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变厚度弹性薄板固有频率计算的有限条-Riccati迁移子结构法

Calculating the Natural Frequencies of Elastic thin Plates of Variablethickness by Finite Strip-Riccati Transfer Substructure Method

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【作者】 甄芳陈继荣

【Author】 Zhen FangNorth China Univ. of Tech. Chen JirongYansan University

【机构】 北方工业大学燕山大学

【摘要】 在通常的有限条一迁移子结构法的基础上 ,引入了Riccati变换 ,提出了有限条-Riccati迁移子结构法 ,并对变厚度弹性薄板进行动力分析 .把通常迁移子结构法的两点边值问题转化成两个一点初值问题 ,不但克服了通常有限条 -迁移子结构法可能出现的数值不稳定的缺陷 ,而且有效地节省了计算机内存 ,提高了计算精度和计算效率

【Abstract】 This paper drawes into Riccati transformation on the basis of finite strip-transfer substructure method, to estaklish the finite strip-riccati transfer substructure method, and analyzing the vibration problems of elastic thin plates which change in thickness. The paper converts one two-point boundary problems of the finite strip-transfer substructure method into two one-point initial value problems. Thus, it not only overcame the numerical instability encountering in the finite strip-transfer substructure method, but also saved the memory requirement and computational time of computer. Meanwhile, it improved the calculating accuracy and efficiency.

  • 【分类号】O326
  • 【被引频次】3
  • 【下载频次】57
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