Finite Element Modeling of Eigenvibrations of a Square Plate with an Attached Oscillator
IF 0.5
Q3 MATHEMATICS
引用次数: 0
Abstract
A new symmetric linear variational statement is proposed for the problem of eigenvibrations of a plate with an attached oscillator. The existence of the sequence of positive eigenvalues of finite multiplicity with the limit point at infinity and the corresponding complete orthonormal system of eigenvectors is established. A new symmetric scheme of the finite element method with Hermite finite elements is stated. Error estimates consistent with the solution smoothness for the approximate eigenvalues and approximate eigenvectors are proved. The results of numerical experiments illustrating the influence of the smoothness of the solution on the computation accuracy are presented.
附带振子的方形板特征振动的有限元建模
摘要 针对附带振子的板的特征振动问题，提出了一种新的对称线性变分法。建立了极限点位于无穷大的有限倍率正特征值序列和相应的完整正交特征向量系统。阐述了使用 Hermite 有限元的有限元方法的新对称方案。证明了与近似特征值和近似特征向量的解平滑性一致的误差估计。数值实验结果说明了解的平滑度对计算精度的影响。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
求助全文
约1分钟内获得全文
求助全文
来源期刊
Russian Mathematics
MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍：
Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
