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上海交通大学学报(自然版)
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  建筑科学 本期目录 | 过刊浏览 | 高级检索 |
层状地基问题的辛几何本征解法
杨有贞,葛修润
(上海交通大学 船舶海洋与建筑工程学院, 上海 200240)
A New Systematic Computational Method for Layered Halfspace Solid
YANG You-zhen,GE Xiu-run
(School of Naval Architechture, Ocean and Civil Engineering,
Shanghai Jiaotong University, Shanghai 200240, China)
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摘要 通过引入哈密顿体系,导出了横观各向同性层状半空间体的对偶方程组,将地基问题归结为哈密顿体系下的本征值和本征解问题.利用辛本征解空间的完备性,建立一套封闭的求解问题的方法.实现了欧几里德空间向辛几何空间的转换,从而使得分离变量及本征函数向量展开的解法得以实施,为地基的研究提供了一条新的途径.
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AbstractBased on the dual variables, the Hamiltonian system theory was introduced into space foundation, and the transformation from Euclidian space to symplectic space was realized.Therefore, the method of separation of variable and eigenfunction expansion method were derived to solve this problem,i.e. a new systematic methodology for foundation was presented.
收稿日期: 2007-10-27      出版日期: 2008-11-28
ZTFLH:  TU 311  
通讯作者: 葛修润   
引用本文:   
杨有贞,葛修润. 层状地基问题的辛几何本征解法[J]. 上海交通大学学报(自然版), .
YANG You-zhen,GE Xiu-run. A New Systematic Computational Method for Layered Halfspace Solid. J. Shanghai Jiaotong Univ.(Sci.) , 2008, 42(11): 1876-1879.
链接本文:  
http://www.qk.sjtu.edu.cn/jsjtunc/CN/      或      http://www.qk.sjtu.edu.cn/jsjtunc/CN/Y2008/V42/I11/1876
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