Yuning Zheng, Yifan Wang, Jiandong Huang, Zhiyong Tan
{"title":"复合波纹板在超音速流动中的飘动稳定性分析","authors":"Yuning Zheng, Yifan Wang, Jiandong Huang, Zhiyong Tan","doi":"10.1007/s00419-024-02568-8","DOIUrl":null,"url":null,"abstract":"<p>Composite corrugated plates have a great potential in the application to morphing wings. However, it takes high computational cost to conduct flutter analysis with detailed 3D finite element models due to its structural complexity. In this study, an analytical method is proposed for flutter stability analysis of composite corrugated plates in supersonic flow. The trapezoidal and sinusoidal composite corrugated plate is homogenized as an equivalent anisotropic plate based on an energy approach. The flutter model for the composite corrugated plate is derived based on Kirchhoff plate theory and the equivalent stiffness properties. The unsteady aerodynamic pressure is evaluated by using the supersonic piston theory in which the corrugated section is taken into account. Hamilton's principle with the assumed mode method is applied to formulate the aeroelastic equation of the composite corrugated plate. The eigenvalue criterion is utilized to reveal the flutter mechanism and evaluate the stability of composite corrugated plates in supersonic flow. The accuracy and reliability of the present method are verified by comparing aeroelastic responses with those obtained from commercial software. Parametric studies concerning different parametric variables are also conducted. It is shown that the proposed method has sufficient accuracy and requires less computational effort, providing a theoretical basis for the utilization of trapezoidal and sinusoidal composite corrugated plates in morphing wings.</p>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Flutter stability analysis of composite corrugated plates in supersonic flow\",\"authors\":\"Yuning Zheng, Yifan Wang, Jiandong Huang, Zhiyong Tan\",\"doi\":\"10.1007/s00419-024-02568-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Composite corrugated plates have a great potential in the application to morphing wings. However, it takes high computational cost to conduct flutter analysis with detailed 3D finite element models due to its structural complexity. In this study, an analytical method is proposed for flutter stability analysis of composite corrugated plates in supersonic flow. The trapezoidal and sinusoidal composite corrugated plate is homogenized as an equivalent anisotropic plate based on an energy approach. The flutter model for the composite corrugated plate is derived based on Kirchhoff plate theory and the equivalent stiffness properties. The unsteady aerodynamic pressure is evaluated by using the supersonic piston theory in which the corrugated section is taken into account. Hamilton's principle with the assumed mode method is applied to formulate the aeroelastic equation of the composite corrugated plate. The eigenvalue criterion is utilized to reveal the flutter mechanism and evaluate the stability of composite corrugated plates in supersonic flow. The accuracy and reliability of the present method are verified by comparing aeroelastic responses with those obtained from commercial software. Parametric studies concerning different parametric variables are also conducted. It is shown that the proposed method has sufficient accuracy and requires less computational effort, providing a theoretical basis for the utilization of trapezoidal and sinusoidal composite corrugated plates in morphing wings.</p>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-03-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive of Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s00419-024-02568-8\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00419-024-02568-8","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Flutter stability analysis of composite corrugated plates in supersonic flow
Composite corrugated plates have a great potential in the application to morphing wings. However, it takes high computational cost to conduct flutter analysis with detailed 3D finite element models due to its structural complexity. In this study, an analytical method is proposed for flutter stability analysis of composite corrugated plates in supersonic flow. The trapezoidal and sinusoidal composite corrugated plate is homogenized as an equivalent anisotropic plate based on an energy approach. The flutter model for the composite corrugated plate is derived based on Kirchhoff plate theory and the equivalent stiffness properties. The unsteady aerodynamic pressure is evaluated by using the supersonic piston theory in which the corrugated section is taken into account. Hamilton's principle with the assumed mode method is applied to formulate the aeroelastic equation of the composite corrugated plate. The eigenvalue criterion is utilized to reveal the flutter mechanism and evaluate the stability of composite corrugated plates in supersonic flow. The accuracy and reliability of the present method are verified by comparing aeroelastic responses with those obtained from commercial software. Parametric studies concerning different parametric variables are also conducted. It is shown that the proposed method has sufficient accuracy and requires less computational effort, providing a theoretical basis for the utilization of trapezoidal and sinusoidal composite corrugated plates in morphing wings.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.