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Relevant bibliographies by topics / Spline finite element

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Academic literature on the topic 'Spline finite element'

Author: Grafiati

Published: 3 June 2025

Last updated: 13 July 2025

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Journal articles on the topic "Spline finite element"

1

Schneider, Teseo, Jérémie Dumas, Xifeng Gao, Mario Botsch, Daniele Panozzo, and Denis Zorin. "Poly-Spline Finite-Element Method." ACM Transactions on Graphics 38, no. 3 (2019): 1–16. http://dx.doi.org/10.1145/3313797.

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Kahn-Jetter, Zella L., Eugene Hundertmark, and Suzanne Wright. "Comparison of Torque Transmitting Shaft Connectivity Using a Trilobe Polygon Connection and an Involute Spline." Journal of Mechanical Design 122, no. 1 (2000): 130–35. http://dx.doi.org/10.1115/1.533556.

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The results of a finite element analysis of a trilobe polygon shaft connection used as an alternative for a spline for torque transmission is presented. These results are compared to the results of a finite element analysis previously performed on an involute spline. It is shown that the tensile stress in the polygon shaft is significantly smaller than in the involute spline and is smaller than all the other stresses in both the shaft and the hub in the polygon connection. Furthermore, the magnitudes and distributions of the maximum principal compressive stress, the shear stress, and the Von Mises stress are nearly the same on the shaft and the hub. It appears that polygonal connections can be more advantageous than splined connections because of lower stresses and the lack of stress concentrations typical of splines. [S1050-0472(00)00601-2]

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Fang, Lishan, and Linda Stals. "Adaptive discrete thin plate spline smoother." ANZIAM Journal 62 (November 5, 2021): C45—C57. http://dx.doi.org/10.21914/anziamj.v62.15979.

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The discrete thin plate spline smoother fits smooth surfaces to large data sets efficiently. It combines the favourable properties of the finite element surface fitting and thin plate splines. The efficiency of its finite element grid is improved by adaptive refinement, which adapts the precision of the solution. It reduces computational costs by refining only in sensitive regions, which are identified using error indicators. While many error indicators have been developed for the finite element method, they may not work for the discrete smoother. In this article we show three error indicators adapted from the finite element method for the discrete smoother. A numerical experiment is provided to evaluate their performance in producing efficient finite element grids. References F. L. Bookstein. Principal warps: Thin-plate splines and the decomposition of deformations. IEEE Trans. Pat. Anal. Mach. Int. 11.6 (1989), pp. 567–585. doi: 10.1109/34.24792. C. Chen and Y. Li. A robust method of thin plate spline and its application to DEM construction. Comput. Geosci. 48 (2012), pp. 9–16. doi: 10.1016/j.cageo.2012.05.018. L. Fang. Error estimation and adaptive refinement of finite element thin plate spline. PhD thesis. The Australian National University. http://hdl.handle.net/1885/237742. L. Fang. Error indicators and adaptive refinement of the discrete thin plate spline smoother. ANZIAM J. 60 (2018), pp. 33–51. doi: 10.21914/anziamj.v60i0.14061. M. F. Hutchinson. A stochastic estimator of the trace of the influence matrix for laplacian smoothing splines. Commun. Stat. Simul. Comput. 19.2 (1990), pp. 433–450. doi: 10.1080/0361091900881286. W. F. Mitchell. A comparison of adaptive refinement techniques for elliptic problems. ACM Trans. Math. Soft. 15.4 (1989), pp. 326–347. doi: 10.1145/76909.76912. R. F. Reiniger and C. K. Ross. A method of interpolation with application to oceanographic data. Deep Sea Res. Oceanographic Abs. 15.2 (1968), pp. 185–193. doi: 10.1016/0011-7471(68)90040-5. S. Roberts, M. Hegland, and I. Altas. Approximation of a thin plate spline smoother using continuous piecewise polynomial functions. SIAM J. Numer. Anal. 41.1 (2003), pp. 208–234. doi: 10.1137/S0036142901383296. D. Ruprecht and H. Muller. Image warping with scattered data interpolation. IEEE Comput. Graphics Appl. 15.2 (1995), pp. 37–43. doi: 10.1109/38.365004. E. G. Sewell. Analysis of a finite element method. Springer, 2012. doi: 10.1007/978-1-4684-6331-6. L. Stals. Efficient solution techniques for a finite element thin plate spline formulation. J. Sci. Comput. 63.2 (2015), pp. 374–409. doi: 10.1007/s10915-014-9898-x. O. C. Zienkiewicz and J. Z. Zhu. A simple error estimator and adaptive procedure for practical engineerng analysis. Int. J. Numer. Meth. Eng. 24.2 (1987), pp. 337–357. doi: 10.1002/nme.1620240206.

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4

Peng, Hui Fen, Guang Wei Meng, Li Ming Zhou, and Zhao Long Yang. "Modal Analysis of Cracked Plate Using Interval B-Spline Wavelet Finite Element Method." Advanced Materials Research 199-200 (February 2011): 1287–91. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.1287.

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Aiming at the defects in describing stress field near the crack tip with traditional finite element method (TFEM), a new finite element method based on interval B-Spline wavelet (IBSW) is put forward, the displacement interpolation functions of plate element are constructed by using the scaling functions of IBSW, finite element model of cracked plate based on IBSW is established, and the stiffness matrixes of plate element is derived. The first four natural frequencies and mode shapes of the cracked plate are obtained by using interval B-Spline wavelet finite element (IBSWFE). Comparison of the calculated results with those by ANSYS shows that IBSWFE method can get higher calculation precision with less elements in dealing with engineering singularity problems.

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Sun, Jianliang, Mengqian Sun, Yunjing Jiao, and Yanan Gao. "Study on Plate Straightening Process Based on Elastic-Plastic B Spline Finite Strip Method." Journal of Mechanics 36, no. 6 (2020): 737–47. http://dx.doi.org/10.1017/jmech.2020.16.

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ABSTRACTAn elastic-plastic B spline finite strip method is proposed to investigate the continuous plate straightening process in this paper. First, the B spline displacement function that satisfies the boundary conditions of simply supported end and free end of the strip element is established, and then the stress-strain matrix is established. Second, the set method of total stiffness matrix based on B spline finite strip method for plate straightening problem is proposed, and the influence of nodal line number and strip elements number on the sparsity of total stiffness matrix is analyzed. Third, the loads on the strip elements are taken as linear uniform distribution, and the transformation matrix between the equivalent linear load and the actual load of the strip element is established. At last, the plate straightening simulation of 11 rolls straightening machine is made based on the elastic-plastic B spline finite strip method, the calculated results agree with the measured results, which approves that the elastic-plastic B spline finite strip method established can be applied to the plate straightening process.

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Fan, S. C., and M. H. Luah. "New Spline Finite Element for Plate Bending." Journal of Engineering Mechanics 118, no. 6 (1992): 1065–82. http://dx.doi.org/10.1061/(asce)0733-9399(1992)118:6(1065).

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7

Ding, Hanshan, Rongguang Shao, and Dajun Ding. "A spline finite element method on mapping." Structural Engineering and Mechanics 4, no. 4 (1996): 415–24. http://dx.doi.org/10.12989/sem.1996.4.4.415.

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Kahn-Jetter and, Zella L., and Suzanne Wright. "Finite Element Analysis of an Involute Spline." Journal of Mechanical Design 122, no. 2 (2000): 239–44. http://dx.doi.org/10.1115/1.533573.

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Two finite element analyses of an involute spline are performed; one is axisymmetrically loaded and the other is nonaxisymmetrically loaded. An entire cross section of both an internal and external pair is analyzed for both models. It is shown that on the axisymmetrically loaded spline the highest stress experienced is the maximum compressive contact stress although the tensile stress in the shaft is also quite high. It is also shown that stress concentrations exist at the root and top of the tooth for both models. Furthermore, on the nonaxisymmetrically loaded spline at low torque, only a few teeth make initial contact, however, as torque is increased, more teeth come in contact. All the stresses remain relatively constant under increasing torque as more teeth are engaged. Once all teeth are in contact stress increases with higher torques. However, the maximum tensile stress (arising from stress concentrations) remains fairly constant, even at high torques, because the stress concentrations that occur at tooth roots appear to be relatively independent of the number of teeth in contact. [S1050-0472(00)00102-1]

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Rajashekar, Naraveni, Sudhakar Chaudhary, and V. V. K. Srinivas Kumar. "Approximation of p-Biharmonic Problem using WEB-Spline based Mesh-Free Method." International Journal of Nonlinear Sciences and Numerical Simulation 20, no. 6 (2019): 703–12. http://dx.doi.org/10.1515/ijnsns-2018-0298.

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Abstract We describe and analyze the weighted extended b-spline (WEB-Spline) mesh-free finite element method for solving the p-biharmonic problem. The WEB-Spline method uses weighted extended b-splines as basis functions on regular grids and does not require any mesh generation which eliminates a difficult, time consuming preprocessing step. Accurate approximations are possible with relatively low-dimensional subspaces. We perform some numerical experiments to demonstrate the efficiency of the WEB-Spline method.

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Lamichhane, Bishnu P., Elizabeth Harris, and Quoc Thong Le Gia. "Approximation of noisy data using multivariate splines and finite element methods." Journal of Algorithms & Computational Technology 15 (January 2021): 174830262110084. http://dx.doi.org/10.1177/17483026211008405.

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We compare a recently proposed multivariate spline based on mixed partial derivatives with two other standard splines for the scattered data smoothing problem. The splines are defined as the minimiser of a penalised least squares functional. The penalties are based on partial differential operators, and are integrated using the finite element method. We compare three methods to two problems: to remove the mixture of Gaussian and impulsive noise from an image, and to recover a continuous function from a set of noisy observations.

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Dissertations / Theses on the topic "Spline finite element"

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Dag, Idris. "Studies of B-spline finite elements." Thesis, Bangor University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358041.

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Waters, Timothy Paul. "Finite element model updating using frequency response functions." Thesis, University of Bristol, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.294617.

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Ramsay, Tim. "A bivariate finite element smoothing spline applied to image registration." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ54429.pdf.

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Wang, Hongrui. "Error and stability analysis for B-spline finite element methods." Thesis, University of Strathclyde, 2015. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=26570.

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The thesis studies the approximation properties of splines with maximum smoothness. We are interested in the behaviour of the approximation as the degree of the spline increases (so does its smoothness). By studying B-spline interpolation, we obtain error estimates measured in the semi-norm that are explicit in terms of mesh size, degree and smoothness. This new result also gives a higher approximation order than existing estimations. With the results, we investigate the B-spline finite element approximation with k-refinement, which is a strategy of improving the accuracy by increasing the degree and smoothness. The problem is studied in the setting of heat equations and wave equations. We give B-spline FEM schemes for the problems, and obtain error estimates. Moreover, by proving a Markov-type inequality for splines, where an exact constant is derived, we deduce how the stability of the scheme behaves with the k-refinements. We also improve the efficiency of the schemes for problems with periodic boundary conditions by applying the fast Fourier transform. The thesis also focuses on developing algorithms for efficiently evaluating the element system matrices in finite element methods with Berstein-Bâezier splines as shape functions, where the splines are of arbitrary order and defined on quadrilaterals and hexahedrons. The algorithms achieve the optimal complexity by making use of the sum factorial procedure. We test the algorithms in C++ implementation, and the numerical results illustrate that the optimal cost and expected accuracy are achieved.

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Zarad, Abdallah. "Developing an advanced spline fatigue prediction method." Thesis, Blekinge Tekniska Högskola, Institutionen för maskinteknik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-18927.

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Fatigue failure is one of the most critical issues in industry nowadays as 60 to 90 percent of failures in metals are due to fatigue. Therefore, different methods and approaches are developed to estimate the fatigue life of metallic parts. In this research, a case-hardened steel splined shaft is studied to estimate the fatigue life that the shaft will withstand before failure. The purpose of the research is to develop an advanced fatigue prediction method for splines.A static experimental test was performed on the splined shaft for analyzing the load-strain behavior of the shaft and determining the suitable load cases of the study. A dynamic test of pure torsional load was carried out to collect experimental results for validating the generated fatigue methods and investigating the failure behavior of the shaft. Stress analysis was performed on the part for investigating critical areas and the effect of the different spline teeth designs on the resulting stress. Two finite element models were analyzed using two software, MSC Marc software with a geometry of straight spline teeth and Spline LDP with an involute spline teeth model. DIN 5466-1 spline standard’s analytical solution was used for verification purposes. Stress and strain-based approaches were used to estimate fatigue life. The most suitable method was evaluated against experimental test results.The research findings show that the most critical stress areas on the shaft are the spline root fillet and relief. When the part fails due to fatigue the crack initiates at the root fillet and propagates to the relief. It is also shown that involute teeth spline gives higher stress than straight teeth for the same load due to less contact area.The conclusion of the research could be summarized in: the stress-based method (Wöhler curve) is giving good accuracy and proved a reliable method. While among six different approaches used of strain-based methods, four-point correlation method is giving the best correlation to test results. Hence, it is recommended to use four-point correlation method for fatigue analysis for its accuracy and for considering both elastic and plastic behavior of the material.

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Musuva, Mutinda. "The multiscale wavelet finite element method for structural dynamics." Thesis, Brunel University, 2015. http://bura.brunel.ac.uk/handle/2438/12468.

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The Wavelet Finite Element Method (WFEM) involves combining the versatile wavelet analysis with the classical Finite Element Method (FEM) by utilizing the wavelet scaling functions as interpolating functions; providing an alternative to the conventional polynomial interpolation functions used in classical FEM. Wavelet analysis as a tool applied in WFEM has grown in popularity over the past decade and a half and the WFEM has demonstrated potential prowess to overcome some difficulties and limitations of FEM. This is particular for problems with regions of the solution domain where the gradient of the field variables are expected to vary fast or suddenly, leading to higher computational costs and/or inaccurate results. The properties of some of the various wavelet families such as compact support, multiresolution analysis (MRA), vanishing moments and the “two-scale” relations, make the use of wavelets in WFEM advantageous, particularly in the analysis of problems with strong nonlinearities, singularities and material property variations present. The wavelet based finite elements (WFEs) presented in this study, conceptually based on previous works, are constructed using the Daubechies and B-spline wavelet on the interval (BSWI) wavelet families. These two wavelet families possess the desired properties of multiresolution, compact support, the “two scale” relations and vanishing moments. The rod, beam and planar bar WFEs are used to study structural static and dynamic problems (moving load) via numerical examples. The dynamic analysis of functionally graded materials (FGMs) is further carried out through a new modified wavelet based finite element formulation using the Daubechies and BSWI wavelets, tailored for such classes of composite materials that have their properties varying spatially. Consequently, a modified algorithm of the multiscale Daubechies connection coefficients used in the formulation of the FGM elemental matrices and load vectors in wavelet space is presented and implemented in the formulation of the WFEs. The approach allows for the computation of the integral of the products of the Daubechies functions, and/or their derivatives, for different Daubechies function orders. The effects of varying the material distribution of a functionally graded (FG) beam on the natural frequency and dynamic response when subjected to a moving load for different velocity profiles are analysed. The dynamic responses of a FG beam resting on a viscoelastic foundation are also analysed for different material distributions, velocity and viscous damping profiles. The approximate solutions of the WFEM converge to the exact solution when the order and/or multiresolution scale of the WFE are increased. The results demonstrate that the Daubechies and B-spline based WFE solutions are highly accurate and require less number of elements than FEM due to the multiresolution property of WFEM. Furthermore, the applied moving load velocities and viscous damping influence the effects of varying the material distribution of FG beams on the dynamic response. Additional aspects of WFEM such as, the effect of altering the layout of the WFE and selection of the order of wavelet families to analyse static problems, are also presented in this study.

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Malheiro, Ana Paula Resende. "Construção de separadores globalmente suaves para conjuntos de pontos no R2 e geração de base mínima." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/275758.

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Orientador: Jorge Stolfi<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Computação<br>Made available in DSpace on 2018-08-18T02:35:56Z (GMT). No. of bitstreams: 1 Malheiro_AnaPaulaResende_D.pdf: 11382454 bytes, checksum: 9ea58ac7af766674dc90224444666560 (MD5) Previous issue date: 2011<br>Resumo: Esta tese tem duas partes relativamente independentes. A primeira estuda o problema de construir uma curva suave (C1) que separa dois conjuntos de pontos do plano. Especificamente, a curva é definida por uma equação implícita F(x, y) = 0 onde F é uma spline polinomial de grau 2 com continuidade adequada. O objetivo é determinar uma única cônica se possível, senão uma curva que minimiza uma função quadrática de "energia". O problema é reduzido a um problema de minimização quadrática com restrições, que é resolvido por uma biblioteca existente (CGAL). A segunda parte descreve um algoritmo geral para determinar uma base de elementos finitos em um espaço de splines arbitrário, definido por exemplo por restrições lineares homogêneas de continuidade ou contorno. Neste caso o problema é caracterizado como o problema de encontrar uma base de peso máximo em um matróide e, portanto, pode ser resolvido pelo algoritmo guloso de Edmonds. Esse algoritmo tem custo exponencial no número n de células da malha. Entretanto, esta tese mostra que para casos de interesse - onde existe uma base de elementos finitos com suporte de k células, no máximo - o algoritmo pode ser melhorado de modo a terminar em tempo O(n km3), onde m é a dimensão do espaço (que é geralmente O(n))<br>Abstract: This thesis has two relatively independent parts. The first part considers the problem of constructing a smooth (C1) curve separating two sets of points of the plane. Specifically, the curve is defined by an implicit equation F(x, y) = 0, where F is a polynomial spline of degree 2 with appropriate continuity. The goal is to determine a unique conic wherever possible, or a piecewise-defined curve that minimizes a quadratic "energy" function. The problem is reduced to a quadratic minimization problem with constraints, which is solved by an existing library (CGAL). The second part describes a general algorithm to determine a finite-element basis on an arbitrary space of splines; for example, a space defined by homogeneous linear boundary or continuity constraints. In this case the problem is defined as the problem of finding a maximum weight basis in a matroid, and therefore can be solved by the greedy algorithm of Edmonds. This algorithm has exponential cost in the number n of mesh cells. However, we show that for cases of interest - wherever there is a finite-element basis with maximum support of ? cells - the algorithm can be improved so as to finish in time O(n km3), where m is the dimension of the space (which is usually O(n))<br>Doutorado<br>Ciência da Computação<br>Doutor em Ciência da Computação

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Mahar, Akshay Mangal. "Buckling and post-buckling behaviour of cold-formed steel built-up columns." Thesis, Queensland University of Technology, 2022. https://eprints.qut.edu.au/232829/1/Akshay%20Mangal_Mahar_Thesis.pdf.

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This research investigated the stability and strength behaviour of cold-formed steel built-up columns. The stability behaviour was investigated by developing a compound spline finite strip based computational tool, while experiments and finite element studies were performed to investigate the strength behaviour. The results highlighted the shortcomings of the current design standards, including North American and Australian/New Zealand Standards, and led to simplified design procedures and strength equations for cold-formed steel built-up columns. Overall, this research has significantly improved the knowledge of cold-formed steel built-up columns, enabling structurally efficient and safer designs.

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Occelli, Matthieu. "Explicit dynamics isogeometric analysis : lr b-splines implementation in the radioss solver." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSEI102/document.

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L'analyse isométrique s'est révélée être un outil très prometteur pour la conception et l'analyse. Une tâche difficile consiste toujours à faire passer l'IGA de concept à un outil de conception pratique pour l'industrie et ce travail contribue à cet effort. Ce travail porte sur l'implémentation de l'IGA dans le solveur explicite Altair Radioss afin de répondre aux applications de simulation de crash et d'emboutissage. Pour cela, les ingrédients nécessaires à une intégration native de l'IGA dans un code éléments finis traditionnel ont été identifiés et adaptés à l'architecture de code existante. Un élément solide B-Spline et NURBS a été développé dans Altair Radioss. Les estimations heuristiques des pas de temps élémentaires ou nodaux sont explorées pour améliorer l'efficacité des simulations et garantir leur stabilité. Une interface de contact existante a été étendue afin de fonctionner de manière transparente avec les éléments finis NURBS et de Lagrange. Un raffinement local est souvent nécessaire pour la bonne représentation de champs non linéaires tels que les champs de déformations plastiques. Une analyse est faite en termes de compatibilité pour l'analyse et de mise en oeuvre pour plusieurs bases de fonctions Spline telles que les Hierarchical B-Splines, les Truncated Hierarchical B-Splines, les T-Splines et les Locally Refined B-Splines (LR B-Splines). Les LR B-Splines sont implémentés. Un schéma de raffinement est proposé et définit un sous-ensemble de raffinements adapté à leur utilisation au sein de Radioss. Le processus de raffinement d’un maillage initialement grossier et régulier est développé au sein du solveur. Il permet à l’utilisateur d’établir du raffinement local par un ensemble d’instructions à fournir dans le jeu de donnée de la simulation. La solution globale est validée sur des cas tests industriels, pour des cas de validation classiquement utilisés pour les codes industriels comme l'emboutissage et les tests de chute<br>IsoGeometric Analysis has shown to be a very promising tool for an integrated design and analysis process. A challenging task is still to move IGA from a proof of concept to a convenient design tool for industry and this work contributes to this endeavor. This work deals with the implementation of the IGA into Altair Radioss explicit finite element solver in order to address crash and stamping simulation applications. To this end, the necessary ingredients to a smooth integration of IGA in a traditional finite element code have been identified and adapted to the existing code architecture. A solid B-Spline element has been developed in Altair Radioss. The estimations of heuristic element and nodal stable time increment are explored to improve the accuracy of simulations and guarantee their stability. An existing contact interface has been extended in order to work seamlessly with both NURBS and Lagrange finite elements. As local refinement is needed for solution approximation, an analysis is made in terms of analysis suitability and implementation aspects for several Spline basis functions as Hierarchical B-Splines (HB-Splines), Truncated Hierarchical B-Splines (THB-Splines), T-Splines and Locally Refined B-Splines (LR B-Splines). The LR B-Spline basis is implemented. An improved refinement scheme is introduced and defines a set of analysis-suitable refinements to be used in Radioss. The refinement process of a regular coarse mesh is developed inside the solver. It allows the user to define a local refinement giving a set of instructions in the input file. The global solution is validated on industrial benchmarks, for validation cases conventionally used for industrial codes like stamping and drop test

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Kempthorne, Daryl Matthew. "The development of virtual leaf surface models for interactive agrichemical spray applications." Thesis, Queensland University of Technology, 2015. https://eprints.qut.edu.au/84525/12/84525%28thesis%29.pdf.

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This project constructed virtual plant leaf surfaces from digitised data sets for use in droplet spray models. Digitisation techniques for obtaining data sets for cotton, chenopodium and wheat leaves are discussed and novel algorithms for the reconstruction of the leaves from these three plant species are developed. The reconstructed leaf surfaces are included into agricultural droplet spray models to investigate the effect of the nozzle and spray formulation combination on the proportion of spray retained by the plant. A numerical study of the post-impaction motion of large droplets that have formed on the leaf surface is also considered.

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Books on the topic "Spline finite element"

1

Prenter, P. M. Splines and variational methods. Dover Publications, 2008.

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Dutt, Pravir. A spline-based parameter estimation technique for static models of elastic structures. ICASE, 1986.

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Shlomo, Taasan, and Institute for Computer Applications in Science and Engineering, eds. A spline-based parameter estimation technique for static models of elastic structures. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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Shlomo, Taasan, and Institute for Computer Applications in Science and Engineering, eds. A spline-based parameter estimation technique for static models of elastic structures. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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Shlomo, Ta'asan, and Institute for Computer Applications in Science and Engineering., eds. A spline-based parameter estimation technique for static models of elastic structures. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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Cottrell, J. Austin. Isogeometric analysis: Toward integration of CAD and FEA. J. Wiley, 2009.

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Hllig, Klaus. Finite element methods with B-splines. Society for Industrial and Applied Mathematics, 2003.

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Center, Langley Research, ed. Analysis of selected compression splice joint locations in a graphite-epoxy transport wing stub box. National Aeronautics and Space Administration, Langley Research Center, 1995.

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C, Newman J., and Langley Research Center, eds. Methodology for predicting the onset of widespread fatigue damage in lap-splice joints. National Aeronautics and Space Administration, Langley Research Center, 1998.

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United States. National Aeronautics and Space Administration., ed. A two dimensional interface element for coupling of independently modeled three dimensional finite element meshes and extensions to dynamic and non-linear regimes: Performance report (summary report). Dept. of Aerospace Engineering, College of Engineering, College of Engineering & Technology, Old Dominion University, 1995.

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Book chapters on the topic "Spline finite element"

1

Vuong, Anh-Vu. "Prerequisites from Applied Geometry and Spline Theory." In Adaptive Hierarchical Isogeometric Finite Element Methods. Vieweg+Teubner Verlag, 2012. http://dx.doi.org/10.1007/978-3-8348-2445-5_2.

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Long, Yu-Qiu, and Si Yuan. "Spline Element II — Analysis of Plate/Shell Structures." In Advanced Finite Element Method in Structural Engineering. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00316-5_19.

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Bian, Jixuan, Cheng Wang, Xueyan Sun, Guodong Wang, Wei Hou, and Peng Zhang. "Strength Analysis of Transmission Shaft Spline Pair Under Wide-Area Load." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-97-7887-4_109.

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Abstract In this paper, the left, middle and right spline pair of transmission shaft is taken as the research object, and the geometric model after parametric modeling is imported into finite element software to obtain the distribution law of equivalent stress, bending stress, contact stress and relative slip of involute spline pair. The effects of contact length, number of teeth, modulus and friction factors on involute spline are studied, to provide reference for the design and engineering application of involute spline pair of transmission shaft for power split transmission.

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Long, Yu-Qiu, and Zhong Fan. "Spline Element I—Analysis of High-Rise Building Structures." In Advanced Finite Element Method in Structural Engineering. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00316-5_18.

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Wang, Ren-Hong. "Applications of multivariate spline functions in finite element method and CAGD." In Multivariate Spline Functions and Their Applications. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-2378-7_7.

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Vermeulen, Allan H., and Glenn R. Heppler. "Shear Locking in B-Spline Based Finite Element Formulations." In Computational Mechanics ’95. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79654-8_264.

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Hong, Wan. "Mixed Spline Finite Element Analysis of Shells of Revolution." In Computational Mechanics ’88. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61381-4_160.

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Mukhopadhyay, Madhujit, and Abdul Hamid Sheikh. "Semi-analytical and Spline Finite Strip Method of Analysis of Plate Bending." In Matrix and Finite Element Analyses of Structures. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08724-0_13.

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Fang, Lishan, and Linda Stals. "Adaptive Finite Element Thin-Plate Spline With Different Data Distributions." In Domain Decomposition Methods in Science and Engineering XXVI. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95025-5_72.

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Fischer, A., P. Kagan, P. Z. Bar-Yoseph, and M. Shpitalni. "A B-Spline Finite Element Approach for Designing and Analyzing Sculptured Objects." In Product Modeling for Computer Integrated Design and Manufacture. Springer US, 1997. http://dx.doi.org/10.1007/978-0-387-35187-2_11.

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Conference papers on the topic "Spline finite element"

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Fang, Eugene, Yicong Lai, Nam Phan, Jim Lua, and Yongjie Zhang. "A Coupled Isogeometric Analysis and Finite Element Approach for Accurate Response Prediction of a Complex Structure." In Vertical Flight Society 73rd Annual Forum & Technology Display. The Vertical Flight Society, 2017. http://dx.doi.org/10.4050/f-0073-2017-12176.

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A critical step in the isogeometric analysis (IGA) is to create a finite element model that employs the same spline functions used in the geometric model of CAD drawings. While advanced T-spline modeling techniques have been developed to enhance the modeling capability for a complex 3D geometry, it still cannot be generalized to an arbitrary complex geometry. Sometimes, it is not always feasible to convert a complex CAD model to pure volumetric NURBS/T-splines. Building an all-hex control mesh and preserving all detailed features can be extremely hard, especially for some sharp features. Given that the CAD tools currently lack the capability to create an analysis suitable T-spline model for a 3D geometry, a rational modeling approach based on the IGA enriched Bézier element for a commercial finite element software such as Abaqus is developed by combining IGA basis functions with traditional piecewise linear finite element basis functions. The essential feature of this hybrid approach includes the application of IGA elements for the surface layer of a complex geometry and the use of a conventional finite element mesh for its interior region. An incompatibility between the kinematic description of the surface layer and the interior regions is captured by using the IGA enriched Bézier elements. After the verification at element level, the applicability of the hybrid approach based on the IGA enriched Bézier element is demonstrated via the response prediction of a 3D mechanical component.

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Fang, Eugene, Yicong Lai, Nam Phan, Jim Lua, and Yongjie Zhang. "Isogeometric Analysis Based Finite Element Approach for Ductile Failure Prediction of the Second Sandia Fracture Challenge Problem." In Vertical Flight Society 72nd Annual Forum & Technology Display. The Vertical Flight Society, 2016. http://dx.doi.org/10.4050/f-0072-2016-11540.

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It is a great challenge to perform an accurate and efficient ductile failure prediction of an aerospace structural component with multiple stress concentrators resulting from geometric discontinuities, fillers, or holes. The fidelity of a finite element analysis depends strongly on the quality of mesh construction for accurate representation of the component geometry. In order to create a finite element model from CAD geometry directly without data conversion, an isogeometric analysis toolkit for Abaqus (IGAFA) has been developed by integrating existing computer aided design (CAD) software with a customized Abaqus toolkit using a volumetric T-spline based IGA element for Abaqus. Under this study, we have augmented the existing IGAFA toolkit for Abaqus by implementing the Hill's plasticity model to capture the competition of tensile and shear driven ductile failure mechanisms. The capability of using IGAFA for ductile failure prediction is demonstrated via its application to the failure prediction of the recent second Sandia Fracture Challenge (SFC2).

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Vinaud, Felipe J., and Thiago de A. Bosqueiro. "Non-Linear Finite Element Analysis of an Open Spline Connection." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22101.

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Abstract Splines are geared mechanical connections widely used for torque transmission. The analysis of splined connections follows straightforward techniques that take into account the stresses developed at the gear root and flanks. Special difficulties arise when the spline connection needs to eliminate backlash and the part’s geometry is not symmetrical. Misalignment, combined loads and differences in stiffness are responsible for causing a non even contact profile between teeth along the spline circumference. These conditions lead to dissimilar stress profiles and some teeth end up being subject to significantly higher stresses. This work analyses the stress profile of a peculiar spline component used in flight control actuation systems of EMBRAER aircraft, tailored to eliminate backlash due to the need of accurate positioning feedback. Normally, for this kind of application, the external spline has an open geometry and the backlash is avoided by means of a bolt used to tighten both sides of the open spline. There are no known analytic solutions that consider the bolt tightening effect and the contact stress distribution appearing on the gear teeth which depends on the spline geometry and local stiffness of the parts being joined. To approximate the spline local stress distributions, a non-linear finite element model was developed and the resulting stresses were compared to those from methodologies available in the literature. Finally the finite element model results were used to successfully approximate the fatigue life and damage tolerance cycles of a spline connection that broke during certification tests of the flap mechanism of an EMBRAER aircraft.

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Richter, C. C., and G. R. Heppler. "L-Spline Finite Elements." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81747.

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The L-spline finite element method is applied to the static deflection analysis and linear vibration analysis of curved Euler-Bernoulli and Timoshenko beams. A formal definition of membrane locking is presented along with a simple test that allows a priori determination of an L-spline finite element models susceptibility to locking. Formulations for both types of beam models, that under certain discretizations experience locking are presented. Examples that demonstrate the efficacy of the locking test and illustrate the L-spline finite element method performance are included.

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Kumar, Ashok V., and Ravi K. Burla. "Finite Element Analysis Using Uniform B-Spline Basis." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49696.

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Implicit boundary finite element method uses structured grids for analysis instead of a conforming finite element mesh. The geometry of the structure is represented independently using curve / surface equations. These equations are used to apply boundary conditions even though there may not be nodes available on the boundary. In this paper, this method is applied for analysis using uniform B-spline basis defined over structured grids. Solutions can be constructed that are C1 or C2 continuous throughout the analysis domain using B-spline basis functions. Therefore, the computed stress and strain are continuous in the analysis domain thus eliminating the need for smoothing stress/strain results. Compared to conforming mesh, it is easier to generate structured grids that overlap the geometry and the elements in the grid are regular shaped and undistorted. Numerical examples are presented to demonstrate the performance of these B-spline elements. The results are compared with analytical solutions as well as traditional finite element solutions. Convergence studies for several examples show that B-spline elements provide accurate solutions with fewer elements and nodes as compared to traditional finite element method (FEM).

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Bajaj, Chandrajit, Radhakrishna Bettadapura, Na Lei, Alex Mollere, Chao Peng, and Alexander Rand. "Constructing A-spline weight functions for stable WEB-spline finite element methods." In the 14th ACM Symposium. ACM Press, 2010. http://dx.doi.org/10.1145/1839778.1839800.

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Carminelli, Antonio, and Giuseppe Catania. "PB-Spline Finite Element Shell Modeling and Refinement Technique." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87232.

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This paper presents a Point Based (PB) spline degenerate shell finite element model to analyze the behavior of thin and moderately thick-walled structures. Complex shapes are modeled with several B-spline patches assembled as in conventional finite element technique. The refinement of the solution is carried out by superimposing a tensorial set of B-spline functions on a patch and employing the PB-spline generalization. The domains for the numerical integration are defined by making use of the retained tensorial framework. Some numerical examples are presented. Considerations regarding strengths and limits of the approach then follow.

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Brown, Joanna M., Malcolm I. G. Bloor, M. Susan Bloor, and Michael J. Wilson. "Generation and Modification of Non-Uniform B-Spline Surface Approximations to PDE Surfaces Using the Finite Element Method." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0032.

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Abstract A PDE surface is generated by solving partial differential equations subject to boundary conditions. To obtain an approximation of the PDE surface in the form of a B-spline surface the finite element method, with the basis formed from B-spline basis functions, can be used to solve the equations. The procedure is simplest when uniform B-splines are used, but it is also feasible, and in some cases desirable, to use non-uniform B-splines. It will also be shown that it is possible, if required, to modify the non-uniform B-spline approximation in a variety of ways, using the properties of B-spline surfaces.

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SUNDARARAJAN, S., and S. AMIN. "Finite-element analysis of ring gear/casing spline contact." In 24th Joint Propulsion Conference. American Institute of Aeronautics and Astronautics, 1988. http://dx.doi.org/10.2514/6.1988-2981.

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Carminelli, Antonio, and Giuseppe Catania. "B-Spline Finite Element Formulation for Laminated Composite Shells." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67420.

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This paper presents a finite element formulation for the dynamical analysis of general double curvature laminated composite shell components, commonly used in many engineering applications. The Equivalent Single Layer theory (ESL) was successfully used to predict the dynamical response of composite laminate plates and shells. It is well known that the classic shell theory may not be effective to predict the deformational behavior with sufficient accuracy when dealing with composite shells. The effect of transverse shear deformation should be taken into account. In this paper a first order shear deformation ESL laminated shell model, adopting B-spline functions as approximation functions, is proposed and discussed. The geometry of the shell is described by means of the tensor product of B-spline functions. The displacement field is described by means of tensor product of B-spline shape functions with a different order and number of degrees of freedom with respect to the same formulation used in geometry description, resulting in a non-isoparametric formulation. A solution refinement method, making it possible to increase the order of the displacement shape functions without using the well known B-spline “degree elevation” algorithm, is also proposed. The locking effect was reduced by employing a low-order integration technique. To test the performance of the approach, the static solution of a single curvature shell and the eigensolutions of composite plates were obtained by numerical simulation and are then compared with known solutions. Discussion follows.

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Reports on the topic "Spline finite element"

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INVESTIGATION OF CYCLIC BEHAVIOR OF FULL-SCALE TREE-LIKE HOLLOW STRUCTURAL SECTION COLUMNS WITH INFILLED CONCRETE. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.287.

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The cyclic behavior of tree-like hollow structural section (HSS) columns with infilled concrete was experimentally and numerically investigated. A full-scale column, with the height of 3.2 m and the treetop plan dimension of 4 m×3 m, was designed and manufactured according to a practical engineering prototype. The column with a capacity protected reinforced concrete foundation was tested under combined constant axial compression and cyclic lateral loading through a specifically designed setup. The cracking and spalling of the reinforced concrete foundation were observed initially, followed by yielding of the bottom end of the primary branches when the story drift ratio reached 1.00%. The specimen failed by fracture of the full penetration groove welded splices in the petal-shaped trunk embedded in the foundation when the story drift ratio reached 3.00%. A detailed finite element analysis model for the tree-like column was then established and verified. Parametric studies were conducted to investigate the influence of the axial load level, filling range of concrete, steel yield strength, and the height to width ratio of the petal-shaped trunk. Finally, some design considerations were proposed.

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