CAJ | 학술논문

从哈密顿变分原理获得夹层圆柱壳的运动微分方程和边界条件,将谱有限元法用于夹层圆柱壳结构,推导出不同周向模态下夹层圆柱壳单元的动力刚度矩阵和隐式动力形状函数,分析长径比、径厚比、芯表厚度比、芯表模量比对固有频率和模态损耗因子的影响.研究表明:小径厚比、大长径比及大芯表厚度比有利于抑制夹层圆柱壳振动.
종합밀돈변분원리획득협층원주각적운동미분방정화변계조건,장보유한원법용우협층원주각결구,추도출불동주향모태하협층원주각단원적동력강도구진화은식동력형상함수,분석장경비、경후비、심표후도비、심표모량비대고유빈솔화모태손모인자적영향.연구표명:소경후비、대장경비급대심표후도비유리우억제협층원주각진동.
Following Hamilton Principle, the differential equations of motion and boundary conditions of a sandwiched cylinder shell are established. Based on the spectral finite element method, the dynamic stiffness matrix and the implicit dynamic shape functions for the shell element are derived at different circular mode. And the effects of length radius ratio, radius thickness ratio, core/facesheet thickness ratio, and core/facesheet modulus ratio on the dimensionless natural frequencies and modal loss factors are discussed. The results suggest that small radius/thickness ratio, large length/radius ratio and large core/facesheet thickness ratio are benefit for vibration supression.