• CN:11-2187/TH
  • ISSN:0577-6686

›› 2006, Vol. 42 ›› Issue (8): 159-163.

• 论文 • 上一篇    下一篇

基于物理模型的曲线保形性重构技术

唐克伦;张湘伟;成思源;熊汉伟;张洪   

  1. 重庆大学资源及环境科学学院;四川理工学院机电系;广东工业大学机电学院
  • 发布日期:2006-08-15

PHYSICAL-BASED SHAPE PRESERVING CURVE RECONSTRUCTION

TANG Kelun;ZHANG Xiangwei;CHENG Siyuan;XIONG Hanwei;ZHANG Hong   

  1. College of Resource and Environmental Science, Chongqing University Department of Electro-Mechanical Engineering, Sichuan University of Science & Engineer Faculty of Electromechanical Engineering, Guangdong University of Technology
  • Published:2006-08-15

摘要: 实现多种数据的融合是提高反求工程中数据获取的精度和效率的一种有效途径。提出的一种基于物理模型的曲线保形性重构方法,较好地解决了三标测量机的测量数据和视觉信息的融合问题。从材料力学原理出发,提出了曲线歪斜能作为内能,并以少量精确测量数据点为平衡位置建立曲线的弹性势能作为外能。依据变分原理,采用B样条有限元法,确定曲线变形后的平衡位置。数值模拟表明,利用该方法重构的曲线能够较好地逼近真实曲线。

关键词: B样条, 保形性, 曲线重构, 有限元法, 供油条件, 挤压油膜阻尼器, 计算流体力学, 阻尼

Abstract: Fusion of various data is an effective way to im- prove the precision and efficiency of data acquiring in reverse engineering. A method of physical-based shape preserving curve reconstruction is proposed to better realize the data fusion of coordinate measuring machine(CMM) and visual information. From the principle of materials mechanics, the strain energy of curve corresponding to the distortion is advanced as the internal energy, and the elastic potential energy of curve is established, using few precise measured data point as the equilibrium position, to be the external energy. Based on principle of variation calculus, the basic spline finite element method(B-spline FEM) is used to determine the equilibrium position of curve deformation. Numerical simulation indicates that there is an extremely good agreement between the new fitted curve and the real curve.

Key words: Curve reconstruction, Shape preservation, B-spline, Finite element method, Computational fluid dynamics, Damping, Oil supply conditions, Squeeze film damper

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