摘要
以耦合板结构为研究对象,建立结构振动特性分析模型,利用人工虚拟弹簧技术模拟结构边界条件及耦合效应,并通过调整弹簧刚度系数模拟任意边界条件及耦合条件。考虑板结构弯曲、面内振动及耦合边界处的耦合效应,采用谱几何法(Spectro-Geometric Method,SGM)对弯曲振动位移和面内振动位移函数进行描述,可以克服传统傅里叶级数在整个求解区域内周期展开时在边界上存在的不连续或者跳跃现象。应用Hamliton原理从能量的角度推导获得表征耦合板振动特性的离散动力学方程,求解得到耦合板结构的自由振动特性。通过不同数值算例,并与有限元法计算结果进行对比,验证了文中方法的正确性。
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 SpectroGeometric 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.
作者
石先杰
李春丽
任龙龙
Sill Xianjie;LI Chunli;REN Longlong(Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, Sichuan China;College of Mechanical and Electronic Engineering, Shandong Agricultural University, Taian 271018, Shandong China)
出处
《噪声与振动控制》
CSCD
2018年第A01期165-169,共5页
Noise and Vibration Control
基金
国家自然科学基金资助项目(51505445)
关键词
振动与波
耦合板
谱几何法
振动分析
任意边界条件
vibration and wave
coupled plates
spectxo-geometric method （SGM）
vibration analysis
arbitrary boundary conditions
