| 用Galerkin─有限条法分析矩形板在非保守力作用下的稳定性 |
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| 引用本文： | 刘书田,高仁璟.用Galerkin─有限条法分析矩形板在非保守力作用下的稳定性[J].济南大学学报(自然科学版),1995(4). |
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| 作者姓名： | 刘书田 高仁璟 |
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| 作者单位： | 山东建材学院工业自动化系，大连理工大学 |
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| 摘 要： | 提出了一种求解板的颤振失稳问题的Ｇａｌｅｒｋｉｎ—有限条法。该方法利用加权残值法中的Ｇａｌｅｒｋｉｎ方法直接从定解方程出发，建立有限条模式对问题进行求解。通过对ＣＳＦＳ板的计算结果同Ｓ．Ａｄａｌｌ的结果［１］的比较，证明了Ｇａｌｅｒｋｉｎ—有限条法是解决此类问题的一种行之有效的方法。利用Ｇａｌｅｒｋｉｎ—有限条法对边界分别为ＣＳＦＳ，ＳＳＦＳ，ＣＣＦＳ，ＣＣＦＣ的４种边界条件的矩形板在面内力和切向跟随力联合作用下的稳定性进行了分析，给出了它们的稳定边界曲线，颤振失稳荷载和频率。
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| 关 键 词： | Galerkin－有限条法 颤振失稳 非保守力 |
STABILITY ANALYSIS OF RECTANGULAR PLATE SUBJECTED TO NONCONSERVATIVE FORCES USING GALERKIN-FINITE STRIP METHOD |
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| Liu Shutian, Gao Renjing.STABILITY ANALYSIS OF RECTANGULAR PLATE SUBJECTED TO NONCONSERVATIVE FORCES USING GALERKIN-FINITE STRIP METHOD[J].Journal of Jinan University(Science & Technology),1995(4). |
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| Authors: | Liu Shutian Gao Renjing |
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| Institution: | Liu Shutian; Gao Renjing(Dalian University of Technology) (Shandong Institute of Building Materials) |
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| Abstract: | The Galerkin-finite strip method which is used to solve the flutter problems of plates is proposed. By use of the Galerkin method of weighted residual methods,the finite stripmodel is developed directly from the governing equation to solve the problems. Comparing the results of this paper with those of S. Adall1], it is verified that Galerkin-finite strip method iseffective in solving this kind of problems. Four plates are considered which are subjected to inplane force and tangential following force and the edges of plates are CSFS,SSFS,CCFC and CCFS respectively. Their stability is analyzed and their stability boundaries, flutter forces and frequencies are given in this paper. |
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| Keywords: | Galerkin-finite strip method destabilization of flutter nonconservative forces |
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