摘要
在经典微分求积(DQ)法基础上,根据多分辨分析理论,以尺度函数为基础构造插值基函数,形成了新的微分方程边值问题的求解方法——小波-DQ法,并应用该方法分析了变截面弹性直杆的纵振动问题,给出了其频率方程,计算出了不同参数下固支-固支,自由-自由楔形直杆和锥形直杆的固有频率,数值结果表明该方法是一个简单易行高精度的方法,该方法可以推广应用于其他力学问题的数值分析.
The wavelet-DQ method combines the classic differential quadrature（DQ） method,the multi-resolution analysis theory,and a constructor of scaling function-based interpolation base functions.This is a new method for solving boundary value problems of differential equations.This method is applied to analyze the longitudinal vibration of an elastic straight rod with variable cross-section,to obtain the frequency equation. With different parameters,the natural frequencies of clamped-clamped,free-free wedge-shaped straight rod and cone-shaped straight rod are obtained.Numerical results show that the method is simple and enjoys high-precision.This method can be applied to other mechanical problems in numerical analysis.
出处
《力学与实践》
CSCD
北大核心
2010年第4期71-73,共3页
Mechanics in Engineering
基金
西安理工大学2007年度校科学研究计划项目(X类)
西安理工大学博士启动金(108-210805)资助项目
关键词
变截面杆
纵向振动
频率
小波-DQ法
variable cross-section straight rod
longitudinal vibration
frequency
wavelet-DQ method
