Vertex-Splitting on a Diamond Origami Pattern

2019 ◽  
Vol 11 (3) ◽  
Author(s):  
Xiao Zhang ◽  
Yan Chen

A diamond origami pattern is a well-known origami pattern consisting of identical six-crease vertices. As each vertex can be modeled as a spherical 6R linkage with three degrees of freedom (DOF), the tessellated pattern with multiple vertices is a multi-DOF system, which makes it difficult to fully control the motion in the desired symmetric manner. Here, two splitting schemes on the diamond vertex are proposed to generate three types of unit patterns to reduce the DOF. This vertex-splitting technique is applied to the multivertex diamond origami pattern to produce several one-DOF basic assemblies, which form a number of one-DOF origami patterns. Two of the one-DOF origami patterns are discussed: one of which is a flat-foldable origami pattern mixed with four- and six-crease vertices and the other is a nonflat-foldable one mixed with four-, five-, and six-crease vertices. In the one-DOF patterns, the symmetrically kinematic property of the original diamond origami pattern is well kept. Such property would significantly facilitate engineering applications comparing to the multi-DOF origami patterns. It also paves a new road to construct one-DOF origami patterns.

2020 ◽  
Vol 17 (4) ◽  
pp. 91-101
Author(s):  
T.N. Soboleva ◽  

The article is devoted to the poorly studied problem of the formation of talent in the conditions of different degrees of freedom in activity and the impact on that formation of a person’s conservative and innovative semantic attitudes towards the introduction of new equipment. The main objective of the study is to describe how the conditions of different degrees of freedom in the activity are refracted with internal conditions, which are conservative and innovative semantic attitudes and various talent structures. The study was conducted on a sample of 54 qualified railway drivers using a specialized simulator which allows to simulate three degrees of freedom in the activity. The psychological analysis of the activity revealed seven abilities ensuring the implementation of the activity. Based on empirical data, the article shows that low, medium and high degrees of freedom in activity are manifested in different degrees of productivity. Conservative and innovative semantic attitudes to the introduction of new equipment do not have a significant effect on the productivity of the activity in the conditions of different degrees of freedom. Along with this, depending on the conservative and innovative semantic attitudes, different structures of talent in terms of composition and degree of integration under the conditions of different degrees of freedom in the activity are formed. On the one hand, conservative and innovative semantic attitudes act as internal determinants; on the other hand, low, medium and high degrees of freedom in the activity act as external determinants of the formation of various talent structures.


Author(s):  
Marco Carricato ◽  
Joseph Duffy ◽  
Vincenzo Parenti-Castelli

Abstract In this article the inverse static analysis of a two degrees of freedom planar mechanism equipped with spiral springs is presented. Such analysis aims to detect the entire set of equilibrium configurations of the mechanism once the external load is assigned. While on the one hand the presence of flexural pivots represents a novelty, on the other it extremely complicates the problem, since it brings the two state variables in the solving equations to appear as arguments of both trigonometric and linear functions. The proposed procedure eliminates one variable and leads to write two equations in one unknown only. The union of the root sets of such equations constitutes the global set of solutions of the problem. Particular attention has been reserved to the analysis of the “reliability” of the final equations: it has been sought the existence of critical situations, in which the solving equations hide solutions or yield false ones. A numerical example is provided. Also, in Appendix it is shown a particular design of the mechanism that offers computational advantages.


2006 ◽  
Vol 532-533 ◽  
pp. 265-268
Author(s):  
Zong Quan Deng ◽  
Guang Ping Hao ◽  
De Wei Tang ◽  
Bao Hua Shan

For the complexity of weld, the automatic inspecting for the tubular joints which are in working is difficult. Therefore the scanner which has three degrees of freedom for inspecting of large-diameter tubular joints was studied and manufactured based on the scanning principle of ultrasonic phased array. The following of probe to weld is realized by the simultaneous motion of two degrees of freedom and the pose between probe and weld is adjusted by the other degree of freedom. The control strategy of the scanner was provided. Experiments were made with scanner on reference blocks, the results indicate that the automatic ultrasonic phased array inspection is more excellent than the conventional ultrasonic inspection in reliability and repetition.


Author(s):  
M. Kümmerle ◽  
B. Aeschlimann ◽  
J. Zoethout ◽  
T. Belfroid ◽  
R. Vuillemin ◽  
...  

Abstract This paper presents the design and the implementation of a contact free Active Magnetic Bearing (AMB) for high precision rotation applications. For controlling five Degrees of Freedom (DOF) of the rotor six coupled reluctance force actuators (creating radial and axial forces at the same time) are used. A method for designing the actuators in order to meet the specifications is described. Two different controller schemes using different sensor configurations have been implemented on a functional prototype: On the one hand a conventional decentralized PID controller, on the other hand a more centralized structure.


Author(s):  
Jochen Autschbach

The simple ‘particle in a box’ (Piab) is introduced in this chapter so that the reader can get familiar with applying the quantum recipe and atomic units. The PiaB is introduced in its one, two, and three dimensional variants, which demonstrates the use of the separation of variables technique as a strategy to solve the Schrodinger equation for a particle with two or three degrees of freedom. It is shown that the confinement of the particle causes the energy to be quantized. The one-dimensional PiaB is then applied to treat the electronic spectra of cyanine dyes and their absorption colors. The chapter then introduces more general setups with finite potential wells, in order to introduce the phenomenon of quantum tunnelling and to discuss more generally with the unintuitive ‘quantum behavior’ of particles such as electrons. Scanning tunnelling and atomic force microscopes are also discussed briefly.


Author(s):  
H. R. Mohammadi Daniali ◽  
P. J. Zsombor-Murray ◽  
Jorge Angeles

Abstract The singularities of the Jacobian matrices of two manipulator with three degrees of freedom are analyzed. One is a planar 3-legged manipulator; the other, a planar double-triangular manipulator. A general classification of parallel-manipulator singularities into three groups is described. The classification scheme relies on the properties of the Jacobian matrices of the manipulator. Finally, the three types of singularity are identified for the two manipulators.


Author(s):  
Miao Zhang ◽  
Fufu Yang ◽  
Jiayao Ma ◽  
Yan Chen ◽  
Zhong You

Resch patterns have a great potential to be utilized in many engineering applications, as they can be folded into curved profiles from planar sheets. They are rigid foldable but with a large number of degrees of freedom (DOF) when there are many units tessellating in the patterns, which constrains the applications due to the difficulty in control the motion symmetrically. In this paper, in order to achieve the single mobility for a limited number of triangular Resch pattern units, the thick-panel technique is employed at each vertex to reduce the DOF to one. Then the compatibility among all the vertices has to be satisfied by the systematical kinematic analysis on the geometric parameters of the Resch pattern and panel thickness. Eventually, two design schemes are obtained to form the one DOF origami structure with doubly-curved intermediate folding configurations, which could be further tessellated into a large pattern for various engineering applications.


Entropy ◽  
2018 ◽  
Vol 20 (10) ◽  
pp. 758 ◽  
Author(s):  
Yair Neuman ◽  
Navot Israeli ◽  
Dan Vilenchik ◽  
Yochai Cohen

To optimize its performance, a competitive team, such as a soccer team, must maintain a delicate balance between organization and disorganization. On the one hand, the team should maintain organized patterns of behavior to maximize the cooperation between its members. On the other hand, the team’s behavior should be disordered enough to mislead its opponent and to maintain enough degrees of freedom. In this paper, we have analyzed this dynamic in the context of soccer games and examined whether it is correlated with the team’s performance. We measured the organization associated with the behavior of a soccer team through the Tsallis entropy of ball passes between the players. Analyzing data taken from the English Premier League (2015/2016), we show that the team’s position at the end of the season is correlated with the team’s entropy as measured with a super-additive entropy index. Moreover, the entropy score of a team significantly contributes to the prediction of the team’s position at the end of the season beyond the prediction gained by the team’s position at the end of the previous season.


Author(s):  
Ulises CORTÉS-RAMÍREZ ◽  
Angélica CASTAÑEDA-ESPINOZA

The Temporomandibular Joint (TMJ) of the human being has three basic functions: speaking, chewing and swallowing; and it is formed by bone, muscle and joint structures, it has three degrees of freedom, two are angular and another one linear, during the chewing process the three degrees of freedom that make it up come into function, of which, one of the problems to solve with this project is to create a mechatronic system that has the ability to reproduce the movements of the TMJ, this so that students of the Dentist Surgeon's career, have a didactic tool of an anatomical model in which they can study and observe their movements, this movements will be generated from mechanisms operated with servomotors, this will directly impact the chairs of Prosthodontics, Orthodontics and Periodontics. On the other hand, knowing in detail the anatomy and physiology of TMJ can help the study of treatments and prevention of diseases or dysfunction of the same.


1992 ◽  
Vol 07 (21) ◽  
pp. 1931-1943 ◽  
Author(s):  
I.A. BATALIN ◽  
S.L. LYAKHOVICH ◽  
I.V. TYUTIN

The new quantization scheme is proposed for theories with second class constraints. The formalism possesses the properties intermediate between those of the conversion method and quantum deformation of the Dirac bracket: on the one hand, all the phase variable operators have nonsingular commutators while the physical states are determined by weak equations; on the other hand, no extra degrees of freedom are introduced.


Sign in / Sign up

Export Citation Format

Share Document