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Study on Physically-Based Methods for Assisting Interactive object Layout

基于物理的辅助交互对象布局方法研究

基本信息

批准号：
08650307
负责人：
INUI Masatomo
金额：
$ 0.26万
依托单位：
IBARAKI UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1996
资助国家：
日本
起止时间：
1996 至 1998
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08650307/
关键词：
Tolerance Analysis Object Layout Process Planning Robust Geometric Computation Solid Modeling CAD 対話処理制約充足干渉検出

项目摘要

Most mechanical products can be considered as a collection of rigid objects properly configured in a three dimensional space. They realize their function by transferring forces and motions through contact relations between the component objects. The purpose of our study is to develop fast computation algorithms for analyzing these dynamic interactions and their effects on the mechanical behavior of the product.The following three results are obtained in our study.1. Tolerance analysis Any machine parts have geometric deviations due to their production. They cause various functional uncertainties of mechanical products. Designers control the effect of the deviations by specifying proper tolerances on the parts. We develop an algebraic algorithm for analyzing position uncertainties of two parts in an assembly if certain shape variations of individual parts are allowed by tolerances.2. Efficient collision detection Many tasks in machine design and manufacturing activities can be formulated as layouting of solid objects in a spatial region. Component parts of a precise mechanical product are very tightly placed in a small spatial region, therefore possible pairs of parts to contact are usually limited. Based on this characteristic of mechanical products, we develop some efficient algorithms for detecting and avoiding collisions between the parts.3. Robust geometric computation Numerical data describing the solid geometry are usually given using floating point numbers. Since floating point numbers are basically approximations, there may be imprecision that leads to inconsistencies about the represented object. Some types of the inconsistencies can be avoided by using tolerance ideas of the mechanical design field. Based on this concept, several tolerance based algorithms for stable geometric processing are developed.

大多数机械产品可以被认为是在三维空间中适当配置的刚性物体的集合。它们通过组件对象之间的接触关系传递力和运动来实现其功能。本研究的目的是开发快速计算算法来分析这些动态相互作用及其对产品力学行为的影响。公差分析任何机器零件由于其生产都有几何偏差。它们引起机械产品的各种功能不确定性。设计人员通过在零件上指定适当的公差来控制偏差的影响。在公差允许的情况下，提出了一种分析装配体中两个零件位置不确定度的代数算法.高效的碰撞检测机器设计和制造活动中的许多任务可以用公式表示为空间区域中实体对象的布局。精密机械产品的零部件非常紧密地放置在一个小的空间区域内，因此可能接触的零部件对通常是有限的。针对机械产品的这一特点，提出了一些有效的碰撞检测和避碰算法.鲁棒几何计算描述立体几何的数值数据通常使用浮点数给出。由于浮点数基本上是近似值，因此可能存在不精确性，从而导致所表示对象的不一致性。某些类型的不一致可以通过使用机械设计领域的公差思想来避免。在此基础上，提出了几种基于公差的稳定几何加工算法。