三维弹性体夹芯的夹芯板振动计算方法研究  

Vibration calculation method for sandwich panels with three-dimensional elastomer core

作　　者：张彤彤[1] 王纬波[1] 刘媛慧 吴健[1] 吴文伟[1] ZHANG Tong-tong;WANG Wei-bo;LIU Yuan-hui;WU Jian;WU Wen-wei(National Key Laboratory on Ship Vibration&Noise,China Ship Scientific Research Center,Wuxi 214082,China)

机构地区：[1]中国船舶科学研究中心船舶振动噪声重点实验室,江苏无锡214082

出　　处：《船舶力学》2024年第6期925-941,共17页Journal of Ship Mechanics

基　　金：国家重点研发计划资助项目(2022YFB3306200)。

摘　　要：目前夹芯结构由于其轻质、减振、隔声等优良性能,已在隔声壁板、减振结构设计等领域得到广泛的应用。夹芯板在低频振动中通常易于表现为弯曲振动模式,但夹芯板面板材料和芯材材料的性能往往差别较大,在中高频段易产生较为丰富的振动模式,因此建立一种适用于各个频段的夹芯板振动理论预报方法是十分必要的。本文发展了一种新的夹芯板振动理论计算方法,对夹芯板的芯材应用三维弹性力学理论,面板应用薄板理论。本文建立的理论方法可综合体现夹芯板弯曲变形模式和膨胀变形模式,容许夹芯板产生法向形变,可显著提高中高频夹芯板的振动预报计算精度。通过算例将本文理论方法的计算结果与其它理论计算方法和有限元计算的结果进行了对比,证明了本文理论方法的有效性和优势。Sandwich structures have been widely used in fields of sound insulation panels and vibration re-duction structure design due to their lightweight,excellent performance in vibration reduction and sound in-sulation.Usually,sandwich panels in vibration tend to exhibit bending vibration modes in the low frequency band.However,the properties of sandwich skin materials and core materials often differ significantly,result-ing in rich vibration modes in the midium and high frequency bands.Therefore,it is necessary to establish a theoretical prediction method for sandwich panel vibration applicable to various frequency bands.In this pa-per,a new theoretical calculation method for sandwich panel vibration was developed,in which three-dimen-sional elastic mechanics theory was applied to core material of sandwich panel while thin plate theory was ap-plied to skin material.The theoretical method presented in this paper can reflect the bending deformation mode and dilatational deformation mode of sandwich panels,and allow for normal deformation of sandwich panels.As a result,the method can significantly improve the accuracy of vibration prediction calculation for medium and high frequency bands.Comparison of the calculation results of the theoretical method in this pa-per with those of other theoretical calculation methods and finite element method by an example proved the effectiveness and advantages of the theoretical method in this paper.

关 键 词：夹芯板 振动 弹性力学 

分 类 号：TB532[理学—物理]