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Mechanically based design: adaptive refinement for B-spline finite element
Proceedings International Conference on Shape Modeling and Applications, 2002This paper presents a method for adaptive refinement within an integrated mechanically based CAE system. The system uses a mechanical B-spline finite element model for both geometric design and mechanical analysis. A technique for locally refining a solution by B-spline finite elements is presented.
P. Kagan, A. Fischer, P. Bar-Yoseph
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Simple spline-function equations for fracture mechanics calculations
International Journal of Fracture, 1979The paper presents simple spline-function equations for fracture mechanics calculations. A spline function is a sequence of piecewise polynomials of degree n greater than 1 whose coefficients are such that the function and its first n-1 derivatives are continuous. Second-degree spline equations are presented for the compact, three point bend, and crack-
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Spline-Based Finite Element Analysis in Composite Laminates Mechanical Properties
Applied Mechanics and Materials, 2011The geometric parameters of the composite laminate in the engineering structure tend to have random properties. It is of great significance on how to study sensitivity of random parameters of laminated plates and carry on the optimized analysis to the parameteranalys when accurately estimating the reliability of structural design.
Feng Xiang You, Fei Zhang, Buo Lei Zuo
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Selection of B-Spline Degree on Optimal Design of Mechanism
Advanced Materials Research, 2013The degree is an important parameter for B-spline. In this paper, as one example of optimal design in mechanism, the optimal design of the cam curve to control the residual vibration of the follower output for an indexing cam mechanism is taken and the effect of the degree of the B-spline to describe the cam curve on the optimization performance is ...
Chang Jun Lin +3 more
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New B-Spline Finite Element approach for geometrical design and mechanical analysis
International Journal for Numerical Methods in Engineering, 1998The main idea of this paper is to integrate a mechanically based geometrical design concept with the mechanical analysis module in a uniform \(B\)-spline finite element (BSFE) environment. We formulate the BSFE method and verify its validity and adequacy for linear elastic rod and plate models. In particular, we demonstrate the feasibility of applying \
Kagan, Pavel +2 more
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The implementation of closed B-spline curves for application to mechanisms
Computers in Industry, 1995Abstract An implementation of closed B-spline curves within a constraint modelling system is discussed. Examples concerned with cam laws and cam profiles are given.
J.R. McGarva, G. Mullineux
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Modeling respiratory mechanics in the MCAT and spline-based MCAT phantoms
IEEE Transactions on Nuclear Science, 2001Respiratory motion can cause artifacts in myocardial SPECT and computed tomography (CT). The authors incorporate models of respiratory mechanics into the current 4D MCAT and into the next generation spline-based MCAT phantoms. In order to simulate respiratory motion in the current MCAT phantom, the geometric solids for the diaphragm, heart, ribs, and ...
W.P. Segars, D.S. Lalush, B.M.W. Tsui
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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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