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1991, 02, 72-83
动力学普遍定理的矩阵解及坐标变换矩阵
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摘要:

本文在经典动力学的基础上提出求解动力学普遍定理的矩阵解定型公式.矩阵解之最大优点是具有极方便之坐标转换性能而且便于以 Fortran 语言储入电脑.本文同时以直观的几何方法导出坐标变换矩阵,以便于应用.

Abstract:

Basing on the classical mechanics,the author provides the matrix solutions for the general theorems of dynamics in typical formulas.The advantages of such matrix typical formulas are their characteristics of convenient coordinate system transformation. Besides,the data in the formulas are easily put into a computer with FORTRAN LAN- GUAGE.In this article the transformation matrices of coordinate systems are derived with geometrical method for the purpose of application.

参考文献

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2 M.R.施毕格尔著:程敬学,郑旭明译.理论力学的理论和问题.广西人民出版社,1981. 27~29

3 同济大学编.线性代数.北京:人民教育出版社,1983. 32~33

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5 南京工学院,西安交通大学主编.理论力学下册.北京:高等教育出版社,1988. 29~148

6 C Plumpton & W A.Tomkys.Theoretical Mechanics for Sixth Forms.New York:Pergamon Press,1980. 203~223

7 Alexander Gramham.Matrix Theory and Application.London:John Wiley & Sons Inc,1979

8 Ferdinand P Beer.Vector Mechanics for Engineers.San Francisco:Mc Graw-Hill,Inc.1987

9 N C Barford.Mechanies.Toronto:John Wiley & Sons,1986

基本信息:

中图分类号:O313.1

引用信息:

[1]郑旭明.动力学普遍定理的矩阵解及坐标变换矩阵[J].广西农学院学报,1991(02):72-83.

发布时间:

1991-07-02

出版时间:

1991-07-02

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