| 随从力作用下热弹耦合轴向运动梁的稳定性 |
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| 引用本文： | 郭旭侠,王忠民. 随从力作用下热弹耦合轴向运动梁的稳定性[J]. 爆炸与冲击, 2010, 30(6): 614-621. DOI: 10.11883/1001-1455(2010)06-0614-08 |
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| 作者姓名： | 郭旭侠 王忠民 |
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| 作者单位： | 1.西安理工大学理学院,陕西西安710054; |
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| 基金项目： | 国家自然科学基金项目(10872163); 陕西省教育厅科学研究计划项目(08JK394); 宝鸡文理学院重点项目(ZK09147)~~ |
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| 摘 要： | 研究了切向均布随从力作用下热弹耦合轴向运动梁的稳定性问题。建立了热弹耦合轴向运动梁在随从力作用下的运动微分方程,采用归一化幂级数法,推导出了2种边界条件下热弹耦合轴向运动梁在随从力作用下的特征方程。计算了系统的前3阶量纲一复频率,分析了量纲一运动速度、量纲一热弹耦合系数和量纲一随从力等参数对梁的稳定性的影响。
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| 关 键 词： | 固体力学 稳定性 随从力 轴向运动梁 热弹耦合 幂级数法 |
Thermoelastic coupling stability of the axially moving beam subjected to follower force |
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| GUO Xu-xia,WANG Zhong-min. Thermoelastic coupling stability of the axially moving beam subjected to follower force[J]. Explosion and Shock Waves, 2010, 30(6): 614-621. DOI: 10.11883/1001-1455(2010)06-0614-08 |
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| Authors: | GUO Xu-xia WANG Zhong-min |
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| Affiliation: | 1.SchoolofSciences,Xi’anUniversityofTechnology,Xi’an710054,Shaanxi,China;2.MechanicalandElectricalEngineeringDepartment,BaojiUniversityofArtsandSciences, |
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| Abstract: | The thermoelastic coupling stability of the axially moving beam under the action of uniformly distributed tangential follower forces was investigated.The differential equation of motion for the axially moving beam under the action of uniformly distributed tangential follower forces was established,and the eigenequation for the axially moving beam with two kinds of boundary conditions subjected to follower forces was derived by a normalized power series method.The first three orders dimensionless complex fre... |
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| Keywords: | solid mechanics stability follower force axially moving beam thermoelastic coupling power series method |
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