三参数粘弹性地基上层合板的自由和强迫振动  

Free and forced vibration of laminated plates resting on three-parameter viscoelastic foundations

作　　者：黄小林 王熙 吴伟[2] 

机构地区：[1]桂林电子科技大学建筑与交通工程学院,桂林541004 [2]桂林电子科技大学机械工程学院,桂林541004

出　　处：《应用力学学报》2017年第6期1145-1149,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11362004)

摘　　要：基于三参数粘弹性地基模型及Reddy高阶剪切变形板理论,用双重Fourier级数形式解求得粘弹性地基上四边简支对称正交及反对称斜交层合板的各模态自由振动频率的解析解,以及这两种层合板在任意横向动荷载作用下动力响应的半解析解。通过参数分析讨论了粘弹性地基参数、边厚比等因素对自振频率及动力响应的影响。结果表明,地基的剪切刚度和压缩刚度提高了板的自振频率而降低了板的振动幅值,地基的粘性作用不可忽略。Based on the model of three-parameter viscoelastic foundation and Reddy higher-order shear deformable plate theory, analytical solutions for free vibration and dynamic response of symmetrically cross-ply and anti-symmetrically angle-ply laminated plates, subjected to transverse dynamic loads, are presented by using double Fourier series. The laminated plates are assumed to be simply supported and resting on Pasternak-type elastic foundations. Effect of viscoelastic foundation parameters and side-to-thickness ratio on natural frequencies and dynamic response are studied. Results obtained indicate that the pressed and sheared rigidity of foundations increase the natural frequencies and decrease the dynamic response of laminated plates. Moreover, effect of foundational viscidity cannot be neglected.

关 键 词：粘弹性地基 复合材料层合板 自由振动 动力响应 

分 类 号：O327[理学—一般力学与力学基础]