An Algorithm of State-Space Precomputation Allowing Non-linear Haptic Deformation Modelling Using Finite Element Method

机译：一种允许使用有限元法的非线性触觉变形建模的状态空间预兆算法

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After presenting the mathematical background of modelling elastic deformations together with finite element formulation, we propose a new algorithm allowing haptic interaction with soft tissues having both non-linear geometric and physical properties. The algorithm consists of two phases-first the configuration space is precomputed in a high-performance possibly distributed environment, then the precomputed data are used during the haptic interaction. In the paper we focus mainly on sequential description of the first phase of the algorithm. We present some preliminary experimental results concerning the accuracy of the proposed method as well and the sketch of further extensions.

机译：在将弹性变形的数学背景与有限元制构中呈现建模的数学背景之后，我们提出了一种新的算法，允许与具有非线性几何和物理性质的软组织的触觉相互作用。该算法由两个阶段组成 - 首先，配置空间在高性能可能分布式环境中预先计算，然后在触觉交互期间使用预先计算的数据。在本文中，我们主要关注算法的第一阶段的顺序描述。我们介绍了一些关于所提出的方法的准确性的初步实验结果以及进一步延伸的草图。

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《EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems》|2007年||共6页
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Igor Peterlik; Ludek Matyska;
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1. Algorithmic aspects of deformation dependent loads in non-linear static finite element analysis [J] . D.P. Mok, W.A. Wall, M. Bischoof Engineering Computations . 1999,第5期

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2. Non-linear free vibration analysis of laminated composite cylindrical/hyperboloid shell panels based on higher-order shear deformation theory using non-linear finite-element method [J] . S K Panda, B N Singh Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering . 2008,第7期

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4. An Algorithm of State-Space Precomputation Allowing Non-linear Haptic Deformation Modelling Using Finite Element Method [C] . Igor Peterlik, Ludek Matyska EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems . 2007

机译：一种允许使用有限元法的非线性触觉变形建模的状态空间预兆算法
5. Modeling crash dynamic responses of high energy absorbing materials by multi-body, non-linear finite element, and optimization methods. [D] . Wu, Fubang. 1995

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6. Neurosurgery Simulation Using Non-linear Finite Element Modeling and Haptic Interaction [O] . Huai-Ping Lee, Michel Audette, Grand Roman Joldes, -1

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7. An Algorithm of State-Space Precomputation Allowing Non-linear Haptic Deformation Modelling Using Finite Element Method [O] . Igor Peterlík, Luděk Matyska 2012

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8. A coupled/uncoupled deformation and fatigue damage algorithm utilizing the finite element method [R] . Wilt, Thomas E., Arnold, Steven M. 1994

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An Algorithm of State-Space Precomputation Allowing Non-linear Haptic Deformation Modelling Using Finite Element Method

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