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B-spline method for energy minimization in grid-based molecular mechanics calculations
Journal of Computational Chemistry, 1998A method is described for molecular mechanics calculations based on a cubic B-spline approximation of the potential energy. This method is useful when parts of the system are allowed to remain fixed in position so that a potential energy grid can be precalculated and used to approximate the interaction energy between parts of a molecule or between ...
Daniel Oberlin, Harold A. Scheraga
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Research on mechanical arms trajectory-planning using different order B-splines
2017 29th Chinese Control And Decision Conference (CCDC), 2017In order to ensure the smoothness of joint motion and the accurateness of the target position estimate, B-spline has been widely used in joint trajectory planning for mechanical arms. In this paper, the base functions of the third order, fifth order, and seventh order of uniform B-splines are given. Comparison between piecewise polynomial and B-splines
Zhu Meng +4 more
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Fairing of ship lines with mechanical splines
1991The mathematical model for ship design and its local characterisation is presented together with two special cases: the spline through frictionslessly rotating slides, the spline loaded with point forces only.
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Synthesis of Path Generation Compliant Mechanisms Using Variable Width Spline Curves
Volume 4A: Dynamics, Vibration, and Control, 2014Path generation is to guide a point tracing a prescribed path. Compliant mechanisms (CMs) have been synthesized for path generation mechanisms. In this paper, each connection in a synthesized CM is represented as a variable width spline curve and the entire synthesized CM is modeled as a set of variable width spline curves.
Hong Zhou, Nisar Ahmed
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Space discretization by B-Splines on discontinuous problems in structural mechanics
Proceedings of the 7th Balkan Conference on Informatics Conference, 2015Elastic structures with material or geometrical discontinuities often appear among engineering applications. The appropriate usage of space discretization functions is essential for deriving mathematical models with sufficient accuracy. In the current work, a beam with stoppers is considered as an example of elastic structure with discontinuities.
Stanislav Stoykov +2 more
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Spline-Galerkin Method for Solving Some Quantum Mechanic Integral Equations
1985The Schrodinger equation is the fundamental equation that describes the nonrelativistic motion of particles in quantum mechanics. The Schrodinger equation, together with appropriate boundary conditions, can be written as an integral equation of the second kind.
David Eyre, M. Brannigan
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Integration of geometric design and mechanical analysis using B‐spline functions on surface
International Journal for Numerical Methods in Engineering, 2005AbstractB‐spline finite element method which integrates geometric design and mechanical analysis of shell structures is presented. To link geometric design and analysis modules completely, the non‐periodic cubic B‐spline functions are used for the description of geometry and for the displacement interpolation function in the formulation of an ...
Roh, Hee Yuel, Cho, Maenghyo
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Optimal synthesis of a spring-actuated cam mechanism using a cubic spline
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2002This paper presents the optimal synthesis for a cam with non-constant angular velocity based on the dynamic model of a complete spring-actuated cam system. In order to satisfy asymmetric constraints and guarantee continuous contact at the cam-follower interface, the follower motion, which is dependent on the requirements during the closing period of a
Kim, JH, Ahn, KY, Kim, SH Kim, Soohyun
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NUMERICAL SOLUTIONS OF QUANTUM MECHANICAL PROBLEMS USING THE BASIS-SPLINE COLLOCATION METHOD
International Journal of Modern Physics C, 2001The time-dependent and time-independent Schrödinger equations have been numerically solved for several quantum mechanical problems with known analytical solutions using the basis-spline collocation algorithm. This algorithm has been demonstrated to be efficient and versatile.
D. O. ODERO +2 more
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Prediction of mechanical property of steel strips using multivariate adaptive regression splines
Journal of Applied Statistics, 2008In recent times, the problem of prediction of properties of a steel strip has attracted enormous attention from different communities such as statistics, data mining, soft computing, and engineering. This is due to the prospective benefits of reduction in testing and inventory cost, increase in yield, and improvement in delivery compliance.
A. Mukhopadhyay, A. Iqbal
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