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Journal articles on the topic 'Spline theory. Computer-aided design. Engineering design'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Ju¨ttler, B., and M. G. Wagner. "Computer-Aided Design With Spatial Rational B-Spline Motions." Journal of Mechanical Design 118, no. 2 (1996): 193–201. http://dx.doi.org/10.1115/1.2826869.

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Using rational motions it is possible to apply many fundamental B-spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provides algorithms for the calculation of the surface which is swept out by a moving polyhedron and examines interpolation techniques. The methods presented in this paper can be applied to various problems in computer animation as well as in robotics.

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2

Ravani, B., and J. W. Wang. "Computer Aided Geometric Design of Line Constructs." Journal of Mechanical Design 113, no. 4 (1991): 363–71. http://dx.doi.org/10.1115/1.2912791.

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This paper develops a mathematical foundation for Computer Aided Design (CAD) of sculptured shapes based on line geometry. First, a new representation is presented for a line based on Plu¨cker coordinates that would allow specification of a line segment (rather than an infinite line) in an elegant manner and suitable for computational purposes. Then, methods are presented for geometric design of shape patches (here referred to as line constructs) by interpolating or approximating a set of control lines (rather than control points) using ruled surfaces, line congruences, and line complexes. The

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3

Ge, Q. Jeffrey, and P. M. Larochelle. "Algebraic Motion Approximation With NURBS Motions and Its Application to Spherical Mechanism Synthesis." Journal of Mechanical Design 121, no. 4 (1999): 529–32. http://dx.doi.org/10.1115/1.2829493.

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In this work we bring together classical mechanism theory with recent works in the area of Computer Aided Geometric Design (CAGD) of rational motions as well as curve approximation techniques in CAGD to study the problem of mechanism motion approximation from a computational geometric viewpoint. We present a framework for approximating algebraic motions of spherical mechanisms with rational B-Spline spherical motions. Algebraic spherical motions and rational B-spline spherical motions are represented as algebraic curves and rational B-Spline curves in the space of quaternions (or the image spa

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4

WALTON, D. J. "Spiral Spline Curves for Highway Design." Computer-Aided Civil and Infrastructure Engineering 4, no. 2 (2008): 99–106. http://dx.doi.org/10.1111/j.1467-8667.1989.tb00012.x.

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5

Bodduluri, R. M. C., and B. Ravani. "Geometric Design and Fabrication of Developable Bezier and B-spline Surfaces." Journal of Mechanical Design 116, no. 4 (1994): 1042–48. http://dx.doi.org/10.1115/1.2919485.

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In this paper we study Computer Aided Geometric Design (CAGD) and Manufacturing (CAM) of developable surfaces. We develop a direct representation of developable surfaces in terms of plane geometry. It uses control planes to determine a surface which is a Bezier or a B-spline interpolation of the control planes. In the Bezier case, a de Casteljau type construction method is presented for geometric design of developable Bezier surfaces. In the B-spline case, de Boor type construction for the geometric design of the developable surface and Boehm type knot insertion algorithm are presented. In the

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6

Ding, Chensen. "Isogeometric independent coefficients method for fast reanalysis of structural modifications." Engineering Computations 37, no. 4 (2019): 1341–68. http://dx.doi.org/10.1108/ec-03-2019-0121.

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Purpose This paper aims to provide designers/engineers, in engineering structural design and analysis, approaches to freely and accurately modify structures (geometric and/or material), and then quickly provide real-time capability to obtain the numerical solutions of the modified structures (designs). Design/methodology/approach The authors propose an isogeometric independent coefficients (IGA-IC) method for a fast reanalysis of structures with geometric and material modifications. Firstly, the authors seamlessly integrate computer-aided design (CAD) and computer-aided engineering (CAE) by ca

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Abdelmoety, Ahmed K., Taha H. A. Naga, and Youssef F. Rashed. "Isogeometric boundary integral formulation for Reissner’s plate problems." Engineering Computations 37, no. 1 (2019): 21–53. http://dx.doi.org/10.1108/ec-11-2018-0507.

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Purpose This paper aims to develop a new isogeometric boundary element formulation based on non-uniform rational basis splines (NURBS) curves for solving Reissner’s shear-deformable plates. Design/methodology/approach The generalized displacements and tractions along the problem boundary are approximated as NURBS curves having the same rational B-spline basis functions used to describe the geometrical boundary of the problem. The source points positions are determined over the problem boundary by the well-known Greville abscissae definition. The singular integrals are accurately evaluated usin

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Moroni, Giovanni, and Marco Rasella. "Application of Regression Spline to Reverse Modeling." Journal of Computing and Information Science in Engineering 7, no. 1 (2006): 95–101. http://dx.doi.org/10.1115/1.2424245.

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When dealing with inspection or reverse modeling, the problem of free-form curves and surfaces reconstruction has to be faced starting from a set of measured points. Because in point sampling the acquisition error is unavoidable, curves and surfaces fitting should be based on a rigorous diagnostic phase. We consider statistical regression analysis in which, treating error as a variable of the problem, we distinguish between the systematic behavior of measured points and noise in the reconstruction of curves and surfaces. The model we introduce for a regression based free-form reconstruction is

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9

Hsieh, Chiu-Fan, and Yii-Wen Hwang. "Study on the High-Sealing of Roots Rotor With Variable Trochoid Ratio." Journal of Mechanical Design 129, no. 12 (2006): 1278–84. http://dx.doi.org/10.1115/1.2779897.

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Vacuum pump plays an important role in the vacuum system. In this paper, a new method is proposed to design the Roots rotor that was the trochoidal curve with variable trochoid ratio. The fifth-order polynomial and cubic spline functions are used to generate smoothly trochoid ratio functions and thus a regular addendum curve for Roots rotor will be generated. Based on the addendum curve, the tooth profile for the complete Roots rotor is derived by the gearing theory. In order to improve the sealing between the rotor tip and the chamber, a design procedure is also developed for roots rotor with

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10

Cotrina-Navau, J., N. Pla-Garcia, and M. Vigo-Anglada. "A Generic Approach to Free Form Surface Generation." Journal of Computing and Information Science in Engineering 2, no. 4 (2002): 294–301. http://dx.doi.org/10.1115/1.1559579.

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A theoretical approach to construct free form surfaces is presented. We develop the concepts that arise when a free form surface is generated by tracing a mesh, using differentiable manifold theory, and generalizing the B-spline scheme. This approach allows us to define a family of practical schemes. Four different applications of the generic approach are also presented in this paper.

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11

McClarty, D. V. B., D. G. Fredlund, and S. L. Barbour. "Use of Spline Interpolation in Slope Stability Analysis." Computer-Aided Civil and Infrastructure Engineering 8, no. 6 (2008): 439–52. http://dx.doi.org/10.1111/j.1467-8667.1993.tb00228.x.

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12

Munteanu, Calin, Vasile Topa, Emil Simion, and Gilbert De Mey. "Multi‐terminal resistances optimal design using spline boundary elements and genetic algorithms." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 20, no. 1 (2001): 279–93. http://dx.doi.org/10.1108/03321640110359994.

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13

Faezian, Ghassem, Ahmad Darabi, and Nader Sargolzaei. "Customized shape optimization of switched reluctance motor using B-Splines." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 40, no. 3 (2021): 402–13. http://dx.doi.org/10.1108/compel-07-2020-0250.

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Purpose This study aims to design the rotor geometry of switched reluctance motor (SRM) in a completely flexible way. In the proposed method, there is no default geometry for the rotor. The initial geometry of the rotor can start from a circle or any other shape and depending on the required performance takes the final shape during the optimal design. In this way, the best performance, possible with geometric design, can be achieved. Design/methodology/approach The rotor boundary of a 4/2 SRM is defined by a few B-splines. Some control points are located around the rotor and changing their loc

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14

Kondo, K., and J. Takada. "Study on Tooth Profiles of the Harmonic Drive." Journal of Mechanical Design 112, no. 1 (1990): 131–37. http://dx.doi.org/10.1115/1.2912570.

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The present paper deals with an analysis of the kinematics and geometry of the tooth engagement of the harmonic drive, and presents a new method for determining tooth profiles of the harmonic drive. First, two assumptions are set up: (1) Though there is relative motion among the respective teeth of the flexspline during flexing, the individual teeth themselves can be considered to be rigid. (2) The pitch between the respective teeth of the flexspline is constant on the neutral line. Experiments confirm the existence of a neutral line along the flexspline rim which maintain the same length as t

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Rauen, Mateus, Roberto Dalledone Machado, and Marcos Arndt. "An enriched formulation of isogeometric analysis applied to the dynamical response of bars and trusses." Engineering Computations 37, no. 7 (2020): 2439–66. http://dx.doi.org/10.1108/ec-04-2019-0189.

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Purpose This study aims to present a new hybrid formulation based on non-uniform rational b-splines functions and enrichment strategies applied to free and forced vibration of straight bars and trusses. Design/methodology/approach Based on the idea of enrichment from generalized finite element method (GFEM)/extended finite element method (XFEM), an extended isogeometric formulation (partition of unity isogeometric analysis [PUIGA]) is conceived. By numerical examples the methods are tested and compared with isogeometric analysis, finite element method and GFEM in terms of convergence, error sp

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Clarke, Stella M., Jan H. Griebsch, and Timothy W. Simpson. "Analysis of Support Vector Regression for Approximation of Complex Engineering Analyses." Journal of Mechanical Design 127, no. 6 (2004): 1077–87. http://dx.doi.org/10.1115/1.1897403.

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A variety of metamodeling techniques have been developed in the past decade to reduce the computational expense of computer-based analysis and simulation codes. Metamodeling is the process of building a “model of a model” to provide a fast surrogate for a computationally expensive computer code. Common metamodeling techniques include response surface methodology, kriging, radial basis functions, and multivariate adaptive regression splines. In this paper, we investigate support vector regression (SVR) as an alternative technique for approximating complex engineering analyses. The computational

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17

Xie, Tan Cheng, Jian Guo Zhang, Hong Min Xin, Yan Wei Xu, and Xiang Nan. "Research on CNC and Lathe Processing of Middle-Convex and Varying Piston." Advanced Materials Research 317-319 (August 2011): 1832–36. http://dx.doi.org/10.4028/www.scientific.net/amr.317-319.1832.

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This document analyses the surface of piston in two aspects, discrete points of axial section profile are fitted by cubic spline tool of MATLAB, interpolate curve after fitting with method of precision linear approximation. Equipartition of cross section profile are done,and through subdivision of points of equipartition,to approach theory contour. the number of divide points must satisfy the request was made, with the principle of the relative movement，in the processing of cross section in an ellipse，detailed analysis the motion of line motor，pointed out how changes the speed and acceleration

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Koubaiti, Ouadie, Said EL Fakkoussi, Jaouad El-Mekkaoui, Hassan Moustachir, Ahmed Elkhalfi, and Catalin I. Pruncu. "The treatment of constraints due to standard boundary conditions in the context of the mixed Web-spline finite element method." Engineering Computations 38, no. 7 (2021): 2937–68. http://dx.doi.org/10.1108/ec-02-2020-0078.

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Purpose This paper aims to propose a new boundary condition and a web-spline basis of finite element space approximation to remedy the problems of constraints due to homogeneous and non-homogeneous; Dirichlet boundary conditions. This paper considered the two-dimensional linear elasticity equation of Navier–Lamé with the condition CAB. The latter allows to have a total insertion of the essential boundary condition in the linear system obtained; without using a numerical method as Lagrange multiplier. This study have developed mixed finite element; method using the B-splines Web-spline space. T

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Alshomrani, Ali Saleh, Sapna Pandit, Abdullah K. Alzahrani, Metib Said Alghamdi, and Ram Jiwari. "A numerical algorithm based on modified cubic trigonometric B-spline functions for computational modelling of hyperbolic-type wave equations." Engineering Computations 34, no. 4 (2017): 1257–76. http://dx.doi.org/10.1108/ec-05-2016-0179.

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Purpose The main purpose of this work is the development of a numerical algorithm based on modified cubic trigonometric B-spline functions for computational modelling of hyperbolic-type wave equations. These types of equations describe a variety of physical models in the vibrations of structures, nonlinear optics, quantum field theory and solid-state physics, etc. Design/methodology/approach Dirichlet boundary conditions cannot be handled easily by cubic trigonometric B-spline functions. Then, a modification is made in cubic trigonometric B-spline functions to handle the Dirichlet boundary con

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Dhiman, Neeraj, M. J. Huntul, and Mohammad Tamsir. "A modified trigonometric cubic B-spline collocation technique for solving the time-fractional diffusion equation." Engineering Computations 38, no. 7 (2021): 2921–36. http://dx.doi.org/10.1108/ec-06-2020-0327.

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Purpose The purpose of this paper is to present a stable and efficient numerical technique based on modified trigonometric cubic B-spline functions for solving the time-fractional diffusion equation (TFDE). The TFDE has numerous applications to model many real objects and processes. Design/methodology/approach The time-fractional derivative is used in the Caputo sense. A modification is made in trigonometric cubic B-spline (TCB) functions for handling the Dirichlet boundary conditions. The modified TCB functions have been used to discretize the space derivatives. The stability of the technique

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Mittal, R. C., and Amit Tripathi. "Numerical solutions of two-dimensional Burgers’ equations using modified Bi-cubic B-spline finite elements." Engineering Computations 32, no. 5 (2015): 1275–306. http://dx.doi.org/10.1108/ec-04-2014-0067.

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Purpose – The purpose of this paper is to develop an efficient numerical scheme for non-linear two-dimensional (2D) parabolic partial differential equations using modified bi-cubic B-spline functions. As a test case, method has been applied successfully to 2D Burgers equations. Design/methodology/approach – The scheme is based on collocation of modified bi-cubic B-Spline functions. The authors used these functions for space variable and for its derivatives. Collocation form of the partial differential equation results into system of first-order ordinary differential equations (ODEs). The obtai

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Assari, Pouria. "The thin plate spline collocation method for solving integro-differential equations arisen from the charged particle motion in oscillating magnetic fields." Engineering Computations 35, no. 4 (2018): 1706–26. http://dx.doi.org/10.1108/ec-08-2017-0330.

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Purpose The purpose of this study is to obtain a scheme for the numerical solution of Volterra integro-differential equations with time periodic coefficients deduced from the charged particle motion for certain configurations of oscillating magnetic fields. Design/methodology/approach The method reduces the solution of these types of integro-differential equations to the solution of two-dimensional Volterra integral equations of the second kind. The new method uses the discrete collocation method together with thin plate splines constructed on a set of scattered points as a basis. Findings The

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Upadhaya, Brijesh, Floran Martin, Paavo Rasilo, Paul Handgruber, Anouar Belahcen, and Antero Arkkio. "Modelling anisotropy in non-oriented electrical steel sheet using vector Jiles–Atherton model." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 36, no. 3 (2017): 764–73. http://dx.doi.org/10.1108/compel-09-2016-0399.

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Purpose Non-oriented electrical steel presents anisotropic behaviour. Modelling such anisotropic behaviour has become a necessity for accurate design of electrical machines. The main aim of this study is to model the magnetic anisotropy in the non-oriented electrical steel sheet of grade M400-50A using a phenomenological hysteresis model. Design/methodology/approach The well-known phenomenological vector Jiles–Atherton hysteresis model is modified to correctly model the typical anisotropic behaviour of the non-oriented electrical steel sheet, which is not described correctly by the original ve

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Mohanty, Ranjan Kumar, and Sachin Sharma. "A high-resolution method based on off-step non-polynomial spline approximations for the solution of Burgers-Fisher and coupled nonlinear Burgers’ equations." Engineering Computations 37, no. 8 (2020): 2785–818. http://dx.doi.org/10.1108/ec-08-2019-0359.

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Purpose This paper aims to develop a new high accuracy numerical method based on off-step non-polynomial spline in tension approximations for the solution of Burgers-Fisher and coupled nonlinear Burgers’ equations on a graded mesh. The spline method reported here is third order accurate in space and second order accurate in time. The proposed spline method involves only two off-step points and a central point on a graded mesh. The method is two-level implicit in nature and directly derived from the continuity condition of the first order space derivative of the non-polynomial tension spline fu

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Hülsmann, Timo, Andreas Bartel, Sebastian Schöps, and Herbert De Gersem. "Extended Brauer model for ferromagnetic materials: analysis and computation." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, no. 4 (2014): 1251–63. http://dx.doi.org/10.1108/compel-11-2012-0359.

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Purpose – The purpose of this paper is to develop a fast and accurate analytic model function for the single-valued H-B curve of ferromagnetic materials, where hysteresis can be disregarded (normal magnetization curve). Nonlinear magnetoquasistatic simulations demand smooth monotone material models to ensure physical correctness and good convergence in Newton's method. Design/methodology/approach – The Brauer model has these beneficial properties, but is not sufficiently accurate for low and high fields in the normal magnetization curve. The paper extends the Brauer model to better fit materia

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Vadlamani, Shashank, and Arun C.O. "A background cell-based numerical integration for B-spline wavelet on the interval finite element method." Engineering Computations 36, no. 2 (2019): 569–98. http://dx.doi.org/10.1108/ec-07-2018-0315.

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Purpose The purpose of this paper is to discuss about evaluating the integrals involving B-spline wavelet on the interval (BSWI), in wavelet finite element formulations, using Gauss Quadrature. Design/methodology/approach In the proposed scheme, background cells are placed over each BSWI element and Gauss quadrature rule is defined for each of these cells. The nodal discretization used for BSWI WFEM element is independent to the selection of number of background cells used for the integration process. During the analysis, background cells of various lengths are used for evaluating the integral

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Shahmohammadi, Mohammad Amin, Mojtaba Azhari, Mohammad Mehdi Saadatpour, and Saeid Sarrami-Foroushani. "Stability of laminated composite and sandwich FGM shells using a novel isogeometric finite strip method." Engineering Computations 37, no. 4 (2019): 1369–95. http://dx.doi.org/10.1108/ec-06-2019-0246.

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Purpose This paper aims to analyze the stability of laminated shells subjected to axial loads or external pressure with considering various geometries and boundary conditions. The main aim of the present study is developing an efficient combined method which uses the advantages of different methods, such as finite element method (FEM) and isogeometric analysis (IGA), to achieve multipurpose targets. Two types of material including laminated composite and sandwich functionally graded material are considered. Design/methodology/approach A novel type of finite strip method called isogeometric B3-

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Dokken, Tor, Vibeke Skytt, and Oliver Barrowclough. "Trivariate spline representations for computer aided design and additive manufacturing." Computers & Mathematics with Applications 78, no. 7 (2019): 2168–82. http://dx.doi.org/10.1016/j.camwa.2018.08.017.

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Chen, Yi-Cheng, Yun-Hao Cheng, Jui-Tang Tseng, and Kun-Ju Hsieh. "Study of a harmonic drive with involute profile flexspline by two-dimensional finite element analysis." Engineering Computations 34, no. 7 (2017): 2107–30. http://dx.doi.org/10.1108/ec-03-2017-0086.

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Purpose This paper aims to present simulation results of a harmonic drive (HD) with involute flexspline (FS) profiles based on two-dimensional (2-D) finite element analysis (FEA). Design/methodology/approach First, the mathematical model of the FS with involute tooth profile was developed using a straight-edge rack cutter based on the theory of gearing. Then the engaging circular spline (CS) with conjugate tooth profile of FS was derived based on the enveloping theory and theory of gearing. Additionally, a mesh generation program was developed to discretize the FS based on the mathematical mod

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Mittal, Ramesh Chand, and Sumita Dahiya. "A comparative study of modified cubic B-spline differential quadrature methods for a class of nonlinear viscous wave equations." Engineering Computations 35, no. 1 (2018): 315–33. http://dx.doi.org/10.1108/ec-06-2016-0188.

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Purpose In this study, a second-order standard wave equation extended to a two-dimensional viscous wave equation with timely differentiated advection-diffusion terms has been solved by differential quadrature methods (DQM) using a modification of cubic B-spline functions. Two numerical schemes are proposed and compared to achieve numerical approximations for the solutions of nonlinear viscous wave equations. Design/methodology/approach Two schemes are adopted to reduce the given system into two systems of nonlinear first-order partial differential equations (PDE). For each scheme, modified cub

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Meng, Zhijuan, Yanan Fang, and Lidong Ma. "A Method for Rapid Prediction of Edge Defects in Cold Roll Forming Process." Mathematics 9, no. 16 (2021): 1902. http://dx.doi.org/10.3390/math9161902.

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In order to implement rapid prediction of edge defects in the cold roll forming process, a new analytical method based on the mean longitudinal strain of the racks is presented. A cubic spline curve with the parameters of the cumulative chord length is applied to fit the corresponding points and center points of different passes, and fitting curves are obtained. As the cold roll forming is micro-tension forming, the tensions between racks are ignored. Then the mean longitudinal strains between racks are obtained. By comparing the mean longitudinal strain between racks and the yield strain of t

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Cabadaj, J. "Theory of computer aided fixture design." Computers in Industry 15, no. 1-2 (1990): 141–47. http://dx.doi.org/10.1016/0166-3615(90)90091-3.

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Zhou, Xiaomin, and Zheng Sun. "Quantitative assessment of landslide risk using Monte Carlo material point method." Engineering Computations 37, no. 5 (2019): 1577–96. http://dx.doi.org/10.1108/ec-04-2019-0186.

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Purpose The purpose of this paper is to provide an effective way to assess landslide risk quantitatively. Quantitative assessment plays an important role in mitigating the landslide risk and developing a landslide risk-based warning system. However, efficient risk assessment on the large deformation failure process of slope with spatially variable soils is a challenging problem. Design/methodology/approach Combining the Monte Carlo simulation (MCS) and the higher-order material point method – the B-spline Material Point Method (BSMPM) – the concept of MC-BSMPM to assess the landslide risk quan

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Upadhaya, Brijesh, Paavo Rasilo, Lauri Perkkiö, Paul Handgruber, Anouar Belahcen, and Antero Arkkio. "A constraint-based optimization technique for estimating physical parameters of Jiles – Atherton hysteresis model." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 39, no. 6 (2020): 1281–98. http://dx.doi.org/10.1108/compel-08-2019-0332.

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Purpose Improperly fitted parameters for the Jiles–Atherton (JA) hysteresis model can lead to non-physical hysteresis loops when ferromagnetic materials are simulated. This can be remedied by including a proper physical constraint in the parameter-fitting optimization algorithm. This paper aims to implement the constraint in the meta-heuristic simulated annealing (SA) optimization and Nelder–Mead simplex (NMS) algorithms to find JA model parameters that yield a physical hysteresis loop. The quasi-static B(H)-characteristics of a non-oriented (NO) silicon steel sheet are simulated, using existi

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Hua, Jing, Ying He, and Hong Qin. "Trivariate Simplex Splines for Inhomogeneous Solid Modeling in Engineering Design." Journal of Computing and Information Science in Engineering 5, no. 2 (2005): 149–57. http://dx.doi.org/10.1115/1.1881352.

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This paper presents a new inhomogeneous solid modeling paradigm for engineering design. The proposed paradigm can represent, model, and render multidimensional physical attributes across any volumetric objects of complicated geometry and topology. A modeled object is formulated with a trivariate simplex spline defined over a tetrahedral decomposition of its three-dimensional domain. Heterogeneous material attributes associated with solid geometry can be easily modeled and edited by manipulating the control vectors and∕or associated knots of trivariate simplex splines. We also develop a feature

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Purwar, Anurag, and Qiaode Jeffrey Ge. "On the Effect of Dual Weights in Computer Aided Design of Rational Motions." Journal of Mechanical Design 127, no. 5 (2005): 967–72. http://dx.doi.org/10.1115/1.1906263.

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In recent years, it has become well known that rational Bézier and B-spline curves in the space of dual quaternions correspond to rational Bézier and B-spline motions. However, the influence of weights of these dual quaternion curves on the resulting rational motions has been largely unexplored. In this paper, we present a thorough mathematical exposition on the influence of dual-number weights associated with dual quaternions for rational motion design. By deriving the explicit equations for the point trajectories of the resulting motion, we show that the effect of real weights on the resulti

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Bair, Biing-Wen. "Computer Aided Design of Elliptical Gears." Journal of Mechanical Design 124, no. 4 (2002): 787–93. http://dx.doi.org/10.1115/1.1485092.

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An elliptical gear drive, whose rotation axis coincides with its geometric center, is simulated using generation with a rack cutter. The mathematical model of an elliptical gear based on the theory of gearing and gear generation mechanism is also developed. Owing to its complex geometry, the profile of elliptical gears may exhibit tooth undercutting, and pointed teeth. In addition, tooth undercutting of an elliptical gear based on the developed mathematical model of the elliptical gear and the theory of gearing is also investigated. Pointed teeth usually appear on the major axis of the gear el

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Tsai, Hung Cheng, Tien Li Chen, Hung Jung Tsai, and Fei Kung Hung. "Computer-Aided Form Generation for Product Design." Advanced Materials Research 97-101 (March 2010): 3785–88. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.3785.

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The product form design activities involve a high degree of uncertainty and complexity and are therefore not easily formulated, coded and regularized. Consequently, very few of the computer-aided design approaches presented in the literature can support the conceptual form design tasks typically performed at the preliminary stages of a product’s development cycle. To enable designers to perform their design activities more objectively and efficiently, this paper combines the principles of fuzzy set theory, the shape-blending method and genetic algorithms to generate a knowledge-based approach

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Maekawa, T., and J. Chalfant. "Design and Tessellation of B-Spline Developable Surfaces." Journal of Mechanical Design 120, no. 3 (1998): 453–61. http://dx.doi.org/10.1115/1.2829173.

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Developable surfaces are widely used in various engineering applications. However, little attention has been paid to implementing developable surfaces from the onset of a design. The first half of the paper describes a user friendly method of designing developable surfaces in terms of a B-Spline representation whose two directrices lie on parallel planes. The second half of the paper investigates a new method for development and tessellation of such B-Spline developable surfaces, which is necessary for plate cutting and finite element analysis.

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Lu, Y., Y. Shi, and B. Hu. "Solving reachable workspace of some parallel manipulators by computer-aided design variation geometry." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 9 (2008): 1773–81. http://dx.doi.org/10.1243/09544062jmes1069.

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To shape the workspace of some novel parallel manipulators (PMs) is significant. A novel computer-aided design (CAD) variation geometry approach is proposed to shape and solve the reachable workspace of some PMs with three to six degrees of freedom (DOFs). Some basic techniques are described for designing the simulation mechanism and solving the reachable workspace. The simulation mechanisms of some PMs with three to six DOFs are created. When varying the driving dimensions of the active legs in the given extent, the simulation mechanisms vary correspondingly, and the position components of th

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Shamdani, Amir Hossein, and Shahin Khoddam. "A computer-aided specimen design to induce shearing strain around a hole." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 12 (2012): 2837–51. http://dx.doi.org/10.1177/0954406212440909.

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The local torsion process which involves an axisymmetric torsional loading around the design position of a hole in a structure has recently found important applications for grain refinement in tubes and fastener holes. The specimen design is a pre-requisite for any experimental investigation of the local torsion process. The purpose of this study is to investigate a number of potential designs which enable the implementation of the local torsion. These designs include a mandrel to twist the specimen and a range of connection configurations between the mandrel and the specimen including threade

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Lee, Jae-bok, Jun Zou, Benliang Li, and Munno Ju. "Efficient evaluation of the earth return mutual impedance of overhead conductors over a horizontally multilayered soil." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, no. 4 (2014): 1379–95. http://dx.doi.org/10.1108/compel-08-2013-0265.

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Purpose – The per-unit-length earth return mutual impedance of the overhead conductors plays an important role for analyzing electromagnetic transients or couplings of multi-conductor systems. It is impossible to have a closed-form expression to evaluate this kind of impedance. The purpose of this paper is to propose an efficient numerical approach to evaluate the earth return mutual impedance of the overhead conductors above horizontally multi-layered soils. Design/methodology/approach – The expression of the earth return mutual impedance, which contains a complex highly oscillatory semi-infi

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Munira, Ali, Nur Najmiyah Jaafar, Abdul Aziz Fazilah, and Z. Nooraizedfiza. "Review on Non Uniform Rational B-Spline (NURBS): Concept and Optimization." Advanced Materials Research 903 (February 2014): 338–43. http://dx.doi.org/10.4028/www.scientific.net/amr.903.338.

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This paper is to provide literature review of the Non Uniform Rational B-Splines (NURBS) formulation in the curve and surface constructions. NURBS curves and surfaces have a wide application in Computer Aided Geometry Design (CAGD), Computer Aided Design (CAD), image processing and etc. The formulation of NURBS showing that NURBS curves and surfaces requires three important parameters in controlling the curve and also modifying the shape of the curves and surfaces. Yet, curves and surfaces fitting are still the major problems in the geometrical modeling. With this, the researches that have bee

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Sarfraz, Muhammad, Munaza Ishaq, and Malik Zawwar Hussain. "Shape Designing of Engineering Images Using Rational Spline Interpolation." Advances in Materials Science and Engineering 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/260587.

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In modern days, engineers encounter a remarkable range of different engineering problems like study of structure, structure properties, and designing of different engineering images, for example, automotive images, aerospace industrial images, architectural designs, shipbuilding, and so forth. This paper purposes an interactive curve scheme for designing engineering images. The purposed scheme furnishes object designing not just in the area of engineering, but it is equally useful for other areas including image processing (IP), Computer Graphics (CG), Computer-Aided Engineering (CAE), Compute

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Bair, B.-W. "Computer aided design of non-standard elliptical gear drives." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 216, no. 4 (2001): 473–82. http://dx.doi.org/10.1243/0954406021525250.

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An oil pump with a larger pumping volume and more compact size than conventional pumps is designed with elliptical gear drives. In this work, an elliptical gear drive with few teeth is used in the design of pumps with a large pumping volume. Also, a mathematical model of a profile-shifted elliptical gear is developed, based on the theory of gearing and the gear generation mechanism. This study also investigates the tooth undercutting of a non-standard elliptical gear, based on the proposed mathematical model of the profile-shifted elliptical gear and the theory of gearing. Pointed teeth genera

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Chen, Bin, Jie Hu, Jin Qi, and Weixing Chen. "A computer-aided approach improving the Axiomatic Design theory with the distributed design resource environment." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 34, no. 1 (2019): 80–103. http://dx.doi.org/10.1017/s0890060419000283.

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AbstractIn the traditional Axiomatic Design (AD) theory, the mapping from the functional domain to the physical domain is based on the designers’ own knowledge and experience, and there is no systematical approach including the design resources provided outside the designers themselves’ access. Thus, the raw materials for the design process are largely limited, which means they can hardly support the designers’ increasingly creative and innovative conceptions. To help AD theory better support the design process, this paper proposes a computer-aided approach for the mapping from the functional

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Feng, Jiawei, Jianzhong Fu, Zhiwei Lin, Ce Shang, and Bin Li. "Direct slicing of T-spline surfaces for additive manufacturing." Rapid Prototyping Journal 24, no. 4 (2018): 709–21. http://dx.doi.org/10.1108/rpj-12-2016-0210.

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Purpose T-spline is the latest powerful modeling tool in the field of computer-aided design. It has all the merits of non-uniform rational B-spline (NURBS) whilst resolving some flaws in it. This work applies T-spline surfaces to additive manufacturing (AM). Most current AM products are based on Stereolithograph models. It is a kind of discrete polyhedron model with huge amounts of data and some inherent defects. T-spline offers a better choice for the design and manufacture of complex models. Design/methodology/approach In this paper, a direct slicing algorithm of T-spline surfaces for AM is

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Pigounakis, Kostis G., Nickolas S. Sapidis, and Panagiotis D. Kaklis. "Fairing Spatial B-Spline Curves." Journal of Ship Research 40, no. 04 (1996): 351–67. http://dx.doi.org/10.5957/jsr.1996.40.4.351.

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Three-dimensional curves are playing an increasing role in ship-hull modeling and many other areas of computer-aided design (CAD). The problem of evaluating and improving the fairness of such a curve is considered and three solutions (algorithms) are proposed representing all major methodologies currently pursued by CAD researchers: local fairing by knot removal, and local/global fairing based on "energy" minimization. The performance of the algorithms is studied for both cubic and quintic B-splines using realistic test cases. Finally, a comparison with existing techniques is presented and som

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Butler, A. C., F. Sadeghi, S. S. Rao, and S. R. LeClair. "Computer-aided design/engineering of bearing systems using the Dempster-Shafer theory." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 9, no. 1 (1995): 1–11. http://dx.doi.org/10.1017/s0890060400002043.

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AbstractResearch in computer-aided design/engineering (CAD/E) has focused on enhancing the capability of computer systems in a design environment, and this work has continued in this trend by illustrating the use of the Dempster-Shafer theory to expand the computer’s role in a CAD/E environment. An expert system was created using Dempster-Shafer methods that effectively modeled the professional judgment of a skilled tribologist in the selection of rolling element bearings. A qualitative and symbolic approach was used, but access to simple quantitative models was provided to the expert system s

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Bernus, P. "Design theory for CAD." Computer-Aided Design 21, no. 9 (1989): 598. http://dx.doi.org/10.1016/0010-4485(89)90025-0.

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