摘要
针对加筋板等工程周期结构在使用工况中的减振需求,提出一种利用结构中禁带特性进行减振的设计方法。禁带是指周期结构内一段弹性波无法传播的频带,通过设计周期结构,使之在特定频带内产生禁带,就可以对结构中的弹性波实施调控。基于此学术思想,建立了基于禁带特性的加强筋设计方法,解决了包括基于禁带特性的减振性能评估、禁带选取、多维参数空间的稀疏采样在内的关键技术。随后以正交加筋板为例,设计了筋条的高度和宽度,实现带宽为500Hz的禁带。基于强迫响应分析,得出了不同边界条件、材料失谐等实际因素对周期结构减振性能影响较小的结论。同时还基于结构柔顺度对加筋板进行了静力学分析和校核,发现利用该方法设计的加筋板也具有较高的静刚度,满足工程要求。
Aiming at the vibration reduction requirements of engineering periodic structures such as stiffened plates in service conditions,a design method for vibration control using the band gap characteristics in the periodic structure is proposed.Band gap refers to a frequency band where elastic waves in a periodic structure cannot propagate.By constructing the periodic structure,a band gap can be created in a specific frequency band.Hence,the elastic waves can be controlled,so as to achieve the purpose of vibration control.Based on this academic idea,a design method for periodic structure based on the band gap is established,which solves the key technologies including the evaluation of the performance for vibration control based on the band gaps,the selection of the band gaps,and the sparse sampling of the multi-dimensional parameter space.Then,taking the orthogonal stiffened plate as an example,the height and thickness of the ribs are designed to achieve a band gap with a bandwidth of 500Hz.The forced response analysis shows that boundary conditions and material mistuning have little influences on the performance of vibration reduction.Moreover,based on the structural compliance,the static analysis has been employed to check the static performance of stiffened plate.It is found that the designed stiffened plate also has higher static stiffness,which meets the engineering requirements.
作者
姜周
范雨
李琳
石佳慧
JIANG Zhou;FAN Yu;LI Lin;SHI Jiahui(Beijing Institute of Aerospace Systems Engineering,Beijing 100076,China;School of Energy and Power Engineering,Beihang University,Beijing 100083,China;Beijing Key Laboratory of Aero-engine Structure and Strength,Beihang University,Beijing 100083,China)
出处
《航空学报》
EI
CAS
CSCD
北大核心
2022年第9期413-427,共15页
Acta Aeronautica et Astronautica Sinica
基金
国家科技重大专项(2017-IV-0002-0039,J2019-IV-0023-0091)
航空科学基金(2019ZB051002)
先进航空动力创新工作站(HKCX2020-02-013,HKCX2020-02-016)。
关键词
周期结构
禁带
加筋板设计
减振
反问题
periodic structure
band gap
design of stiffened plate
vibration reduction
inverse problem
