噪声与振动控制2018，Vol.38Issue(z1)：165-169,5.DOI:10.3969/j.issn.1006-1355.2018.Z1.036
基于谱几何法的耦合板结构固有振动特性分析
Free Vibration Analysis of Coupled Plates Based on Spectro-geometric Method
摘要
Abstract
The analysis model for coupled plate was constructed with the thin plate theory. Boundary conditions and coupling conditions were simulated via the artificial spring technique. The arbitrary boundary conditions and coupling conditions can be achieved by modifying the spring constants. With the consideration of bending, in-plane vibration, and coupling effect, the transverse vibration and in-plane vibration displacement functions were expressed using the Spectro-Geometric Method (SGM). The boundary discontinuity or jump phenomenon can be eliminated in the current method. Ultimately, the Hamilton’s principle is utilized to derive the characteristic equation for the structural system. Various numerical examples were presented and compared with the results from finite element method to demonstrate the effectiveness and reliability of the current method.关键词
振动与波/耦合板/谱几何法/振动分析/任意边界条件Key words
vibration and wave/coupled plates/spectro-geometric method (SGM)/vibration analysis/arbitrary boundary conditions分类
数理科学引用本文复制引用
石先杰,李春丽,任龙龙..基于谱几何法的耦合板结构固有振动特性分析[J].噪声与振动控制,2018,38(z1):165-169,5.基金项目
国家自然科学基金资助项目(51505445) （51505445）
