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任意支承矩形板的受迫振动
引用本文:甄芳. 任意支承矩形板的受迫振动[J]. 北方工业大学学报, 1998, 10(1): 20-24
作者姓名:甄芳
作者单位:北方工业大学建筑学院!100041北京石景山
摘    要:在有限条一迁移子结构法的基础上,引入了Riccati变换,提出了有限条一Riccati迁移子结构法。计算任意支承矩形弹性薄板在任意激励下的动力响应。把迁移子结构法的峡谷点边值问题转化成两个一点初值问题,克服了有限条一迁移子结构法可能出现的数值不稳定的缺陷,有效的节省了计算机内存,提高了计算精度和计算效率。

关 键 词:子结构 迁移矩阵法 动力响应 弹性薄板 受迫振动

Forced Vibration Response of Elastic Rectangular Thin Plates under Complex Support Condition
Zhen Fang. Forced Vibration Response of Elastic Rectangular Thin Plates under Complex Support Condition[J]. Journal of North China University of Technology, 1998, 10(1): 20-24
Authors:Zhen Fang
Abstract:In this paper, on the basis of finite strip-transfer substructure method with Riccati transformation, the finite strip-Riccati transfer substructure method is established for calculating forced vibration response of elastic rectangular thin plates. By this method one two-point boundary problem of finite strip-transfer substructure method is converted into two one-point initial values problem. Thus, it not only solves the problem of numerical instability characteristic of the finite strip-transfer substructure method, but saves the memory requirement and computational time of the computer.Meanwhile, the calculating accuracy and efficiency are also improved.
Keywords:substructure  transfer matrix method  finite strip method  dynamic response
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