| 材料和几何非线性粘弹性柱的动力学模型及其简化 |
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| 引用本文： | 陈立群.材料和几何非线性粘弹性柱的动力学模型及其简化[J].商丘师范学院学报,2000,16(6):21-24. |
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| 作者姓名： | 陈立群 |
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| 作者单位： | 上海大学力学系,上海 |
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| 基金项目： | 国家自然科学基金项目!(19727027)，上海市科技发展基金项目!(98SHB1417,98JC14032) |
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| 摘 要： | 建立了描述具有几何和物理非线性均匀柱动力学行为的偏微分－积分方程，柱的材料满足Ｌｅａｄｄｅｒ－ｍａｎ非线性本构关系，对两端简支的情形，采用Ｇａｌｅｒｋｉｎ方法简化为常微分一积分方程；然后通过引进附加变量的方法进一步简化为常微分方程。
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| 关 键 词： | 粘弹性柱 几何非线性 本构关系 动力学模型 |
A dynamical model viscoelastic columns with material and geometric nonlinearities and its simplification |
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| CHEN Li,qun.A dynamical model viscoelastic columns with material and geometric nonlinearities and its simplification[J].Journal of Shangqiu Teachers College,2000,16(6):21-24. |
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| Authors: | CHEN Li qun |
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| Abstract: | The integro partial differential equation that governs the dynamical behavior of homogeneous viscoelastic columns with material and geometric nonlinearities is established The material of the columns obeys the Leaderman nonlinear constitutive relation.In the case of two simple supported ends,the Galerkin method is applied to simplify the equation to a integro differential equation.The equation is further simplified to a set of differential equations by introducing an additional variable. |
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| Keywords: | viscoelastic column geometric nonlinearities Leaderman constitutive relation Galerkin method |
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