摘要
针对一般的计算层合板振动特性的方法过于繁复的问题,采用了一种高阶改进方法来计算复合材料层合板的固有频率。建立了高阶改进方法的层合板动能和势能表达式,利用哈密顿原理构建了层合板的自由振动方程并计算了层合板的固有频率。在此基础上,通过该方法计算了铺设角度、跨厚比和弹性模量比对层合板固有频率的影响。结果表明:该算法可以有效地计算出反对称铺设层合板和正交铺设层合板的固有频率,同时也可以计算任意形式铺设的层合板的固有频率。
An improved higher order method was used in calculating the natural frequency of a laminated composite plate because general calculation method was complicated.By calculating the equation of kinetic energy and potential energy,an equation of free vibration of laminated plate was established using Hamilton＇s principle and calculated the natural frequencies of plates.The influences of the laying angles,thickness ratio and the cross-elastic modulus ratio on the frequency of laminated composite plate were analyzed.It is shown that the natural frequency of antisymmetric angle-ply laminated plates and antisymmetric cross-ply laminated plate can be calculated by using the algorithm,in addition,it is feasible to calculate the natural frequency of the random form of laying laminate.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2011年第21期2604-2608,共5页
China Mechanical Engineering
基金
国家自然科学基金资助项目(10962006)
航空科学基金资助项目(2011ZA56002)
关键词
层合板
固有频率
高阶改进法
数值分析
laminated composite plate
natural frequency
refined higher-order theory
numerical analysis
