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用无网格局部Petrov—Galerkin法分析铁木辛哥梁
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作者 胡玮军 《邵阳学院学报(自然科学版)》 2010年第1期14-17,共4页
本文利用无网格局部Petrov—Galerkin法,研究了铁木辛哥梁.采用移动最小二乘形函数对铁木辛哥梁中的挠度和转角分别单独插值,当基函数中多项式取较高阶次时,可以容易消除剪切自锁现象.结果表明,该方法收敛快,精度高,简便有效,其原理同... 本文利用无网格局部Petrov—Galerkin法,研究了铁木辛哥梁.采用移动最小二乘形函数对铁木辛哥梁中的挠度和转角分别单独插值,当基函数中多项式取较高阶次时,可以容易消除剪切自锁现象.结果表明,该方法收敛快,精度高,简便有效,其原理同样适用于中厚板的弯曲问题. 展开更多
关键词 局部Petrov--Galerkin法 铁木辛哥梁 剪切自锁
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Timoshenko梁组合动力系统的精确的传递矩阵法 被引量:1
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作者 李俊 金咸定 《振动与冲击》 EI CSCD 1998年第4期23-25,共3页
本文把分布质量模型的传递矩阵法和集中质量模型的传递矩阵法有机地结合起来,并将精确的传递矩阵法应用于求解包含任何支承单元、悬挂单元和Timoshenko梁单元的组合动力系统的固有特性。数值结果表明本文方法在一定范围内是完全精确的,... 本文把分布质量模型的传递矩阵法和集中质量模型的传递矩阵法有机地结合起来,并将精确的传递矩阵法应用于求解包含任何支承单元、悬挂单元和Timoshenko梁单元的组合动力系统的固有特性。数值结果表明本文方法在一定范围内是完全精确的,而且编程简单。 展开更多
关键词 组合动力系统 传递矩阵法 铁木辛哥梁
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防护结构设计中应变速率效应问题 被引量:14
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作者 方秦 钱七虎 《爆炸与冲击》 EI CAS CSCD 北大核心 1997年第2期104-110,共7页
在防护结构设计中,通常是采用材料的动力强度和动力弹性模量以考虑应变速率效应问题。应用所提出的应变速率相关材料模型,对核武器及常规武器爆炸作用下的钢结构和钢筋混凝土结构进行速率相关分析,并与考虑材料强度提高的速率无关分... 在防护结构设计中,通常是采用材料的动力强度和动力弹性模量以考虑应变速率效应问题。应用所提出的应变速率相关材料模型,对核武器及常规武器爆炸作用下的钢结构和钢筋混凝土结构进行速率相关分析,并与考虑材料强度提高的速率无关分析对比。两种分析结果表明,对于钢结构,两种计算结果相差不大;而对于钢筋混凝土结构.两种计算结果相差较大,而且目前防护结构设计方法偏于保守。 展开更多
关键词 应变速率效应 防护结构 爆炸波 铁木辛哥梁
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Dynamic Analysis of Structural Columns Subjected to Impulsive Loading 被引量:1
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作者 GONG Shunfeng LU Yong +1 位作者 GAO Feng JIN Weiliang 《Transactions of Tianjin University》 EI CAS 2006年第B09期248-253,共6页
For a building structure subjected to impulsive loading, particularly shock and impact loading , the response of the critical columns is crucial to the behaviour of the entire system during and after the blast loading... For a building structure subjected to impulsive loading, particularly shock and impact loading , the response of the critical columns is crucial to the behaviour of the entire system during and after the blast loading phase. Therefore, an appropriate evaluation of the column response and damage under short-duration impulsive loading is important in a comprehensive assessment of the performance of a building system. This paper reports a dynamic analysis approach for the response of RC columns subjected to impulsive loading. Considering that the dynamic response of a column in a frame structure can also be affected by the floor movement which relates to the global vibration of the frame system, a generic column-mass model is used, in which a concentrated mass is attached to the column top to simulate the effect of a global vibration. To take into account the high shear effect under impulsive load, the model is formulated using Timoshenko beam theory, and three main nonlinear mechanisms are considered. Two typical scenarios, one under a direct air blast loading, and another under a blast-induced ground excitation, are analyzed and the primary response features are highlighted. 展开更多
关键词 impulsive load RC column dynamic response Timoshenko beam nonlinear analysis
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Nonlinear free transverse vibrations of axially moving Timoshenko beams with two free ends 被引量:6
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作者 LI Biao TANG YouQi CHEN LiQun 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第8期1966-1976,共11页
In this paper, nonlinear transverse vibrations of axially moving Timoshenko beams with two free ends are investigated. The governing equations and the associated boundary conditions are derived by the extended Hamilto... In this paper, nonlinear transverse vibrations of axially moving Timoshenko beams with two free ends are investigated. The governing equations and the associated boundary conditions are derived by the extended Hamilton principle. The method of multiple scales is applied to analyze the nonlinear partial differential equation. The natural frequencies and modes are investigated by performing the complex mode approach. The effect of natural frequencies with the stiffness and the axial speeds are numerically demonstrated. The solvability conditions are established for the cases of without and with 3:1 internal resonances. The relationships between the nonlinear frequencies and the initial amplitudes at different axial speeds and the nonlinear coefficients are showed for the case of without internal resonances. The effects of the related coefficients are demonstrated for the case of 3:1 internal resonances. 展开更多
关键词 nonlinear transverse vibration Timoshenko beam complex mode approach method of multiple scales internal resonances
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