摘要
基于一阶剪切变形理论,应用Hamilton原理,推导了变高度、变宽度对称层合梁的自由振动微分方程,用微分求积法计算了等截面、变截面对称层合梁的自由振动频率。对一些简单特殊情况,本文的计算结果和解析解进行了对比,表明微分求积法求解变截面层合梁是一种简洁高效的计算方法。计算结果为复合材料结构的工程振动分析提供了参考。
Laminated composite material,one of the newly developed materials,is widely used in engineering fields.Free vibration differential equations of the laminated beam with variable height or variable width are derived by Hamilton Principle based on the first order shear deformation theory and its non-dimensional frequencies of free vibration are obtained by Differential Quadrature Method.The obtained results are useful for vibration analysis in engineering fields.
出处
《河南科技大学学报（自然科学版）》
CAS
2005年第2期89-92,i007,共5页
Journal of Henan University of Science And Technology:Natural Science
基金
河南科技大学科研基金资助项目(2003ZY07)
