Effects of the concentrated mass and elastic support on dynamic and flutter behaviors of panel structures

IF 2.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL International Journal of Mechanics and Materials in Design Pub Date : 2023-09-28 DOI:10.1007/s10999-023-09680-7
Kai Zhou
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Abstract

To research impacts of mass points and elastic supports on dynamic and aeroelastic properties of plate structures, a unified dynamic model concerning the plate structures with concentrated mass point or elastic support subjected to supersonic airflow is established in this paper. The energy approach is utilized to deduce energy functions of the dynamic system, and the nonlinear dynamic equations are further formulated based on the variational principle. Furthermore, several numerical calculations are implemented to validate the proposed formulations, and satisfactory agreements are exhibited between the calculated vibration and flutter solutions and data from the software and literature. Subsequently, impacts of the mass point and elastic support on vibration and flutter properties of panel structures are also presented and the detailed mechanisms are explained. It can be found that aeroelastic stability properties of panel structures are significantly raised with the location of the concentrated mass point or elastic support placed reasonably. This study provides a simple method for the flutter suppression of plates, which can be used in the mechanical design of these plate structures for the better dynamic performances.

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集中质量和弹性支撑对板式结构动态和扑动行为的影响
为了研究质量点和弹性支撑对板结构的动力和气动弹性特性的影响,本文建立了一个关于超音速气流作用下具有集中质量点或弹性支撑的板结构的统一动力学模型。利用能量法推导出动力系统的能量函数,并根据变分原理进一步制定了非线性动力方程。此外,本文还进行了多次数值计算以验证所提出的公式,计算得出的振动和扑动解决方案与软件和文献数据之间的一致性令人满意。随后,还介绍了质量点和弹性支撑对面板结构振动和扑动特性的影响,并解释了详细的机理。研究发现,随着集中质量点或弹性支撑位置的合理设置,板式结构的气弹稳定性能会显著提高。本研究提供了一种抑制板材飘动的简单方法,可用于这些板材结构的机械设计,以获得更好的动态性能。
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来源期刊
International Journal of Mechanics and Materials in Design
International Journal of Mechanics and Materials in Design ENGINEERING, MECHANICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY
CiteScore
6.00
自引率
5.40%
发文量
41
审稿时长
>12 weeks
期刊介绍: It is the objective of this journal to provide an effective medium for the dissemination of recent advances and original works in mechanics and materials'' engineering and their impact on the design process in an integrated, highly focused and coherent format. The goal is to enable mechanical, aeronautical, civil, automotive, biomedical, chemical and nuclear engineers, researchers and scientists to keep abreast of recent developments and exchange ideas on a number of topics relating to the use of mechanics and materials in design. Analytical synopsis of contents: The following non-exhaustive list is considered to be within the scope of the International Journal of Mechanics and Materials in Design: Intelligent Design: Nano-engineering and Nano-science in Design; Smart Materials and Adaptive Structures in Design; Mechanism(s) Design; Design against Failure; Design for Manufacturing; Design of Ultralight Structures; Design for a Clean Environment; Impact and Crashworthiness; Microelectronic Packaging Systems. Advanced Materials in Design: Newly Engineered Materials; Smart Materials and Adaptive Structures; Micromechanical Modelling of Composites; Damage Characterisation of Advanced/Traditional Materials; Alternative Use of Traditional Materials in Design; Functionally Graded Materials; Failure Analysis: Fatigue and Fracture; Multiscale Modelling Concepts and Methodology; Interfaces, interfacial properties and characterisation. Design Analysis and Optimisation: Shape and Topology Optimisation; Structural Optimisation; Optimisation Algorithms in Design; Nonlinear Mechanics in Design; Novel Numerical Tools in Design; Geometric Modelling and CAD Tools in Design; FEM, BEM and Hybrid Methods; Integrated Computer Aided Design; Computational Failure Analysis; Coupled Thermo-Electro-Mechanical Designs.
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