125 resultados para trapezoidal


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This paper is devoted to the improvement in the range of operation (linearity range) of chimney weir (consisting of a rectangular weir or vertical slot over an inward trapezium), A new and more elegant optimization procedure is developed to analyse the discharge-head relationship in the weir. It is shown that a rectangular weir placed over an inverted V-notch of depth 0.90d gives the maximum operating range, where d is the overall depth of the inward trapezoidal weir (from the crest to the vertex). For all flows in the rectangular portion, the discharge is proportional to the linear power of the head, h, measured above a reference plane located at 0.292d below the weir crest, in the range 0.90d less than or equal to h less than or equal to 7.474: within a maximum error of +/-1.5% from the theoretical discharge. The optimum range of operation of the newly designed weir is 200% greater than that in the chimney weir designed by Keshava Murthy and Giridhar, and is nearly 950% greater than that in the inverted V-notch. Experiments with two weirs having half crest widths of 0.10 and 0.12 m yield a constant average coefficient of discharge of 0.634 and confirm the theory. The application of the weir in the design of rectangular grit chamber outlet is emphasized, in that the datum for the linear discharge-head relationship is below the crest level of the weir.

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Instabilities arising in unsteady boundary layers with reverse flow have been investigated experimentally. Experiments are conducted in a piston driven unsteady water tunnel with a shallow angle diffuser placed in the test section. The ratio of temporal (Pi(t)) to spatial (Pi(x)) component of the pressure gradient can be varied by a controlled motion of the piston. In all the experiments, the piston velocity variation with time is trapezoidal consisting of three phases: constant acceleration from rest, constant velocity and constant deceleration to rest. The adverse pressure gradient (and reverse flow) are due to a combination of spatial deceleration of the free stream in the diffuser and temporal deceleration of the free stream caused by the piston deceleration. The instability is usually initiated with the formation of one or more vortices. The onset of reverse flow in the boundary layer, location and time of formation of the first vortex and the subsequent flow evolution are studied for various values of the ratio Pi(x) (Pi(x) + Pi(t)) for the bottom and the top walls. Instability is due to the inflectional velocity profiles of the unsteady boundary layer. The instability is localized and spreads to the other regions at later times. At higher Reynolds numbers growth rate of instability is higher and localized transition to turbulence is observed. Scalings have been proposed for initial vortex formation time and wavelength of the instability vortices. Initial vortex formation time scales with convective time, delta/Delta U, where S is the boundary layer thickness and Delta U is the difference of maximum and minimum velocities in the boundary layer. Non-dimensional vortex formation time based on convective time scale for the bottom and the top walls are found to be 23 and 30 respectively. Wavelength of instability vortices scales with the time averaged boundary layer thickness. (C) 2015 Elsevier Masson SAS. All rights reserved.

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A novel slope delay model for CMOS switch-level timing verification is presented. It differs from conventional methods in being semianalytic in character. The model assumes that all input waveforms are trapezoidal in overall shape, but that they vary in their slope. This simplification is quite reasonable and does not seriously affect precision, but it facilitates rapid solution. The model divides the stages in a switch-level circuit into two types. One corresponds to the logic gates, and the other corresponds to logic gates with pass transistors connected to their outputs. Semianalytic modeling for both cases is discussed.

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对北京市大钟寺悬挂永乐大钟的梯形木架结构的稳定性进行了初步分析,根据弹性结构稳定性理论的能量法和中国古建筑结构"卯榫"接头抗弯性能的简化的本构模型,采用"对比法"分析了二维梯形木架的结构稳定性;结果表明中国古建筑木架结构的"收分"形状设计对增大木架稳定性有很大作用,立柱"侧角"越大,稳定性越好,收分形式设计凸现中国古代工程技术人员的聪明智慧.

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[ES]El objetivo principal del presente Trabajo Fin de Grado es diseñar un interpolador de trayectorias y programarlo en Labview. Para ello, se ha de analizar primeramente la cinemática del mecanismo a utilizar, un robot de cinemática paralela 5R, y calcular su espacio de trabajo. Después, se deducirán y programarán diversos perfiles de velocidades (trapezoidal de velocidades, trapezoidal de aceleraciones y sinusoidal) para moverse en rectas, así como el movimiento en curvas mediante splines. También se hallarán experimentalmente las características de los motores disponibles y se averiguarán las velocidades máximas que puede alcanzar el mecanismo. Así podremos presentar un software que sirva para generar trayectorias para el robot 5R. Se presentan también, entre otros, el presupuesto del proyecto y los riesgos en los que se puede incurrir. El documento finaliza con unos anexos de planos CAD, resultados y código de programación.

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Sobre una estructura urbana clara de bastida y en el límite de la zona construida con las murallas, se plantea a un lado de la calle este-oeste, que conduce al Hotel de Ville, la construcción de un edificio museo que guarda las alineaciones actuales de unas construcciones-almacenes de poco interés urbano. Al otro lado de la calle queda el ámbito irregular que se prolonga hasta la Place de L’Abreuvoir y tiene como límite las murallas. Simétricamente al Museo se plantea un pabellón-mercado que configura la nueva entrada a la calle este-oeste y a la vez guarda relación con un pequeño pabellón que cierra visualmente la Plaza de L’Abreuvoir del paseo perimetral de las murallas. El edificio Museo de forma trapezoidal se estructura en tres crujías, que organiza en su parte central los espacios más representativos y de comunicación y en los laterales los usos más funcionales. Por último se ha trabajado con la forma, manipulándola para lograr una respuesta clara y congruente con los usos planteados y el carácter arquitectónico del lugar.

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Controle de processos é uma das muitas aplicações que aproveitam as vantagens do uso da teoria de conjuntos nebulosos. Nesse tipo de aplicação, o controlador é, geralmente, embutido no dispositivo controlado. Esta dissertação propõe uma arquitetura reconfigurável eficiente para controladores nebulosos embutidos. A arquitetura é parametrizável, de tal forma, que permite a configuração do controlador para que este possa ser usado na implementação de qualquer aplicação ou modelo nebuloso. Os parâmetros de configuração são: o número de variáveis de entrada (N); o número de variáveis de saída (M); o número de termos linguísticos (Q); e o número total de regras (P). A arquitetura proposta proporciona também a configuração das características que definem as regras e as funções de pertinência de cada variável de entrada e saída, permitindo a escalabilidade do projeto. A composição das premissas e consequentes das regras são configuráveis, de acordo com o controlador nebuloso objetivado. A arquitetura suporta funções de pertinência triangulares, mas pode ser estendida para aceitar outras formas, do tipo trapezoidal, sem grandes modificações. As características das funções de pertinência de cada termo linguístico, podem ser ajustadas de acordo com a definição do controlador nebuloso, permitindo o uso de triângulos. Virtualmente, não há limites máximos do número de regras ou de termos linguísticos empregados no modelo, bem como no número de variáveis de entrada e de saída. A macro-arquitetura do controlador proposto é composta por N blocos de fuzzificação, 1 bloco de inferência, M blocos de defuzzificação e N blocos referentes às características das funções de pertinência. Este último opera apenas durante a configuração do controlador. A função dos blocos de fuzzificação das variáveis de entrada é executada em paralelo, assim como, os cálculos realizados pelos blocos de defuzzificação das variáveis de saída. A paralelização das unidades de fuzzificação e defuzzificação permite acelerar o processo de obtenção da resposta final do controlador. Foram realizadas várias simulações para verificar o correto funcionamento do controlador, especificado em VHDL. Em um segundo momento, para avaliar o desempenho da arquitetura, o controlador foi sintetizado em FPGA e testado em seis aplicações para verificar sua reconfigurabilidade e escalabilidade. Os resultados obtidos foram comparados com os do MATLAB em cada aplicação implementada, para comprovar precisão do controlador.

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Indentation of linearly viscoelastic materials is explored using elastic-viscoelastic correspondence analysis for both conical-pyramidal and spherical indentation. Boltzmann hereditary integrals are used to generate displacement-time solutions for loading at constant rate and creep following ramp loading. Experimental data for triangle- and trapezoidal-loading are examined for commercially-available polymers and compared with analytical solutions. Emphasis is given to the use of multiple experiments to test the fidelity and predictive capability of the obtained material creep function. Plastic deformation occurs in sharp indentation of glassy polymers and is found to complicate the viscoelastic analysis. A new method is proposed for estimating a material time-constant from peak displacement or hardness data obtained in pyramidal indentation tests performed at different loading rates.

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A 3-dB paired interference (PI) optical coupler in silicon-on-insulator (SOI) based on rib waveguides with trapezoidal cross section was designed with simulation by a modified finite-difference beam propagation method (FD-BPM) and fabricated by potassium hydroxide (KOH) anisotropic chemical wet etching. Theoretically, tolerances of width, length, and port distance are more than 1, 100, and 1 mu m, respectively. Smooth interface was obtained with the propagation loss of 1.1 dB/cm at the wavelength of 1.55 mu m. The coupler has a good uniformity of 0.2 dB and low excess loss of less than 2 dB.

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SOI (silicon-on-insulator) is a new material with a lot of important performances such as large index difference, low transmission loss. Fabrication processes for SOI based optoelectronic devices are compatible with conventional IC processes. Having the potential of OEIC monolithic integration, SOI based optoelectronic devices have shown many good characteristics and become more and more attractive recently. In this paper, the recent progresses of SOI waveguide devices in our research group are presented. By highly effective numerical simulation, the single mode conditions for SOI rib waveguides with rectangular and trapezoidal cross-section were accurately investigated. Using both chemical anisotropic wet etching and plasma dry etching techniques, SOI single mode rib waveguide, MMI coupler, VOA (variable optical attenuator), 2X2 thermal-optical switch were successfully designed and fabricated. Based on these, 4X4 and 8X8 SOI optical waveguide integrated switch matrixes are demonstrated for the first time.

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Based on thermo-optical effect of silicon, a 2 x 2 switch is fabricated in silicon-on-insulator by chemical etching. The switch presents an extinction ratio of 26 dB and a power consumption of 169 mW. The response time F similar to 10.5 mus.

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N-p-n Si/SiGe/Si heterostructure has been grown by a disilane (Si2H6) gas and Ge solid sources molecular beam epitaxy system using phosphine (PH3) and diborane (B2H6) as n- and p-type in situ doping sources, respectively. X-ray diffraction (XRD) and secondary ion mass spectroscopy (SIMS) measurements show that the grown heterostructure has a good quality, the boron doping is confined to the SiGe base layer, and the Ge has a trapezoidal profile. Postgrowth P implantation was performed to prepare a good ohmic contact to the emitter. Heterojunction bipolar transistor (HBT) has been fabricated using the grown heterostructure and a common-emitter current gain of 75 and a cut-off frequency of 20 GHz at 300 K have been obtained. (C) 2001 Elsevier Science B.V. All rights reserved.

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Silicon crystal-facet-dependent nanostructures have been successfully fabricated on a (100)-oriented silicon-on-insulator wafer using electron-beam lithography and the silicon anisotropic wet etching technique. This technique takes ad-vantage of the large difference in etching properties for different crystallographic planes in alkaline solution. The mini-mum size of the trapezoidal top for those Si nanostructures can be reduced to less than 10nm. Scanning electron microscopy(SEM) and atomic force microscopy (AFM) observations indicate that the etched nanostructures have controllable shapes and smooth surfaces.

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Handwriting production is viewed as a constrained modulation of an underlying oscillatory process. Coupled oscillations in horizontal and vertical directions produce letter forms, and when superimposed on a rightward constant velocity horizontal sweep result in spatially separated letters. Modulation of the vertical oscillation is responsible for control of letter height, either through altering the frequency or altering the acceleration amplitude. Modulation of the horizontal oscillation is responsible for control of corner shape through altering phase or amplitude. The vertical velocity zero crossing in the velocity space diagram is important from the standpoint of control. Changing the horizontal velocity value at this zero crossing controls corner shape, and such changes can be effected through modifying the horizontal oscillation amplitude and phase. Changing the slope at this zero crossing controls writing slant; this slope depends on the horizontal and vertical velocity zero amplitudes and on the relative phase difference. Letter height modulation is also best applied at the vertical velocity zero crossing to preserve an even baseline. The corner shape and slant constraints completely determine the amplitude and phase relations between the two oscillations. Under these constraints interletter separation is not an independent parameter. This theory applies generally to a number of acceleration oscillation patterns such as sinusoidal, rectangular and trapezoidal oscillations. The oscillation theory also provides an explanation for how handwriting might degenerate with speed. An implementation of the theory in the context of the spring muscle model is developed. Here sinusoidal oscillations arise from a purely mechanical sources; orthogonal antagonistic spring pairs generate particular cycloids depending on the initial conditions. Modulating between cycloids can be achieved by changing the spring zero settings at the appropriate times. Frequency can be modulated either by shifting between coactivation and alternating activation of the antagonistic springs or by presuming variable spring constant springs. An acceleration and position measuring apparatus was developed for measurements of human handwriting. Measurements of human writing are consistent with the oscillation theory. It is shown that the minimum energy movement for the spring muscle is bang-coast-bang. For certain parameter values a singular arc solution can be shown to be minimizing. Experimental measurements however indicate that handwriting is not a minimum energy movement.

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A modification to the standard Thomson parabola spectrometer is discussed, which is designed to measure high energy (tens of MeV/nucleon), broad bandwidth spectra of multi-species ions accelerated by intense laser plasma interactions. It is proposed to implement a pair of extended, trapezoidal shaped electric plates, which will not only resolve ion traces at high energies, but will also retain the lower energy part of the spectrum. While a longer (along the axis of the undeflected ion beam direction) electric plate design provides effective charge state separation at the high energy end of the spectrum, the proposed new trapezoidal shape will enable the low energy ions to reach the detector, which would have been clipped or blocked by simply extending the rectangular plates to enhance the electrostatic deflection.