| 非线性粘弹性大挠度梁的动力学模型及其简化 |
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| 引用本文： | 陈立群,程昌钧.非线性粘弹性大挠度梁的动力学模型及其简化[J].上海力学,1999,20(3):302-305. |
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| 作者姓名： | 陈立群 程昌钧 |
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| 作者单位： | [1]上海市应用数学和力学研究所 [2]上海市应用数学和力学研究所,上海大学力学系 |
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| 基金项目： | 国家自然科学基金19727027，中国博士后科学基金项目，上海市科技发展基金98SHB1417和98JC14032 |
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| 摘 要： | 本文建立了描述几何非线性均匀梁动力学行为的偏微分－－积分方程，梁的材料满足Ｌｅａｄｅｍａｎ非线性本构关系，对于两端简支的情形用Ｇａｌｅｒｋｉｎ方法进行了截断简化为常微分－－积分方程，然后引进附加变量的方法进一步简化为常微分方程组。
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| 关 键 词： | 粘弹性梁 运动微分方程 几何非线性 动力学模型 |
A DYNAMICAL MODEL FOR NONLINEAR LARGE-DEFLECTION VISCOELASTIC BEAMS AND ITS SIMPLIFICATION |
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| Chen Liqun Cheng Changjun Zhang Nenghui.A DYNAMICAL MODEL FOR NONLINEAR LARGE-DEFLECTION VISCOELASTIC BEAMS AND ITS SIMPLIFICATION[J].Chinese Quarterly Mechanics,1999,20(3):302-305. |
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| Authors: | Chen Liqun Cheng Changjun Zhang Nenghui |
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| Abstract: | The integral-partial differential equation that governs the dynamical behavior of homogeneous viscoelastic beams with geometric nonlinearities is established. The material of the beams obeys the Leaderman nonlinear constitutive relation. In the case of two simple supported ends, the Galerkin method is appkiced to simplify the equation to an integro-differential equation by truncated procedure. The equation is further simplified to a set of differential equations by introducing an additional variable. |
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| Keywords: | viscoelastic beam differential equation of motion geometric nonlinearities Leaderman relation Galerkin method |
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