Does the British Isles Paleocene dike swarm reflect the former location of the Iceland hotspot?

ABSTRACT The original location and tectonic setting of the prominent Paleocene dike swarm in the British Isles are reconstructed for a “tight fit” of the North Atlantic region prior to any Cenozoic opening of the ocean basin between Greenland and Europe. The present-day northwest-southeast–oriented swarm originally trended toward southern Greenland and the locations of magmatic rocks of comparable age along the eastern and western margins of Greenland and approximately the position of the Iceland hotspot at 70–60 Ma in a “fixed hotspot” model. This raises the possibility that the northeast-southwest–oriented extensional stress field in which the dikes and associated central igneous complexes were emplaced may have been generated by impingement on the base of the lithosphere by a rising plume beneath present-day West Greenland. It is speculated, on the basis of seismic tomography and three-dimensional modeling, that the Paleocene igneous activity in the British Isles may have resulted from flow of a hot “finger” of upper mantle outward from the plume, perhaps controlled by preexisting lithospheric structures and the distant location of a second Paleocene volcanic province in central Europe.

КАРКАСНА МОДЕЛЬ РОЗТЯГУВАННЯ КУЛІРНОГО ТРИКОТАЖУ ВЗДОВЖ ПЕТЕЛЬНИХ РЯДІВ

Purpose. The purpose of this study is to develop a mathematical description of the transformation of the frame model of weft-knits under the action of tensile forces in the courswise direction for further three-dimensional modeling of the knited structure.Methodology. Methods of theoretical analysis and synthesis, basics of knitting theory, methods of geometric modeling and parameterization were used in the research process.Findings. Considering the knitwear stretching during the use of the clothing is one of the determining factors of the quality of design decisions. When stretching the weft-knitted fabrics in the coursewise direction, the configuration of its individual stitches’ changes, as well as the thread’s cross-section due to the force interaction between the adjacent structure elements. To simulate the physical and mechanical behavior of knitwear under the stretching, it is suggested using a complex model of knitwear deformation, that includes the suggested frame model of uniaxial coursewise stretching of knitted fabrics. An algorithm for constructing a frame model of stretching a sample of knitted fabric in the coursewise direction is described in the paper. The algorithm is based on the structure parameters, including the wale spacing and course spacing in a dry relaxed state, the relative elongation of the sample at the time of modeling, number of wales and courses in the sample, the coefficient of courses narrowing. Scientific novelty. The paper investigates the features of the transformation of the knitting structure during stretching in the coursewise direction and offers algorithmic and mathematical support for the automated generation of the mesh frame in the context of three-dimensional modeling, which provides for the possibility of considering the dynamics of deformation of knitted fabric undergoing tensile deformations.Practical value. Frame model of the weft-knits deformation and algorithm of mesh-frame construction suggested in the paper, form the basis for determination of coordinates of characteristic points of the structural elements of the knit in a state of uniaxial tension for construction of a three-dimensional model of thread a deformed knitted fabric.

APPLICATION OF THREE-DIMENSIONAL MODELING TO OPTIMIZE THE DIMENTIONS OF THE SPEED CONTROL DEVICE WITH ROTARY STOPPER IN THE FORM OF A CLOSED-LOOP HYDRAULIC SYSTEM

The aim of this work is to create a three-dimensional model of a new speed change control device using an engineering CAD system Solidworks. In particular, the article describes the methods of computer construction of a three-dimensional model of a rotary stopper in the form of a closed-loop hydraulic system of the device for smooth control of speed changes through a gear differential. The control link can be either a ring gear, or a carrier, or a sun gear. Ways of creating new parts of the device, use of elements from standard libraries and coordination of their dimensions in assembly have been considered. The ability to parameterize the dimensions allows you to automate the creation of both a single part and the whole device of a particular design, based on the specified source data. The application of special meshes for modeling movable and fixed joints allows you to correctly place the parts, control the correctness of their assembly, and then conduct kinematic and power studies of the device, animate its elements in motion. It has been concluded that the use of computer three-dimensional modeling in the design of such stoppers allows: at the initial stage of design to get a visual idea of the stopper of rotational motion; use a computer to view the created model from any point; easy to edit three-dimensional models, i.e. make the necessary changes; achieve great savings in time and design costs; get a large number of possible design solutions that need to be analyzed in detail and in depth to choose the rational, i.e. the best fit. The created model of the stopper of rotational movement allows to choose the optimal place of its installation in a gear differential of the device of speed change from the point of view of use of the minimum sizes and volume. Based on this, computer simulation must precede design. Keywords: three-dimensional modeling; rotary stopper; closed-loop hydraulic system; gear differential

Approximation of Generalized Ovals and Lemniscates towards Geometric Modeling

This paper considers an approach towards the building of new classes of symmetric closed curves with two or more focal points, which can be obtained by generalizing classical definitions of the ellipse, Cassini, and Cayley ovals. A universal numerical method for creating such curves in mathematical packages is introduced. Specific aspects of the provided numerical data in computer-aided design systems with B-splines for three-dimensional modeling are considered. The applicability of the method is demonstrated, as well as the possibility to provide high smoothness of the curvature profile at the specified accuracy of modeling.

Design of servo drive system for machine vision inspection platform

With the more application of machine vision technology in production practice, most machine vision systems are based on passive vision to measure the target, which has some limitations. Based on the requirements of machine vision platform, a three-dimensional servo movement scheme based on active positioning vision is proposed in this paper. In this paper, the parts of the servo drive system of the platform are selected, calculated and checked, the three-dimensional modeling of the machine vision platform is completed in SolidWorks, and the motion simulation of the servo control system is carried out.

THREE-DIMENSIONAL MODELING TECHNOLOGIES IN INDUSTRIAL DESIGN

Currently, specialists who use the skills of drawing, drawing, modeling and modeling in their work have largely begun to use the capabilities of computer technology and software. Working with digital models and three-dimensional modeling technologies are also within the competence of an industrial designer. This article att empts to make a selection of computer programs that are used in their work by industrial designers and classify the capabilities of this software according to its functional purpose. It is obvious that all the technologies of three-dimensional modeling listed in the article are very important for specialists engaged in technical aesthetics, artistic design, visualization, prototyping and prototyping of things.

КАРКАСНА МОДЕЛЬ ОДНООСНОГО РОЗТЯГУВАННЯ КУЛІРНОГО ТРИКОТАЖУ ВЗДОВЖ ПЕТЕЛЬНИХ СТОВПЧИКІВ

The purpose of this study is to develop a frame model for stretching the weft-knits in the wale direction, suitable for further integration into the algorithm for building a three-dimensional knitwear model in a stretched state and modeling of interactive deformation dynamics. Methodology. Methods of theoretical analysis, basics of knitting theory, topological model of knitwear, methods of geometric modeling and parameterization were used in the research process. Findings. Modeling the physical and mechanical behavior of knitwear in a computer environment is one of the promising ways to increase the level of conformity of knitted products with the requirements of comfort and functionality. However, the complexity of the internal structure, the anisotropy of properties and the instability of the parameters of the loop structure determine the need to find non-trivial ways to solve the problem of mathematical description of the three-dimensional model of the thread, knitted in the knitwear, considering the stretching deformations. During the study, a frame model of a uniaxial stretching of knitwear in the wale direction was developed. The basis of the frame model is the idea of a knitted structure, represented as a logically organized set of elements, each of which is interlaces with other elements in accordance with the topology of knit. The frame of the jersey fragment is described as a set of bars and hinges. The hinges are located at the interlacing points of the loop heads and loop feet, and each rod in the model is an imaginary element representing a complex of force factors that prevent the change of distance between the hinges connected to the given rod. In the process of stretching, the geometrical characteristics of the elements change, while the logical connections remain unchanged. The wireframe model allows to define coordinates of interlacement points in the coordinate system of the sample, relative position of coordinate systems of each elementary fragment, which correspond to given loops, coordinates of characteristic points of a loop for transition to a three-dimensional model of a knitted structure. Scientific novelty. For the first time, a frame model of deformation of the knit, suitable for three-dimensional modeling of its structure, considering deformation of the thrust, was developed. Practical value. The developed model can be used as mathematical support of systems of automated designing of knits.