antenna. The antenna structure is usually complex and it is difficult to find a suitable parameter set. In this paper, we try to use DE to design a RFID antenna with fibonacci sequence quasi Yagi structure. Simulation results show that DE can successfully design the antenna. The obtained antenna size is 30 mm × 20 mm. Its simulation center frequency is 60 GHz and the center frequency gain approximates 8 dB. In the frequency band 59.5-60.5 GHz, the frequency echo loss is less than-10 dB and the minimum value is-111 dB.
By changing the initial values in entangled fibonacci-sequence spiral sources in Simon et al.'s (2013) experimental setup [13], we propose a controllable quantum private query protocol. Moreover, our protocol achi...
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By changing the initial values in entangled fibonacci-sequence spiral sources in Simon et al.'s (2013) experimental setup [13], we propose a controllable quantum private query protocol. Moreover, our protocol achieves flexible key expansion and even exhibits secure advantages during communications because of the following observations. We observe the close relationships between Lucas numbers and the first kind of Chebyshev maps, and the Chebyshev maps and k-Chebyshev maps;by adjusting the parameter m in k-Chebyshev maps, Alice and Bob can obtain their expected values of the key blocks and database respectively. (C) 2015 Elsevier B.V. All rights reserved.
The output power of PV module is one variable function to the voltage or current under a certain weather condition,so we need to track the maximum power point in older to get the maximum output *** the maximum power p...
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The output power of PV module is one variable function to the voltage or current under a certain weather condition,so we need to track the maximum power point in older to get the maximum output *** the maximum power point can be regarded as searching the maximum point of PV module's output P-V curve,we analyse the P-V characteristics of PV module under uniform irradiation condition firstly in this paper,narrow the search interval,and then propose a maximum power point tracking(MPPT) algorithm using fibonacci sequence based on the monotonic of P-V *** to the new search interval and fibonacci sequence,the proposed MPPT algorithm is more efficiency,fast and *** effectiveness of the proposed algorithm is investigated and confirmed by simulation results at the end of this paper.
This paper presents the equivalence between a fibonacci sequence weighted Successive Approximation Register type A-D converter (SAR ADC) and an SAR ADC based on the golden section search algorithm using the unimodal f...
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This paper presents the equivalence between a fibonacci sequence weighted Successive Approximation Register type A-D converter (SAR ADC) and an SAR ADC based on the golden section search algorithm using the unimodal function obtained by the absolute value of the difference between the input voltage and the output of the internal DAC. The golden section search algorithm is used for finding effectively the extreme value of the unimodal function. We have designed an SAR ADC configuration based on this golden section search, and we show that this is equivalent to the fibonacci sequence weighted SAR ADC. We explain their principle, configuration, and operation as well as some simulation results.
Let F n be the n th fibonacci number. The order of appearance z (n) of a natural number n is defined as the smallest natural number k such that n divides Fk. For instance, for all n = Fm ≥ 5, we have z (n - 1) > z...
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