An important role in the roads design is played by plane curves, if the road lies on a plane surface and by space curves, if the road can not be embeded in a plane. This article presents some work ...done in the two and three dimensional roads design, by using the differential geometry methods. A study of a general case for plane roads is given.
A Gross-Pitaevskii (GP) equation with a parabola external potential is considered, and is transformed into a standard nonlinear Schrödinger (NLS) equation. By using the homogeneous balance principle ...and F-expansion method, we study non-autonomous wave solutions of the GP equation with a parabola external potential. In particular, based on the similarity transformation, several families of non-autonomous wave solutions of the GP equation are presented with snaking behaviors and different amplitude surfaces. These obtained bright-dark soliton solutions can give some potential applications in Bose-Einstein condensates.
•A Gross-Pitaevskii (GP) equation with a parabola external potential is considered.•We study the non-autonomous wave solutions of GP equation with a parabola external potential.•These obtained bright-dark soliton solutions can give some potential applications in Bose-Einstein condensates.
•Consider an unsteady two dimensional flow of non-Newtonian Casson fluid.•The flow of fluid is assumed over the slender paraboloid surface.•The heat transfer process is calculated by presuming the ...effect of enthalpy.•The fluid properties are assumed to be variable.
The goal of current study is to scrutinize the boundary layer flow of non-Newtonian Casson fluid flows on the slender parabola of revolution. Due to occurrence of temperature fluctuation in the flow analysis, the thermo-physical properties are presumed as variable. There is need to critically understand its behaviors in crude oil extraction, biomedical industries, textiles, papers, chemicals, machinery and many more processes. The assumed heat and mass transference is calculated by enthalpy change. The modeled equations of unsteady Casson fluid with variable fluid properties occur in the form of PDEs and Levy-Lees similarity transformations are used to convert them in ODEs form. The numerical solutions are calculated with a well-known method namely shooting technique. The variation in velocity field is noted due to the Casson fluid parameter, variable viscosity, suction coefficient and curvature parameter. The impression on temperature is noted by the variation in Damkholer number, thermal conductivity, curvature parameter, heat generation coefficient and Prandtl number. The concentration of fluid is noted due to the curvature parameter, Schmidt number, mass diffusion, Damkholer number and activation energy. At the end, the concluding remarks of the main findings are listed in conclusion section.
In this letter, the equation of a particle's motion on a rotating parabolic surface is introduced through Lagrange equations and is solved by Multi-step Differential Transformation Method (Ms-DTM). ...As a main outcome, it is shown that this method gives approximations of a high degree of accuracy and least computational effort for studying particle motion on rotating parabolic surfaces compared to previous analytical methods. Also, position trajectory of the particle, r(t), and its phase planes are depicted in the current study for different constant numbers.
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•Particle's motion on a rotating parabola surface has been introduced.•Lagrangian method is applied for governing equations.•Multi-step Differential Transformation Method is used for solving the problem.•Results have an excellent agreement with numerical fourth order Runge–Kutta method.•Particle position and phase plane were depicted.
In this study, a high-resolution surface shape measurement system incorporating a grating projection method and a virtual-target registration method is constructed as inspection tools for precise ...large space structures, and the applicability of the constructed measurement system is discussed for a parabola antenna reflector with a diameter of 1.5 m. Partial surfaces of the parabola antenna reflector are initially measured by photogrammetry by using a grating projection method. The full-field surface of the parabola antenna reflector is subsequently reconstructed by merging the measured partial shape data using a virtual-target registration method. The virtual-target registration method applies feature-point matching of the virtual targets to calculate a coordinate transformation matrix that serves as an interface between two sets of the dense 3D point cloud data, and thus it can precisely connect the partial shape data even if any physical corresponding points or any signature shapes are not included in the overlap region of the connected data. The result shows that the partial surfaces of the parabola antenna reflector are successfully captured by the photogrammetry by using the grating projection method with an accuracy of 0.17 mm RMS and spatial resolution of 0.35 mm and are precisely merged by the virtual-target registration method with the same order of measurement accuracy. The validity of the reconstructed surface shape of the parabola antenna reflector is then confirmed by comparing the measurement results of the commercial photogrammetric measurement system using coded targets. The result clearly indicates that the constructed measurement system allows visualization of the intricate local surface as well as the global surface of the parabola antenna reflector with a high spatial resolution, and this cannot be achieved with a traditional photogrammetric measurement system by using the attached targets. The study offers an effective high-resolution non-contact surface shape measurement system for large space structures.
•A high-resolution surface shaped measurement system is constructed.•A parabolic antenna reflector with a diameter of 1.5 m is measured.•An accuracy of 0.17 mm RMS and a spatial resolution of 0.35 mm have been achieved.•An effective measurement system for large space structures is offered by the study.
This research is a development research that aims to produce media product projectile launcher as a simple practical tool of physics on parabolic motion material and to know the feasibility of media ...projectile launcher as a simple practical tool of physics on parabolic motion material. Problems in this research, among others, is how to develop projectile launcher as a simple practical tool of physics on parabolic motion material and how is the response of learners to media projectile launcher as a simple physics practicum tool on parabolic motion material. . Subjects in this study are class IX SMA N 1 Way Tenong and SMA N 2 Way Tenong. This research is a development research using Research and Development (R & D) research method that adopt the development of Borg & Gall that has been modified by sugionoProducts are categorized very feasible based on the validation of material experts with 100% percentage and based on the validation of media experts with a percentage of 100% , as well as Projectile Launcher media are very interesting to be used as teaching materials based on teacher's assessment to get 100% score percentage and student's response in limited group trial to get 95% percentage score for SMA N 1 Way Tenong and 92% for SMA N 2 Way Tenong.Abstrak:Penelitian ini merupakan penelitian pengembangan yang bertujuan untuk menghasilkan produk media projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola dan untuk mengetahui kelayakan dari media projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola. Masalah dalam penelitian ini antara lain bagaimanakah mengembangkan projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola dan bagaimanakah respon peserta didik terhadap media projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola. . Subjek dalam penelitian ini adalah kelas IX SMA N 1 Way Tenong dan SMA N 2 Way Tenong. Penelitian ini merupakan penelitian pengembangan menggunakan metode penelitian Research and Development (R&D) yang mengadopsi pengembangan dari Borg & Gall yang telah dimodifikasi oleh sugionoProduk yang dihasilkan berkategori sangat layak berdasarkan validasi dari ahli materi dengan presentase 100% dan berdasarkan validasi dari ahli media dengan presentase 100%, serta mediaProjectile Launchersangatmenarikuntukdijadikanbahanajarberdasarkanpenilaiangurumemperolehpresentaseskor100% dan respon peserta didik pada uji coba kelompok terbatas memperoleh skor presentase 95% untuk SMA N 1 Way Tenong dan 92% untuk SMA N 2 Way Tenong
Identification of lateral boundaries for the subsurface structures is a popular topic in many applications of geoscience. For this purpose, many edge detection and enhancement methods have been ...introduced to determine the lineaments of subsurface structures. In this study, the improved parabola-based method has been applied to reveal the lineaments of subsurface structures of Nam Dinh province. The obtained results have shown that there are NW–SE trending structures in this region and most of the lineaments are in the depth range of 2 km to 8 km. These results provide a new perspective to help us better understand the structural framework and tectonic settings of the study area.
The democratic legitimation imperative of the modern state has been conceptualised as the barrier that stops the environmental state from developing into a green or eco-state - and thus as the glass ...ceiling to a socio-ecological transformation of capitalist consumer democracies. Here, I suggest that this state-theoretical explanation of the glass ceiling needs to be supplemented by an analysis of why democratic norms and procedures, which had once been regarded as essential for any socio-ecological transformation, suddenly appear as one of its main obstacles. I conceptualise the new eco-political dysfunctionality of democracy as one dimension of a more encompassing legitimation crisis of democracy which, in turn, has triggered a profound transformation of democracy. Ultimately, exactly this transformation constitutes the glass ceiling to the socio-ecological restructuring of capitalist consumer societies. It changes democracy into a tool for the politics of unsustainability, in which the legitimation-dependent state is a key actor.
In mathematics, a conic is the curve that is obtained by intersecting a plane with a cone. Is well known that the shape of this curve may differ quite a bit depending on the position of the ...intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "conical". In the first part, we determine the relation between the shape of the section curve and the angle of the plane of the section plane. The paper also proposes a reassembly of the cone from the fragments resulting from the sectioning with different planes. These recommences can be found as technical solutions for joining two pipes with different diameters and whose axes are not coaxial.
In mathematics, a conic is the curve that is obtained by intersecting a plane with a cone. Is well known that the shape of this curve may differ quite a bit depending on the position of the ...intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "conical". In the first part, we determine the relation between the shape of the section curve and the angle of the plane of the section plane. The paper also proposes a reassembly of the cone from the fragments resulting from the sectioning with different planes. These recommences can be found as technical solutions for joining two pipes with different diameters and whose axes are not coaxial.
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