| 基于El-Nabulsi动力学模型的Birkhoff力学 |
| |
| 引用本文： | 丁金凤,张毅.基于El-Nabulsi动力学模型的Birkhoff力学[J].铁道师院学报,2014(1):24-28. |
| |
| 作者姓名： | 丁金凤 张毅 |
| |
| 作者单位： | [1]苏州科技学院数理学院,江苏苏州215009 [2]苏州科技学院土木工程学院,江苏苏州215011 |
| |
| 基金项目： | 国家自然科学基金资助项目（10972151;11272227） |
| |
| 摘 要： | El-Nabulsi在研究非保守系统的动力学建模时，提出了三种类分数阶变分方法，即：基于Riemann-Liouville分数阶积分的变分问题，基于按指数律拓展的分数阶积分的变分问题和基于按周期函数律拓展的分数阶积分的变分问题。将上述三种El-Nabulsi动力学模型拓展到Birkhoff系统，建立了El-Nabulsi-Pfaff变分问题，导出了El-Nabulsi-Pfaff-Birkhoff-d’Alembert原理和El-Nabulsi-Birkhoff方程。文末，举例说明结果的应用。
|
| 关 键 词： | Birkhoff系统 El-Nabulsi动力学模型 El-Nabulsi-Pfaff变分问题 El-Nabulsi-Birkhoff方程 |
Birkhoffian mechanics based on El-Nabulsi dynamical model |
| |
| DING Jinfeng,ZHANG Yi.Birkhoffian mechanics based on El-Nabulsi dynamical model[J].Journal of Suzhou Railway Teachers College(Natural Science Edition),2014(1):24-28. |
| |
| Authors: | DING Jinfeng ZHANG Yi |
| |
| Institution: | 1.College of Mathematics and Physics,SUST,Suzhou 215009,China;2.College of CM1 Engineering,SUST, Suzhou 215011, China) |
| |
| Abstract: | Studying the dynamical modeling of a non-conservative system, El-Nabulsi has put forward three kinds of fractional variational approaches： the fractional variational approach based on the definition of the Rie-mann-Liouville fractional integral, the fractional variational approach based on exponentially extended fractional integral, and the fractional variational approach based on the fractional integral extended by periodic law. In this article, we have extended these El-Nabulsi dynamical models to a Birkhoffian system and established the corre-sponding El-Nabulsi-Pfaff variational problems. Besides, we have deduced the El-Nabulsi-Pfaff-Birkhoff-d＇Alembert principles and the El-Nabulsi-Birkhoff equations. Finally, the application of the results is illustrated. |
| |
| Keywords: | Birkhoffian system El-Nabulsi dynamical model El-Nabulsi-Pfaff variational problem El-Nabulsi-Birkhoff equation |
| 本文献已被 维普 等数据库收录！ |
