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二分搜索法求解悬链线问题

         

摘要

Catenary problem is one of the problems often encountered in modem engineering practice.In the two cases that two hanging points at the same height and different heights,the paper analyzes the conventional mathematical methods for solving the catenary coefficient,sag and the abscissa of the hanging points.Due to the large amount of calculation and the error is difficult to grasp,the paper proposes the binary search programming specific ideas to assist in solving,and offers three complete programs and data for different applications,compares and analyzes the mathematical methods and programming methods.Taking the boom erection project as an example,the paper provides a complete C program and the main function flowchart,and describes in more detail the procedures to solve the relevant parameters.The above method has been applied to practice many times,and it is simple and feasible.%悬链线问题是现代工程实践中经常遇到的问题之一.分析悬点等高及不等高两种情况下悬链系数、弛垂度、悬点水平坐标的常规数学求解方式,基于其运算量大,误差难以把握的不足,提出应用二份搜索程序设计思想辅助求解的具体思路.分别给出3种不同应用的完整程序及数据,比较分析数学方式与程序设计求解方法.以吊杆架设工程应用为实例,结合完整C语言程序及其主函数流程图,较详细地描述了相关各参数的程序求解过程.上述方法已多次应用于实践,是简单可行的.

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