A numerical method to enhance the accuracy of mass-spring systems for modeling soft tissue deformations.
This technical note presents a numerical corrective technique that allows control of nonlinearity in a mass-spring system (MSS) independent of its spring constants or system topology. The governing equations of MSS in the form of ordinary differential equations or a regular function accompanied by a...
| Publicado en: | Journal of Applied Biomechanics Vol. 25; no. 3; pp. 271 - 279 |
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| Autor principal: | |
| Formato: | equations & formulas research tables/charts Journal Article |
| Publicado: |
Human Kinetics Publishers, Inc.
Aug2009
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=105402753&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 105402753 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 10658483 0DM jtl: Journal of Applied Biomechanics issn: 10658483 maglogo: N pubinfo: dt: Aug2009 vid: 25 iid: 3 pid: 553 pub: Human Kinetics Publishers, Inc. place: Champaign, Illinois artinfo: ui: 105402753 105402753 2010366142 10.1123/jab.25.3.271 NLM19827478 105402753 ppf: 271 ppct: 8 formats: tig: atl: A numerical method to enhance the accuracy of mass-spring systems for modeling soft tissue deformations. aug: au: Mohammadi H affil: University of Western Ontario, London, Ontario, Canada sug: subj: Elasticity Evaluation Models, Statistical Algorithms Data Analysis Software Finite Element Analysis Funding Source Mathematics Human ab: This technical note presents a numerical corrective technique that allows control of nonlinearity in a mass-spring system (MSS) independent of its spring constants or system topology. The governing equations of MSS in the form of ordinary differential equations or a regular function accompanied by any boundary or initial condition as known constraints, are employed to modify the results. A least-squares algorithm coupled with the finite difference method is used to discretize the basic residual function implemented in this corrective technique. This numerical solution is applicable to both static and dynamic MSS. This technique is easy to implement and has accuracy similar to that of the equivalent finite element method (FEM) solution to the same system whereas solutions are obtained in a fraction of the CPU time. The proposed technique can also be used to smooth solutions from other methods such as FEM or boundary element method (BEM). pubtype: Academic Journal doctype: equations & formulas research tables/charts Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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