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一阶无穷小位移机构的刚化判定 被引量:1
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作者 王春江 钱若军 王人鹏 《力学季刊》 CSCD 北大核心 2001年第4期482-488,共7页
一阶无穷小位移机构是一类具有机构性能的特殊的新型空间结构,从工程结构的角度考虑,只有能够消除机构性而获得几何刚度的体系才是可承载的结构体系。一阶无穷小位移机构的几何刚度的获得是通过体系的相对机构位移而获得的,这与传统结... 一阶无穷小位移机构是一类具有机构性能的特殊的新型空间结构,从工程结构的角度考虑,只有能够消除机构性而获得几何刚度的体系才是可承载的结构体系。一阶无穷小位移机构的几何刚度的获得是通过体系的相对机构位移而获得的,这与传统结构的几何刚度的概念是完全不同的。因此,研究一阶无穷小位移机构的刚化问题是非常重要的。Maxwell准则只从体系的拓扑关系来考虑体系的几何稳定性,这显然不能应用于一阶无穷小位移机构的刚化判定问题。本文基于矩阵向量空间分解的理论和一阶无穷小位移机构的概念,在体系的平衡矩阵引入了边界条件,对一阶无穷小位移机构的刚化判定问题进行了分析,运用功能原理给出了一阶无穷小位移机构刚化的等价条件和判定方法。通过几个数值算例验证了本文结论和方法是正确、可靠的。 展开更多
关键词 一阶无穷小位移机构 伪可变体系 乘积力 正定 刚化判定 几何刚度 空间结构 相对机构位移 边界条件 功能原理 平衡矩阵
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Time-Dependent Density Matrix Renormalization Group Coupled with n-Mode Representation Potentials for the Excited State Radiationless Decay Rate:Formalism and Application to Azulene
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作者 Jia-jun Ren Yuan-heng Wang +2 位作者 Wei-tang Li Tong Jiang Zhi-gang Shuai 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2021年第5期565-582,I0002,I0003,共20页
We propose a method for calculating the nonradiative decay rates for polyatomic molecules including anharmonic effects of the potential energy surface(PES)in the Franck-Condon region.The method combines the n-mode rep... We propose a method for calculating the nonradiative decay rates for polyatomic molecules including anharmonic effects of the potential energy surface(PES)in the Franck-Condon region.The method combines the n-mode repre-sentation method to construct the ab initio PES and the nearly exact time-dependent density matrix renormalization group method(TD-DMRG)to simulate quantum dynamics.In addition,in the framework of TD-DMRG,we further develop an algorithm to calculate the final-state-resolved rate coefficient which is very useful to analyze the contribution from each vibrational mode to the transition process.We use this method to study the internal conversion(IC)process of azulene after taking into account the anharmonicity of the ground state PES.The results show that even for this semi-rigid molecule,the intramode anharmonicity enhances the IC rate significantly,and after considering the two-mode coupling effect,the rate increases even further.The reason is that the anharmonicity enables the C-H vibrations to receive electronic energy while C-H vibrations do not contribute on the harmonic PES as the Huang-Rhys factor is close to 0. 展开更多
关键词 Time-dependent density matrix renormalization group method Nonradiative decay rate Quantum dynamics Matrix product state
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