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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
【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.
【Key words】 substructure; transfer matrix method; finite strip method; vibration characteristics.;
- 【文献出处】 东北重型机械学院学报 , 编辑部邮箱 ,1997年03期
- 【分类号】O326
- 【被引频次】3
- 【下载频次】57