基于子结构模态合成法的多叶螺旋桨推进系统自由振动分析

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI:10.1016/j.apm.2024.115763

Yongqiang Li , Yu Ma

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引用次数: 0

摘要

本文首次将子结构模态合成法应用于多叶螺旋桨推进系统结构的自由振动，提出了一种耦合理论模型。基于季莫申科梁理论和明德林板理论，根据拉格朗日方程并考虑位移连续性条件，推导出结构的耦合运动方程。然后，使用子结构模态合成法和 Galerkin 法计算了结构的自由振动。通过与有限元计算结果的对比，验证了理论模型的正确性。详细讨论了转速、扇形板设置角、单位长度扭转角、数量、中心角、厚度半径比和轮毂半径比等参数对结构固有频率的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Free vibration analysis of multibladed propeller propulsion system based on substructure modal synthesis method

In this paper, a coupled theoretical model is presented for the first time by applying the substructure modal synthesis method to the free vibration of a multibladed propeller propulsion system structure. Based on Timoshenko beam theory and Mindlin plate theory, the coupled equations of motion of the structure are derived according to Lagrange's equation and considering the displacement continuity condition. Then, the free vibration of the structure was calculated using the substructure modal synthesis method and Galerkin method. The correctness of the theoretical model is verified by comparison with the finite element calculation results. The effects of parameters such as rotational speed, sector plate set-up angle, torsion angle per unit length, number, centre angle, thickness-radius ratio and hub-radius ratio on the natural frequency of the structure are discussed in detail.

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.