Construction, Mobility Analysis and Synthesis of Polyhedra With Articulated Faces

2013 ◽  
Vol 6 (1) ◽  
Author(s):  
Thierry Laliberté ◽  
Clément Gosselin

The concept of polyhedra with articulated faces is investigated in this paper. Polyhedra with articulated faces can be described as polyhedral frameworks, whose faces are constrained to remain planar. A mechanical arrangement based on a single type of component is proposed for the construction of the polyhedra. Then, the determination of their infinitesimal and full-cycle mobility is addressed. In some cases, they are rigid structures while in others they are articulated mechanisms. Finally, examples are given, using simulation and physical models, and several new families of articulated polyhedra are synthesized.

Universe ◽  
2021 ◽  
Vol 7 (7) ◽  
pp. 222
Author(s):  
Maxim Khlopov

A.D. Sakharov’s legacy in now standard model of the Universe is not reduced to baryosynthesis but extends to the foundation of cosmoparticle physics, which studies the fundamental relationship of cosmology and particle physics. Development of cosmoparticle physics involves cross-disciplinary physical, astrophysical and cosmological studies of physics Beyond the Standard model (BSM) of elementary particles. To probe physical models for inflation, baryosynthesis and dark matter cosmoparticle physics pays special attention to model dependent messengers of the corresponding models, making their tests possible. Positive evidence for such exotic phenomena as nuclear interacting dark atoms, primordial black holes or antimatter globular cluster in our galaxy would provide the selection of viable BSM models determination of their parameters.


2021 ◽  
Vol 38 (4) ◽  
Author(s):  
Olga Kalaman ◽  
Tetiana Stupnytska ◽  
Yurii Melnyk ◽  
Karine Doicheva

The purpose of the presented research is to analyze, systematize and formulate an enterprise strategy based on the analysis and synthesis of opportunities and threats of the external environment in combination with its strengths and weaknesses. Unconventional structuring of SWOT-factors, as well as their local synthesis for determination of the driving and inhibiting forces of the enterprise, has been offered. Ways to identify trends and patterns of external and internal environment based on a generalized model of SWOT-factors have been identified. Decisive in formulating a strategy (self-organized in nature) is a harmonization model of the goals system. General theoretical methods (analogy, abstraction, analysis and synthesis, idealization, imaginary modeling) and practical methods of research (observation, comparison, matching, analysis of statistical and other indicators) were used to solve the problems of the research. Methods such as empirical, statistical, graphical, etc. were used to process and summarize information.Thus, the approach study to the enterprise strategy formation based on the analysis and synthesis of the environment opportunities and threats in combination with its strengths and weaknesses allows to state that the development of a common structured list of major areas of enterprise activity is carried out taking into account the synthesis of all SWOT-analysis of the brand product, competitors and market segments, which allows the company to achieve a certain specific purpose of its activities.


2014 ◽  
Vol 45 (2) ◽  
pp. 64 ◽  
Author(s):  
Chiara Cevoli ◽  
Angelo Fabbri ◽  
Simone Virginio Marai ◽  
Enrico Ferrari ◽  
Adriano Guarnieri

Thermal conductivity of a food material is an essential physical property in mathematical modelling and computer simulation of thermal processing. Effective thermal conductivity of non-homogeneous materials, such as food matrices, can be determined experimentally or mathematically. The aim of the following research was to compare the thermal conductivity of short pastry biscuits, at different baking stages (60-160 min), measured by a line heat source thermal conductivity probe and estimated through the use of thermo-physical models. The measures were carried out on whole biscuits and on powdered biscuits compressed into cylindrical cases. Thermal conductivity of the compacted material, at different baking times (and, consequently at different moisture content), was then used to feed parallel, series, Krischer and Maxwell-Eucken models. The results showed that the application of the hot wire method for the determination of thermal conductivity is not fully feasible if applied directly to whole materials due to mechanical changes applied to the structure and the high presence of fats. The method works best if applied to the biscuit component phases separately. The best model is the Krischer one for its adaptability. In this case the value of biscuit thermal conductivity, for high baking time, varies from 0.15 to 0.19 Wm<sup>–1</sup> K<sup>–1</sup>, while the minimum, for low baking time, varies from 0.11 to 0.12 Wm<sup>–1</sup> K<sup>–1</sup>. These values are close to that reported in literature for similar products.


2015 ◽  
Vol 10 (S318) ◽  
pp. 170-176 ◽  
Author(s):  
Josef Ďurech ◽  
Josef Hanuš ◽  
Victor M. Alí-Lagoa ◽  
Marco Delbo ◽  
Dagmara A. Oszkiewicz

AbstractAsteroid disk-integrated sparse-in-time photometry can be used for determination of shapes and spin states of asteroids by the lightcurve inversion method. To clearly distinguish the correct solution of the rotation period from other minima in the parameter space, data with good photometric accuracy are needed. We show that if the low-quality sparse photometry obtained from ground-based astrometric surveys is combined with data from the Wide-field Infrared Survey Explorer (WISE) satellite, the correct rotation period can be successfully derived. Although WISE observed in mid-IR wavelengths, we show that for the period and spin determination, these data can be modelled as reflected light. The absolute fluxes are not required since only relative variation of the flux over the rotation is sufficient to determine the period. We also discuss the potential of combining all WISE data with the Lowell photometric database to create physical models of thousands of asteroids.


1989 ◽  
Vol 111 (4) ◽  
pp. 299-306 ◽  
Author(s):  
Y-C. Chou ◽  
V. Chandru ◽  
M. M. Barash

Drawing on screw theory and engineering mechanics, a mathematical theory for automatic configuration of machining fixtures for prismatic parts is developed. There are two parts in the theory: analysis and synthesis. The following functions of fixtures are analyzed: deterministic workpiece location, clamping stability, and total restraint. The synthesis of fixtures includes the determination of locating and clamping points on workpiece surface and the determination of clamping forces. The theory deals with the general case of 3-dimensional parts, polygon support (as opposed to three-point support), and multiple machining operations.


1997 ◽  
Vol 2 (3) ◽  
pp. 179-191 ◽  
Author(s):  
R. KRONLAND-MARTINET ◽  
Ph. GUILLEMAIN ◽  
S. YSTAD

Sound modelling is an important part of the analysis–synthesis process since it combines sound processing and algorithmic synthesis within the same formalism. Its aim is to make sound simulators by synthesis methods based on signal models or physical models, the parameters of which are directly extracted from the analysis of natural sounds. In this article the successive steps for making such systems are described. These are numerical synthesis and sound generation methods, analysis of natural sounds, particularly time–frequency and time–scale (wavelet) representations, extraction of pertinent parameters, and the determination of the correspondence between these parameters and those corresponding to the synthesis models. Additive synthesis, nonlinear synthesis, and waveguide synthesis are discussed.


2019 ◽  
pp. 61-66
Author(s):  
B. Yu. Zuev ◽  
◽  
V. P. Zubov ◽  
A. D. Smychnik ◽  
◽  
...  

Robotica ◽  
2015 ◽  
Vol 34 (11) ◽  
pp. 2467-2485 ◽  
Author(s):  
Wen-ao Cao ◽  
Huafeng Ding ◽  
Ziming Chen ◽  
Shipei Zhao

SUMMARYThis paper presents a systematic method for dealing with mobility analysis and structural synthesis of a class of important spatial mechanisms with coupling chains, which involve more complex coupling relations than spatial parallel mechanisms. First, an approach to the establishment of the motion screw equation of the class of mechanisms is derived. Then, a general methodology for mobility analysis along with detection of rigid substructures is proposed based on the motion screw equation. Third, the principle of structural synthesis of the class of mechanisms is established on the basis of the method of mobility analysis. Finally, some novel spatial mechanisms with coupling chains are synthesized, illustrating the effectiveness of the method. The study of the paper will benefit structural analysis and synthesis of more complex spatial mechanisms with coupling chains.


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