刚性边界对矩形板在静水中的频率影响
Frequency Analysis of Rectangular Plates Coupled with Fluid Bounded by Rigid Wall
研究了矩形板在有刚性边界静水中的固有频率。壁板的流固耦合振动在航空、核电和海洋等领域被广泛研究。通过经典薄板弯曲理论建立壁板的数学模型。流体作用于壁板上的压力通过势流理论和伯努利方程得到, 流体压力体现在附加质量项。用有限元法对流固耦合方程进行离散得到质量阵和刚度阵,通过特征值求解得到壁板在静水中的固有频率。分析结果和试验值以及其他方法分析结果能很好的吻合.
he natural frequency of rectangular plates coupled with fluid is studied in this paper. This case has been extensively studied in industries such as aerospace, nuclear and naval. The mathematical model for plate is determined by classical plate bending theory. The velocity potential and Bernoulli's equation are adopted to express the fluid pressure acting on the plate, fluid pressure is reflected in the added mass term. The mass and stiffness matrices of fluid-structure interaction equation are then determined by finite element method, nature frequencies obtained by eigenvalue. The results are in close agreement with both experimental results and theoretical results using other analytical approaches.?????
杨翊仁、董宇、鲁丽
航空核反应堆工程水工结构
振动有限元流固耦合矩形板
vibrationfinite elementfluid-structure interactionrectangular plates
杨翊仁,董宇,鲁丽.刚性边界对矩形板在静水中的频率影响[EB/OL].(2014-07-31)[2025-08-19].http://www.paper.edu.cn/releasepaper/content/201407-368.点此复制
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