Relevant bibliographies by topics / Coupler curves

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Academic literature on the topic 'Coupler curves'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Coupler curves"

1

Unruh, V., and P. Krishnaswami. "A Computer-Aided Design Technique for Semi-Automated Infinite Point Coupler Curve Synthesis of Four-Bar Linkages." Journal of Mechanical Design 117, no. 1 (1995): 143–49. http://dx.doi.org/10.1115/1.2826099.

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At the present time, there are no satisfactory computer-aided solution schemes for solving the infinite point coupler curve synthesis problem (i.e., the problem of synthesizing a four-bar linkage whose coupler curve best approximates a fully specified closed trajectory). In order to develop a programmable solution process for this class of problems, it is necessary to devise a way of storing a catalog of coupler curves in a computer database. In addition, comparison procedures must be developed for detecting geometric similarities between curves; these procedures must be capable of observing similarities in the shapes of curves which may be scaled or oriented differently. In this paper, a data representation scheme based on uniform periodic B-splines is proposed as a viable means of storing coupler curves in a database. Automated procedures for fitting B-splines to coupler cures or other closed curves are also developed. The paper also presents a set of algorithms for comparing the shapes of curves based on the control polygons of their B-spline approximations. These algorithms are implemented in a computer program that is an effective tool for semi-automated computer-aided solution of the infinite point coupler curve synthesis problem. Example problems solved using this program are discussed, along with some suggestions for further work on this topic.
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2

Lu, Deng-Maw, and Wen-Miin Hwang. "Synthesis of Spherical Four-Bar Mechanisms for Two or Three Prescribed Coupler-Curve Cusps." Journal of Mechanical Design 123, no. 2 (2000): 247–53. http://dx.doi.org/10.1115/1.1360185.

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This paper presents a new approach for the synthesis of spherical four-bar mechanisms with two or three prescribed coupler curve cusps. According to the configuration of a spherical four-bar mechanism whose coupler point coincides with the instant center at two separated positions, two kinds of degenerated curves for the corresponding spherical Burmester curves are obtained. For each degenerated curve, a synthesis procedure is proposed for the dimensional synthesis of spherical four-bar mechanisms to trace a coupler curve with two prescribed cusps. The possible types of spherical four-bar mechanisms with two-cusp coupler curves are discussed. Furthermore, special spherical double-rockers are also presented for tracing a symmetric coupler curve with two cusps, tracing a doubly symmetric coupler curve with two cusps or tracing a symmetric coupler curve with three cusps.
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3

Chung, W.-Y. "Position analysis of Assur kinematic chains using coupler curves." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 8 (2006): 1249–59. http://dx.doi.org/10.1243/09544062jmes249.

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The configurations of several Assur kinematic chains (AKCs) are analysed with the aid of coupler curves. An analysed linkage is dismantled into two constituent linkages. The intersection points of two coupler curves generated by the constituent linkages are the solutions of the dismantling point. All possible configurations of the linkage can then be obtained with the dismantling point being found by solving two coupler curve equations. The coupler curve equations of Watt-I and Stephenson-I six-bar are derived with orders and circularities being emphasized. All three AKCs with seven-link and several AKCs with nine-link and even with 11-link are analysed. The maximum number of solutions can also be determined easily on the basis of the orders and circularities of the coupler curves. The chains with prismatic joints included are also considered.
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4

Lu, D. M. "A Triangular Nomogram for Spherical Symmetric Coupler Curves and its Application to Mechanism Design." Journal of Mechanical Design 121, no. 2 (1999): 323–26. http://dx.doi.org/10.1115/1.2829463.

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This paper presents a triangular nomogram for spherical symmetric coupler curves generated by a spherical crank-rocker with special dimensions. The paper also illustrates the application of this nomogram for spherical mechanism design. The expression of symmetric coupler curves traced by the spherical crank-rocker is derived. A computer program is developed to calculate the coordinates of the coupler curve points for the prescribed dimensions of the mechanism. According to the classified properties of coupler curves obtained, a triangular nomogram for spherical symmetric coupler curves can then be constructed by using three design parameters, i.e., length of crank, length of fixed link, and coupler angle. The triangular nomogram provides an alternative selection for dimensional synthesis of spherical path generators. The synthesized mechanisms can also be used to provide initial estimates for optimal synthesis of spherical path generators. A design example is presented.
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5

Blechschmidt, J. L., and J. J. Uicker. "Linkage Synthesis Using Algebraic Curves." Journal of Mechanisms, Transmissions, and Automation in Design 108, no. 4 (1986): 543–48. http://dx.doi.org/10.1115/1.3258767.

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A method to snythesize four-bar linkages using the algebraic curve of the motion of the coupler point on the coupler link of the four-bar linkage is developed. This method is a departure from modern synthesis methods, most of which are based upon Burmester theory. This curve, which is a planar algebraic polynomial in two variables for the four-bar linkage, is a trinodal tricircular sextic (sixth order). These properties are used to determine the coefficients of the curve given a set of points that the coupler point of the coupler link is to pass through. The coefficients of this curve are nonlinear functions of the linkage parameters. The resulting set of nonlinear equations are solved using iterative/optimization techniques for the linkage parameters.
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6

Shirazi, Kourosh H. "Symmetrical Coupler Curve and Singular Point Classification in Planar and Spherical Swinging-Block Linkages." Journal of Mechanical Design 128, no. 2 (2005): 436–43. http://dx.doi.org/10.1115/1.2167651.

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The purpose of the present paper is coupler curve synthesis and classification in planar and spherical swinging block linkages for path generation problem. It is shown that the swinging block mechanism, which is an inversion of the slider crank mechanism, can be classified into two types. The first type generates Lemniscate coupler curves consisting one or two loops. In this case, two double points, namely cusp and crunode, occur depending on the mechanism's dimension. The second type generates Cardioid and Limaçon type coupler-curves consisting of one, two, three, and four loops. In this case, three kinds of double points, namely cusp, crunode, and tacnode, occur. For the spherical swinging-block linkages, a parametric coupler curve equation is derived. Using a trigonometric similitude between the planar and spherical linkages, a symmetrical coupler curve and singular point classification is accomplished.
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7

Shieh, W. B., L. W. Tsai, S. Azarm, and A. L. Tits. "A New Class of Six-Bar Mechanisms With Symmetrical Coupler Curves." Journal of Mechanical Design 120, no. 1 (1998): 150–53. http://dx.doi.org/10.1115/1.2826668.

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A new class of six-bar mechanisms with symmetrical coupler-point curves is presented. This class of mechanisms is made up of a four-bar linkage with an additional dyad to form an embedded skew pantograph. Because the coupler curve generated at an output point is amplified from that of a four-bar, a compact mechanism with a relatively large coupler curve can be obtained. In addition, due to their structure arrangement, the analysis and synthesis of such mechanisms can be easily achieved. Finally, an example mechanism from this class is illustrated and compared with a four-bar linkage with the same coupler curve.
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8

Gibson, C. G., and D. Marsh. "On the Geometry of Geared 5-Bar Motion." Journal of Mechanical Design 112, no. 4 (1990): 620–27. http://dx.doi.org/10.1115/1.2912654.

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A new approach is adopted to study the geometry of the coupler curves associated to geared 5-bar motion. The key idea is to think of a configuration of the mechanism as a point in a higher - dimensional configuration space; the family of all configurations is then represented by an algebraic curve in that space. Coupler curves appear naturally as projections of this curve, so their properties can be deduced by projection, independent of any explicit knowledge of their equations.
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9

Corves, Burkhard, Guido Lonij, and Mathias Hüsing. "Kinematic Synthesis of a Step Mechanism Based on a Five Bar Linkage." Applied Mechanics and Materials 162 (March 2012): 1–10. http://dx.doi.org/10.4028/www.scientific.net/amm.162.1.

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On the basis of a five bar linkage it is possible to generate actinomorphic coupler curves if certain conditions, related to the kinematic dimensions and the gear ratio between the two cranks, are fulfilled. These symmetric coupler curves can then be used to realize a step mechanism by adding two additional links, taking advantage of the typical curvature characteristics of the generated coupler curve The following article starts with a short literature survey about five bar linkages in general and their use as dwell or step mechanisms in particular. Then it will be shown how the curvature properties of the coupler curves generated by five bar linkages can be determined by graphical means. It will be shown how this procedure can be advantageously applied with the help of an interactive geometry program, using the geometric determination of the curvature properties, such that an optimal step mechanism can be derived.
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10

Dhingra, A. K., A. N. Almadi, and D. Kohli. "A Closed-Form Approach to Coupler-Curves of Multi-Loop Mechanisms." Journal of Mechanical Design 122, no. 4 (1999): 464–71. http://dx.doi.org/10.1115/1.1290394.

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This paper presents a closed-form approach, based on the theory of resultants, for deriving the coupler curve equation of 16 8-link mechanisms. The solution approach entails successive elimination of problem unknowns to reduce a multivariate system of 8 equations in 9 unknowns into a single bivariate equation. This bivariate equation is the coupler curve equation of the mechanism under consideration. Three theorems, which summarize key coupler curve characteristics, are outlined. The computational procedure is illustrated through two numerical examples. The first example addresses in detail some of the problems associated with the conversion of transcendental loop equations into an algebraic form using tangent half-angle substitutions. An extension of the proposed approach to the determination of degrees of input-output (I/O) polynomials and coupler curves for a general n-link mechanism is also presented. [S1050-0472(00)01104-1]
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