云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(10772147)

国家自然科学基金(10772147): 作品数：15被引量：46H指数：4; 导出分析报告; 相关作者：邓子辰胡伟鹏黄永安李文成王艳更多>>; 相关机构：西北工业大学大连理工大学华中科技大学更多>>; 相关期刊：《力学进展》《振动与冲击》《Science China(Physics,Mechanics & Astronomy)》《Chinese Physics B》更多>>; 相关主题：MULTI-SYMPLECTIC多辛算法数值模拟多体动力学METHOD更多>>; 相关领域：理学建筑科学自动化与计算机技术航空宇航科学技术更多>>

Symplectic analysis for wave propagation in one-dimensional nonlinear periodic structures被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2010年第11期1371-1382,共12页侯秀慧邓子辰周加喜; Project supported by the National Natural Science Foundation of China (Nos. 10972182,10772147,and 10632030);the National Basic Research Program of China (No. 2006CB 601202);the National 111 Project of China (No. B07050);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (No. GZ0802);the Doctoral Foundation of Northwestern Polytechnical University (No. CX200908);the China Postdoctoral Science Foundation (No. 20090450170);the Northwestern Polytechnical University Foundation for Fundamental Research (No. JC200938); The wave propagation problem in the nonlinear periodic mass-spring structure chain is analyzed using the symplectic mathematical method. The energy method is used to construct the dynamic equation, and the nonlinear d...; 关键词：symplectic mathematical method nonlinear periodic structure elastic wave propagation

Symplectic analysis for elastic wave propagation in two-dimensional cellular structures被引量：5: 《Acta Mechanica Sinica》2010年第5期711-720,共10页Xiu-Hui Hou Zi-Chen Deng Jia-Xi Zhou Tie-Quan Liu; supported by the National Natural Science Foundation of China (10972182, 10772147, 10632030);the National Basic Research Program of China (2006CB 601202);the Doctorate Foundation of Northwestern Polytechnical University (CX200908);the Graduate Starting Seed Fund of Northwestern Polytechnical University (Z200930);the NPU Foundation for Fundamental Research;the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (GZ0802); On the basis of the finite element analysis, the elastic wave propagation in cellular structures is investigated using the symplectic algorithm. The variation principle is first applied to obtain the dual variables an...; 关键词：Cellular structures Symplectic analysis Dispersion relation - Phase constant surface Sound insulation

多体动力学的几何积分方法研究进展被引量：9: 《力学进展》2009年第1期44-57,共14页黄永安尹周平邓子辰熊有伦; 国家自然科学基金(50705035，10772147);国家重点基础研究发展计划(973)(2007CB714000);中国博士后科学基金(20070410276)资助项目~~; 动力系统的几何积分研究是近20年来工程计算领域非常活跃的方向.多体动力学方程(微分方程,微分代数方程)是一类典型的动力系统,将其从Lagrange体系向Hamilton系统过渡,目的在于从欧氏几何过渡到辛几何形态,将对偶变量引入到力学研究中,...; 关键词：多体动力学几何积分辛算法 LIE群微分流形

The complex multi-symplectic scheme for the generalized sinh-Gordon equation被引量：2: 《Science China(Physics,Mechanics & Astronomy)》2009年第10期1618-1623,共6页HU WeiPeng DENG ZiChen HAN SongMei FAN Wei; Supported by the National Natural Science Foundation of China (Grant Nos.10572119,10772147,and 10632030);the Doctoral Program Foundation of Education Ministry of China (Grant No.20070699028);the China Postdoctoral Science Foundation (Grant No. 20090450170);the National Natural Science Foundation of Shaanxi Province of China (Grant No.2006A07);the NPU Foundation for Fundamental Research and the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (Grant No.GZ0802); In this paper,the complex multi-symplectic method and the implementation of the generalized sinhGordon equation are investigated in detail.The multi-symplectic formulations of the generalized sinh-Gordon equation in H...; 关键词：GENERALIZED sinh-Gordon EQUATION MULTI-SYMPLECTIC COMPLEX method RUNGE-KUTTA methods

Ⅱ类超导体混合态的多辛算法被引量：2: 《中国科学（G辑）》2008年第10期1312-1321,共10页胡伟鹏邓子辰; 国家自然科学基金(批准号:10572119,10772147和10632030);高校博士点基金(编号:20070699028);陕西省自然科学基金(编号:2006A07);西北工业大学基础研究基金;大连理工大学工业装备结构分析国家重点实验室开放基金资助项目; 利用多辛方法研究了两带Ⅱ类超导体混合态的电磁特性.针对描述两带Ⅱ类超导体混合态的依赖于时间的Ginzburg-Landau方程,首先推导出了其满足多个守恒律(多辛守恒律、局部能量守恒律和局部动量守恒律)的一阶多辛偏微分方程组形式;随后构...; 关键词：两带Ginzburg—Landau方程混合态多辛守恒律

广义Benjamin-Bona-Mahoney方程的多辛算法: 《西北工业大学学报》2008年第6期689-692,共4页胡伟鹏邓子辰; 国家自然科学基金(10572119、10772147和10632030);高校博士点基金(20070699028);西北工业大学基础研究基金;大连理工大学工业装备结构分析国家重点实验室开放基金资助; 文章基于Bridges意义下的多辛理论构造了广义Benjamin-Bona-Mahoney方程的多辛偏微分方程组,利用变分原理得到了多种守恒律,构造了一种等价于Preissmann格式的隐式多辛格式。钟状孤波解的数值模拟结果表明该多辛格式具有较好的长时间数...; 关键词：数值模拟广义Benjamin—Bona—Mahoney方程多辛算法钟状孤波解

Multi-symplectic method to analyze the mixed state of Ⅱ-superconductors被引量：4: 《Science China(Physics,Mechanics & Astronomy)》2008年第12期1835-1844,共10页HU WeiPeng1↑ & DENG ZiChen1,2 1 School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, China 2 State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China; the National Natural Science Foundation of China (Grant Nos. 10572119, 10772147 and 10632030);the Doctoral Program Founda-tion of Education Ministry of China (Grant No. 20070699028);the Natural Science Foundation of Shaanxi Province of China (Grant No. 2006A07);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment; The mixed state of two-band II-superconductor is analyzed by the multi-symplectic method. As to the Ginzburg-Landau equation depending on time that describes the mixed state of two-band II-superconductor, the multi-sy...; 关键词：two-band GINZBURG-LANDAU equation mixed state MULTI-SYMPLECTIC CONSERVATION LAW

Multi-symplectic method for generalized fifth-order KdV equation被引量：6: 《Chinese Physics B》2008年第11期3923-3929,共7页胡伟鹏邓子辰; Project supported by the National Natural Science Foundation of China (Grant Nos 10572119, 10772147 and 10632030);the Doctoral Program Foundation of Education Ministry of China (Grant No 20070699028);the National Natural Science Foundation of Shaanxi Province of China (Grant No 2006A07);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment; This paper considers the multi-symplectic formulations of the generalized fifth-order KdV equation in Hamiltonian space. Recurring to the midpoint rule, it presents an implicit multi-symplectic scheme with discrete mu...; 关键词：generalized fifth-order KdV equation MULTI-SYMPLECTIC travelling wave solution conservation law

旋转刚-柔耦合系统动力学及热冲击响应分析被引量：2: 《机械科学与技术》2008年第10期1236-1241,共6页魏麟欢黄永安邓子辰; 国家自然科学基金项目(10772147,10572119,10632030);高校博士点基金项目(20070699028);陕西省自然科学基金项目(2006A07);大连理工大学工业装备结构分析国家重点实验室开放基金项目资助; 利用FOAC模型理论,给出了大范围运动的大变形变截面柔性梁的位移描述,继而得到系统的机械能的高阶表述,然后基于广义Hamilton原理得到系统的动力学模型。系统模型考虑了柔性梁在不同方向的相互耦合影响,使得系统能够对较高速度的旋转刚...; 关键词：多体动力学刚-柔耦合 HAMILTON原理有限元热-弹耦合

广义KdV-mKdV方程的多辛算法及孤波解数值模拟: 《西北工业大学学报》2008年第4期450-453,共4页胡伟鹏邓子辰李文成; 国家自然科学基金(10572119、10772147和10632030);高校博士点基金(20070699028);陕西省自然科学基金(2006A07);西北工业大学基础研究及大连理工大学工业装备结构分析国家重点实验室开放基金资助; 基于Hamilton空间体系的多辛理论研究了广义KdV-mKdV方程。导出了广义KdV-mKdV方程Bridges意义下的多辛形式及其多种守恒律,并构造了相应的Preissmann多辛离散格式及其等价形式。孤波解数值模拟的结果表明:文中构造的多辛格式是有效的,...; 关键词：数值模拟广义KdV—mKdV方程多辛积分 PREISSMANN格式孤波解

高级检索 检索式检索

时间限定

期刊范围

学科限定全选

高级检索 检索式检索

时间限定

期刊范围

学科限定全选

国家自然科学基金(10772147)

检索结果分析

下载全文

高级检索检索式检索

时间限定

期刊范围

学科限定全选

高级检索 检索式检索

时间限定

期刊范围

学科限定全选

国家自然科学基金(10772147)

检索结果分析

下载全文

用户登录

高级检索检索式检索