聚氨酯弹性体钢夹层板结构（SPS）因其优异的力学性能和可设计性，近年来在船舶制造等领域得到广泛应用。本文通过理论与数值仿真，研究了 SPS 夹层板结构自由振动以及脱层对振动特性的影响。首先，对 SPS 夹层结构，提出一种等效模型，采用简化一阶剪切变形理论，建立了夹层板横向自由振动控制方程，并结合边界条件给出了 SPS 夹层结构的振动频率表达式。通过与文献和数值仿真结果的对比分析，验证了本模型与方法的有效性与准确性。考虑结构易脱层的特点，研究了面/芯脱层对结构振动特性的影响，对比分析脱层范围、脱层位置以及脱层形状对结构低阶频率的影响，给出了各脱层参数与结构低阶振动频率的关系，为 SPS 结构的设计与应用提供指导。
Steel-polyurethane-steel (SPS) plate has got an extensive application in engineering such as the ship building and civil bridge due to the excellent mechanical properties and designability. The present paper investigated the vibration characteristic of SPS plate and the effect of face/core delamination based on the analysis and simulation methods. Firstly, a mechanical equivalent model of SPS was proposed to reduce the governing equations of SPS vibration with a simplified first-order shear deformation theory. The analysis formula natural frequencies of SPS with simple supported boundary conditions were obtained. Then, the validity and accuracy of the present method were verified via comparison of results in literature and finite element method. Considering this kind of sandwich plate is easy to occur face/core delamination, the effects of delamination on the structure vibration characteristic were studied from the aspects of delamination areas, locations and shape. The results in present paper look forward to provide guidance for the design and application of SPS structure.
2016,38(7): 11-15,25 收稿日期：2015-10-10
DOI：10.3404/j.issn.1672-7619.2016.07.003
分类号：U661.44;O327
基金项目：国家自然科学基金青年基金资助项目（E091002/51109101）
作者简介：陈一鸣(1990-),男,硕士研究生,主要从事船舶结构力学性能研究。
参考文献：
[1] 周红, 张延昌, 岳亚霖. 夹层板系统碰撞性能数值仿真分析[J].舰船科学技术, 2014, 36(1):84-90. ZHOU Hong, ZHANG Yan-chang, YUE Ya-lin. Numerical simulation analysis for sandwich plate system under collision load[J]. Ship Science and Technology, 2014, 36(1):84-90.
[2] 王自力, 张延昌, 顾金兰. 基于夹层板抗水下爆炸舰船底部结构设计[J]. 舰船科学技术, 2010, 32(1):22-27. WANG Zi-li, ZHANG Yan-chang, GU Jin-lan. Anti-s-shock double bottom structure design of warship based on sandwich panel[J]. Ship Science and Technology, 2010, 32(1):22-27.
[3] 中国科学院北京力学研究所固体力学研究室板壳组. 夹层板壳的弯曲、稳定和振动[M]. 北京:科学出版社, 1977.
[4] LEE L J, FAN Y J. Bending and vibration analysis of composite sandwich plates[J]. Computers & Structures, 1996, 60(1):103-112.
[5] 王盛春, 邓兆祥, 沈卫东, 等. 四边简支条件下正交各向异性蜂窝夹层板的固有特性分析[J]. 振动与冲击, 2012, 31(9):73-77, 89. WANG Sheng-chun, DENG Zhao-xiang, SHEN Wei-dong, et al. Connatural characteristics analysis of rectangular orthotropic honeycomb sandwich panels with all edges simply supported[J]. Journal of Vibration and Shock, 2012, 31(9):73-77, 89.
[6] 王海英, 赵德有. 芯板横向可压缩位移模式的夹层板结构动力有限元分析[J]. 船舶力学, 2009, 13(5):795-802. WANG Hai-ying, ZHAO De-you. Finite element analysis for sandwich plates with moderately thick viscoelastic cores[J]. Journal of Ship Mechanics, 2009, 13(5):795-802.
[7] 白瑞祥, 陈浩然. 含界面脱粘及表板基体开裂损伤的复合材料夹层板非线性稳定性的研究[J]. 复合材料学报, 2002, 19(2):80-84. BAI Rui-xiang, CHEN Hao-ran. Investigation of nonlinear buckling behavior of composite sandwich plates with interfacial delamination and matrix micro-cracks[J]. Acta Materiae Compositae Sinica, 2002, 19(2):80-84.
[8] 白瑞祥, 王蔓, 陈浩然. 具有分层损伤的不同加筋形式复合材料层合板的后屈曲性态研究[J]. 计算力学学报, 2006, 23(2):186-190. BAI Rui-xiang, WANG Man, CHEN Hao-ran. Study on postbuckling behavior of delaminated composite plastes with different stiffeners[J]. Chinese Journal of Cmputational Mechanics, 2006, 23(2):186-190.
[9] 张文志, 富明慧, 林敬华. 层合梁脱层分析的精细解法[J]. 工程力学, 2012, 29(7):35-41. ZHANG Wen-zhi, FU Ming-hui, LIN Jing-hua. A precise method for delamination analysis on laminated composite beams[J]. Engineering Mechanics, 2012, 29(7):35-41.
[10] AVILÉS F, CARLSSON L A. Elastic foundation analysis of local face buckling in debonded sandwich columns[J]. Mechanics of Materials, 2005, 37(10):1026-1034.
[11] BURLAYENKO V N, SADOWSKI T. Finite element nonlinear dynamic analysis of sandwich plates with partially detached facesheet and core[J]. Finite Elements in Analysis and Design, 2012, 62:49-64.
[12] BURLAYENKO V N, SADOWSKI T. Nonlinear dynamic analysis of harmonically excited debonded sandwich plates using finite element modelling[J]. Composite Structures, 2014, 108:354-366.
[13] LOU J, WU L Z, MA L, et al. Effects of local damage on vibration characteristics of composite pyramidal truss core sandwich structure[J]. Composites part b:Engineering, 2014, 62:73-87.
[14] SHENOI R A, GROVES A, RAJAPAKSE Y D S. Theory and applications of sandwich structures[M]. Southampton, UK:University of Southampton, 2005.
