国家自然科学基金(10872084)

作品数：3被引量：13H指数：3
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相关作者：郭永新王勇刘畅吕群松更多>>
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Inverse problem for Chaplygin’s nonholonomic systems被引量：4
《Science China(Technological Sciences)》2011年第8期2100-2106,共7页LIU Chang LIU ShiXing GUO YongXin 
supported by the National Natural Science Foundation of China (Grant Nos. 10932002, 10872084, and 10472040);the Outstanding Young Talents Training Fund of Liaoning Province of China (Grant No. 3040005);the Research Program of Higher Education of Liaoning Prov- ince, China (Grant No. 2008S098);the Program of Supporting Elitists of Higher Education of Liaoning Province, China (Grant No. 2008RC20);the Program of Constructing Liaoning Provincial Key Laboratory, China (Grant No. 2008403009)
Chaplygin’s nonholonomic systems are familiar mechanical systems subject to unintegrable linear constraints, which can be reduced into holonomic nonconservative systems in a subspace of the original state space. The ...
关键词：nonholonomic constraints inverse problems Birkhoff’s equations geonotopic transformations conditions of self-adjointness 
Nonholonomic mapping theory of autoparallel motions in Riemann-Cartan space被引量：6
《Science China(Physics,Mechanics & Astronomy)》2010年第9期1707-1715,共9页GUO YongXin1,LIU Chang2,WANG Yong3,LIU ShiXing1 & CHANG Peng2 1 College of Physics,Liaoning University,Shenyang 110036,China 2 School of Aerospace Engineering,Beijing Institute of Technology,Beijing 110081,China 3 School of Basic Medical Science,Guangdong Medical College,Dongguan 523808,China 
supported by the National Natural Science Foundation of China (Grant Nos 10932002, 10872084 and 10472040);the Outstanding Young Talents Training Fund of Liaoning Province of China (Grant No 3040005);the Research Program of Higher Education of Liaoning Province of China (Grant No 2008S098);the Program Supporting Elitists of Higher Education of Liaoning Province of China (Grant No 2008RC20);the Program of Constructing Liaoning Provincial Key Laboratory of China (Grant No 2008403009)
The method of nonholonomic mapping is utilized to construct a Riemann-Cartan space embedded into a known Riemann-Cartan space,which includes two special cases that a Weitzenbck space and a Riemann-Cartan space are res...
关键词：NONHOLONOMIC MAPPING Riemann-Cartan SPACE connection torsion autoparallel 
非完整映射理论与刚体定点转动的几何描述被引量：8
《物理学报》2009年第8期5142-5149,共8页王勇 郭永新 吕群松 刘畅 
国家自然科学基金(批准号:10872084和10472040);辽宁省优秀青年科研人才培养基金(批准号:3040005);辽宁省高校科研基金(批准号:2008S098);辽宁省高等学校优秀人才支持计划(批准号:2008RC20);辽宁省重点实验室建设计划(批准号:2008403009)资助的课题~~
利用非完整映射方法,从一个已知Riemann空间构造一个嵌入其中的Riemann-Cartan空间.作为特例,研究从Euclidean空间构造Weitzenbock空间的方法.基于dAlembert-Lagrange原理和非完整映射,将一个Riemann空间的测地线对应于另一个Riemann-Ca...
关键词：欧拉角 非完整映射 Riemann-Cartan空间 自平行线 
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