The Research for the Arc-length Equation of the Spiral Curvein Highway

ZHANG Kun-yi; LUO Zhi-qiang; WEI De-hong; LU Jun-xiong

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

The Research for the Arc-length Equation of the Spiral Curvein Highway

更新时间：2026-05-27

- The Research for the Arc-length Equation of the Spiral Curvein Highway
- Vol. 23, Issue 3, Pages: 67-71(2006)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2006
- 稿件说明：
移动端阅览
张坤宜, 罗志强, 魏德宏, 吕君雄. 公路缓和曲线弧长的精确解及其应用[J]. 广东工业大学学报, 2006, 23(3): 67-71.

ZHANG Kun-yi, LUO Zhi-qiang, WEI De-hong, et al. The Research for the Arc-length Equation of the Spiral Curvein Highway[J]. 2006, 23(3): 67-71.
张坤宜, 罗志强, 魏德宏, 吕君雄. 公路缓和曲线弧长的精确解及其应用[J]. 广东工业大学学报, 2006, 23(3): 67-71. DOI：

ZHANG Kun-yi, LUO Zhi-qiang, WEI De-hong, et al. The Research for the Arc-length Equation of the Spiral Curvein Highway[J]. 2006, 23(3): 67-71. DOI：

摘要

根据微分几何理论

按反分析原理

从缓和曲线的整体结构关系中推证了缓和曲线弧长基础方程的形式。该文同时利用现代数学与测量平差理论的研究成果

分析缓和曲线弧长基础方程的收敛性质

提出直接精确求解缓和曲线弧长的迭代方法.介绍应用缓和曲线弧长方程求解弧长的技术方案“弃A取p”

突破“参数估计法”的技术难点

为缓和曲线的应用提供“精确、简便”的新技术思路.缓和曲线弧长基础方程的提出及其解法和应用试验表明

缓和曲线没有理想精确弧长方程的历史已经结束;缓和曲线弧长基础方程在缓和曲线弧长直接精确求解和各种曲线组合定位中具有独特优点和显著的通用特征.

Abstract

According to the differential geometry theory and counter-analysis principle

this paper deduces the spiral curve arc-length base equation of higher degree from its total construction.Applying the theory about the modern mathematics and the survey adjustment

it analyses the astringent properties in the arc-length base equation of the spiral curve and advances a method—the iterative method to get the arc-length of the spiral curve directly and precisely.Applying the technologyical project on "p substitute for A"

making a breakthrough at the old and trouble method—"parameter estimate method "0

getting the arc-length of the spiral curve

the new technological project is used in the highway.There are some conclusions in this paper: the history that no arc-length base equation for the spiral curves has been closed;it is important that the special characteristics of the arc-length base equation may be employed universally in the curve composing and positioning.

关键词

Keywords

references

张坤宜,杜宏彪,魏德宏. 缓和复曲线中插缓和曲线弧长的直接精确解[J]. 公路. 2004(08)

张坤宜主编.交通土木工程测量[M]. 武汉大学出版社, 2003

王伯惠编著.道路立交工程[M]. 人民交通出版社, 2000

吴国雄,王福建编著.公路平面线形曲线型设计方法[M]. 人民交通出版社, 2000

武汉测绘学院大地测量系《测量平差基础》编写组编.测量平差基础[M]. 测绘出版社, 1978

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

A Study of the Highway Shockwave Elimination Method Based on the Internet of Things

The Cross-twin Physics-informed Neural Network for Wave Equations with Conserved Quantities

An Optimal Operation Strategy for Community Microgrid Alliances Considering Power Exchange under Multi-package Shared Energy Storage Model

Research on Foreign Object Detection in Power Transmission Lines Based on the AAGV-YOLOX Model

Multi-Scale Contrastive Embedding Enhanced Adaptive Intrusion Detection Model

Related Author

Huang Ling

Related Institution

No data

AI问答

⁰